Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution for h that Paul writes?

Answer:

10) acute triangle

13) right triangle

Step-by-step explanation:

all triangles have angles that add up to 180 degrees

find the third angle of the triangle by subtracting the known angles from 180

180-75-78=27

acute triangles have no angles that surpass 90 degrees which fits that triangle's description

180-54-36=90

since one angle is 90 degrees, it is a right triangle

Answer:

[tex]\huge\boxed{\bf\:10) \: Acute \: angled \: triangle}[/tex]

[tex]\huge\boxed{\bf\:11) \: Right \: angled \: triangle}[/tex]

Step-by-step explanation:

▪︎ Question 10 :

We need to find the missing angle at first. Take it as 'x' .

We know through the angle sum property of a triangle that the total sum of all the angles in a triangle will sum up to 180°. Hence,

75° + 78° + x° = 180°

153° + x° = 180°

x° = 180° - 153°

x° = 27°

Then, since all the angles are less than 90°, we can say that the triangle is an acute angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

▪︎ Question 11 :

Just like the above question, we need to find the missing angle at first. Take it as 'y' .

The total sum of all the angles in a triangle will sum up to 180° (angle sum property of triangles). Hence,

36° + 54° + y° = 180°

90° + y° = 180°

y° = 180° - 90°

y° = 90°

Since, one angle is equal to 90°, the given triangle is a right angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

x=1

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

u just filp it over and, well, there

Answer:

doc tor

Step-by-step explanation:

Answer:

Doc   tor

Step-by-step explanation:

Two syllable word

Answer:

3812.5

Step-by-step explanation:

2500 x 3.5% = 87.5 x 15 = 1312.5 + 2500 = 3812.5

The money will Alec have in 15 years with 3.5% simple interest is equal to 3812.5.

We have given that,

Alec opened up a savings account with $2,500 and the account will earn 3.5% simple interest.

Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

2500 x 3.5%

= 87.5 x 15

= 1312.5 + 2500

= 3812.5

Therefore we get the money will he have in 15 years is equal to 3812.5.

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Answer:

I will say point b

Step-by-step explanation:

because -0.905 = -0.91 = -0.9 = b beacuse 0.905 isn't close to 1 but 0.95 is closer so i would say be

Answer

Area- 9 and Perimeter- 12

Step-by-step explanation:

Samantha's percent error is 15.24%.

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.

Given:

Samantha guessed there were 295 jelly beans.

There were actually 250 jelly beans in the jar.

So, the percent error

= (295- 250) / 295 x 100

= 45 / 295 x 100

= 0.15254 x 100

= 15.24 %

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Answer:

C. 20x+100<400, the new theater must have fewer than 15 seats

Step-by-step explanation:

Has to be less than 400 seats and we must include the 100 balcony seats

Answer:

4m

Step-by-step explanation:

So 96 divided by 6 is 16, 16 divided by 2 is 8, 8 divided by 2 is 4.

Answer: 3.3 times 10^5 is bigger

Step-by-step explanation: 10^5= 10*10*10*10*10=100,000.

so 100,000 multiplied by 3.3 = 330,000

or 3.1 multiplied by 100,000 = 310,000 so it's obvious that 330,000 is bigger.

Answer: 452

Step-by-step explanation: the area of the whole area is 500. the area of the white space inside is 48. you subtract 48 from 500 and get 452.

Answer:

[tex]beinggreat78~here![/tex]

I would have to agree with what the other person said, 452. Hope this helps.

Answer:

4.08

Step-by-step explanation:

Answer: 30° - 3d ≤ 20°

Step-by-step explanation:

Here the constant rate of decreasing the temperature = d degree,

Thus, the total decreasing in three days = 3d degree,

If the temperature on Monday = 30°

Then the temperature n Thursday =  30° - 3d

Since, The swimming pool is open when the high temperature is higher than 20°

⇒ 30° - 3d ≤ 20°

Which is the required inequality to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

Answer:

30-3d\le 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The plan is to find the third side. It and the 9 foot side form a right angle. The base is given as 9 feet. The third sid will be the altitutude. The formula is Area = 1/2 * Base * third side.

Formulas

c^2 = b^2 + a^2

Area = 1/2 b * a

Givens

c = 13 feet

a = ?

b = 9 feet.

Answer: 42.2 square feet.

Solution

c^2 = b^2 + a^2

13^2 = 9^2 + a^2

169 = 81 + a^2                 Subtract 81 from both sides.

169 - 81 =81 - 81 + a^2    Combine

88 = a^2                          Take the square root of both sides

√a^2=√88

a = 9.381

Area = 1/2 * 9 * 9.381

Area = 42.21

Rounded to the nearest 1/10 Area = 42.2

Answer:

x = -2, 0, 2/3

Step-by-step explanation:

3x³ + 4x² - 4x = 0

x(3x² + 4x - 4) = 0

x(3x² + 6x - 2x - 4) = 0

x(3x - 2)(x + 2) = 0

ZEROs

x = 0

3x - 2 = 0

x = 2/3

x + 2 = 0

x = -2

Hope this helps!

Answer:

C, ∠s = 128°

Step-by-step explanation:

These two angle measures are corresponding(can be found in matching corners of a transversal cutting into two parallel lines), which means they are congruent(and congruent angles measure the same degree).

Answer:

Number line graph with closed circle on 30 and shading to the right

because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.

THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.

Answer:

x < 2

Step-by-step explanation:

5x-25<-15

Add 25 to each side

5x-25+25<-15+25

5x < 10

Divide by 5

5x/5 < 10/5

x < 2

Open circle at 2   line to left

Answer: Point A because it is between -5.85.

Step-by-step explanation:

Answer:

Width = 93

Step-by-step explanation:

12 × 16 is 192

285 - 192 = 93

Answer:

The width is 93.

Step-by-step explanation:

I took the test.

Answer:

90 ft sq

Step-by-step explanation:

L*W is the formula so 9 times 10 is 90.

Step-by-step explanation:

To find the quