find the HCF of 447 577 669​

Answers

Answer 1

Answer:

3

Step-by-step explanation:

447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3
Answer 2

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1


Related Questions

A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answers

Answer:

6300.70 feet

Step-by-step explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

sine = opposite / hypotenusesin 28° = 2958/dd = 2958/sin 28°d = 6300.70 feet
Perpendicular=P=2958Hypotenuse=H

Lets see

sinØ=P/Hsin28=2958/HH=2958/sin28H=6300.7ft

can somebody explain how to do this

Answers

Answer:

The area of figure = 260 cm²

Step-by-step explanation:

Area of figure = area of rectangle+ area of triangle

=> l×b + 1/2 ×b×h

=> 10×20 + 1/2 × 20 × 6

=> 200 + 60

=> 260 cm²

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle
= l × w
= 20 × 10
= 200 cm²

Area of the triangle
= ½bh
= ½ × 20 × 6
= ½ × 120
= 60 cm²

Area of the total figure
= Area of the rectangle + Area of the triangle
= 200 cm² + 60 cm²
= 260 cm²

________
Hope it helps ⚜

Does this mean my data is normally distributed or not? How did you know?

Answers

Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

Need help with math please

Answers

Answer:

45°

Step-by-step explanation:

if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°

Find the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .

lines l and m are parallel. Measure def is three times abc. Measure bcd=25%, measure cde=55%. Find measure abc.

Answers

Answer:

<ABC= 45 degrees

Angles on a straight line add up to 180

3x+ x= 180

4x=180

x=180÷4

x=45

Answer:

Measure of ABC = 15 degrees.

Step-by-step explanation:

We draw 2  lines parallel  to l and m , one passing through pont C ( n) and the other passing through point D (p).

If < abc = x degrees then the angle below line n = 25 - x. As the one above = x degrees ( alternate to < ABC).

The angle below line p = < DEF 3x degrees (alternate angles)

So as  < CDE = 55:

25 - x + 3x = 55

2x = 30

x = 15.

So < ABC = 15 degrees.

7. Nine more than three times a mumber is -6​

Answers

Answer:

-5

Step-by-step explanation:

Your equation will look like this:

3x+9=-6

Subtract 9 from both sides.

3x+9−9=−6−9

3x=−15

Divide both sides by 3.

3x/3=−15/3

x=−5

Hope this helped!

The asked number is -5

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, nine more than three times a number is -6​, we need to find the number,

Let us consider the asked number be x

Establishing the equation, we get;

3x+9 = -6

Subtract 9 from both sides.

3x+9-9 = -6-9

3x = -15

Divide both sides by 3.

3x/3 = -15/3

x = -5

Hence, the asked number is -5

Learn more about equations, click;

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A number is chosen at random from 1 to 12. Find the probability of selecting a prime number.

Answers

Answer:

1/2

Step-by-step explanation:

Prim number are 1, 2, 3, 4, 7, and 11. That is six numbers out of twelves, 6/12, is 50%.

4/3 of a number is more than 3/4 of its number by 1 . find the number​

Answers

Question : -

4/3 of a number is more than 3/4 of its number by 1 . find the number .

Given : -

4/3 of a no. is more than 3/4 of its no. by 1

To Find : -

We have to find the number .

To Assume : -

Let the no. be x

So Solution goes from here :

According to question 4/3 of a number is equal to :

[tex] \longmapsto \: \frac{4}{3} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{4x}{3} [/tex]

According to question 3/4 of a number is equal to :

[tex]\longmapsto \: \frac{3}{4} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{3x}{4} [/tex]

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]

Now , transposing 3x/4 to left hand side :

[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]

Now , taking L.C.M :

[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]

Now by calculating :

[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]

Now Subtracting 16x with 9x and transposing 12 to right hand side :

[tex]\longmapsto \: 7x = 12[/tex]

So ,

[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]

Therefore , the number is 12/7 .

#[tex] \sf{Keep \: Learning }[/tex]

How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.

Answers

Answer:

1

y = 0

x = 2

Step-by-step explanation:

The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.

Lets start with x - y = 2

If we add y to both sides we get: x = 2 + y

Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.

ay - ax + 2a = 0

When we substitute our value of x into this equation and get the folowing:

ay - a(2 + y) +2a = 0

ay -2a - ay + 2a = 0

All of the terms cancel out on the left side leaving us with:

0 = 0

This means that the only way this system can be solved is if y is equal to 0.

Going back to the first equation x - y = 2

x - 0 = 2   so x = 2

This is the only solution to that system of equations, which means it forms a point instead of a line.

Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. units

b) Circumference of circle with diameter 7 units

r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 units

c) Diameter of circle with area 121π square units

A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

To learn more on Circles click:

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Could someone help me please.

Answers

Answer:

D

Step-by-step explanation:

The expression is equal to 1/300

D is the only other one equal to 1/300


Josh is cutting a 25-inch beard inte tinch sections How many whole sections will the end up with

Answers

14 whole sections can be cut in all.

Selim walked 1/12 of a mile to the coffee shop in 712 of a mile to the dry cleaners how far apart is the coffee shop from the dry cleaners grid your answer NOTE: grid your answer as a fraction not a mixed number

Answers

Answer:

6/12 of a mile

Step-by-step explanation:

7/12-1/12=16/12

give me full working and explanation and I give you stars. deal..?​​

Answers

Length: 44 metre

perimeter of rectangle = 2(length+breadth)

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 m

If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference​

Answers

Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =

Answers

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.

a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane




ray
line segment
point
line
perpendicular lines
parallel lines

Answers

Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

can i pleas have help with this

Answers

Answer:

133m²

Step-by-step explanation:

Super easy!

A = BxH

  = 9.5x14

  = 133

So hence, your answer is 133.

The area of this rhombus is 133m²

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Have a great day!

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Y=x+8
find the slope and the y-intercept of the line.

Answers

Y=Mx+b is slope intercept form so mx is the slope which is 1 (even though you don’t see the 1) and the b is the y intercept so that is 8 (0,8)
Answer:

Slope: 1

y-intercept: 8

Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.

Hope it helps.

Do comment if you have any query.

100 POINTS! PLEASE ANSWER!!! WILL MARK BRAILIEST!! THANKS! (show work if you can)

Answers

Answer:

5.7594087

Step-by-step explanation:

0.03x8888^14

How do I do these problems?

Answers

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

A necklace has 16 charms, and each charm weighs 1 ounce. How many pounds does the necklace weigh?

A) 1/2 pound

B) 1 pound

C) 1 1/2 pounds

D) 2 pounds

Answers

Answer:

B. 1 pound

Step-by-step explanation:

16 * 1 = 16

1 ounce = 0.0625 pounds

1 pound

What is 0.08÷3.16? as a decimal.

Answers

Answer:

It's 0.03 rounded to the nearest hundredth.

Step-by-step explanation:

The whole answer is 0.0253164557.

3. Explain the relationship between area and square units

Answers

Answer:

In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?

Answers

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.

Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be

[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]

More about the probability link is given below.

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Express the first 10 terms of a sequence 2,5,8,11 in sigma notation

Answers

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

Please help me on this

Answers

Answer:

The answer is $3. 75

Step-by-step explanation:

The question is somehow I just did what they said but I hope it helps

Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?

Answers

I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!

Answers

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

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Please help nowww thxx For PQR, which one is equal to sin(P)? Witch expression makes the equation true for all values of x? 15x - 15 = 5(?) A. 3x - 3B. 3x- 15 C.5x-5D.12x-1 Albert has a rectangular print that is 1 foot in length and 8 inches in width. He wants to reduce the dimensions of the print proportionally so that the new print has a width of 3 inches. What should be the length of the new print? Read the passages to answer the questions and give your best answers.Questions: Which sentence BEST explains why the author of "The Hardy Live Oak" says that the live oak trees are "a treasure in hot places with harsh sunny weather"?A.They provide shade in the summer heat.B.They also provide food for many animals.C.Live oak trees just blend into the landscape.D.Each live oak tree can produce thousands of acorns.Which of these is a main idea developed in BOTH passages?A.Insect pests can cause terrible damage to full-grown oak trees.B.The features of oak trees benefit the places where they grow.C.Oak trees provide a very important food source for animals.D.The height of an oak tree is its most important feature.First Passage: The Northern Red OakThe northern red oak is a grand-looking tree. It can grow as high as 75 feet tall. The fall season brings shorter days and cooler temperatures. Fall also brings changes to the leaves of the northern red oak. Leaves turn from green to shades of yellow, orange, and red, which is an amazing sight. It makes the northern red oak an eye-catching stand out among other trees in the oak family.In summer, the gray rough branches of the northern red oak grow long and wide. This is the season when branches can become overly long and heavy. The weight of the branches' leaves adds even more pounds. If the growth of the tree is not managed, the entire appearance of the tree can be changed. Early trimming helps groom the tree and keeps it from looking like a rounded triangle by summer's end.Both the size and the shape of the northern red oak's leaves are especially interesting. It is easy to find leaves that are larger than a man's hand. They often have 8 or more pointed fingers. That makes northern red oak leaves look like large, flattened evergreen trees.Residents in the Midwest especially enjoy the beauty of their northern red oaks in October. A common sight is to see people walking or relaxing under them. They gaze up, watching the colored leaves dance in the cool fall breeze, knowing that winter will soon come to take the leaves away.Second Passage: The Hardy Live OakThe live oak tree is one of the toughest trees found in the United States. It is not a tall tree. It grows only 30 to 40 feet high. But its branches are broad and strong. The branches make up for the tree's rather short height. How? The branches stretch out from the trunk like thick arms on a giant. The leaves on the branches are simple. They are oval in shape. They glisten in the sun. Most importantly, live oak leaves are always there. Live oaks stay green all year round.The live oak is also a fast growing tree. It is often planted in the lawns of new houses. This lets people living in the house have shade in just a few years. However, the owner of the tree needs to keep the lower branches trimmed. If the lower branches are not trimmed, over time the lower tree limbs will grow downward toward the ground. These branches will seem to almost slither like a snake. In time, they will be only inches above the ground. They will also spread out over the lawn for up to 25 feet from the trunk of the tree.The live oak tree is popular for a very important reason. It can live in very hot weather. Strong sunlight does not kill it. People in the southern United States see so many live oaks that they no longer really notice them. Live oak trees just blend into the landscape. Yet, live oaks contribute to the landscape in many ways. They provide shade in the summer heat. They also provide food for many animals. Each live oak tree can produce thousands of acorns. Squirrels are just one type of animal that scurries to feast on the little brown nuts. Live oaks are certainly a treasure in hot places with harsh sunny weather.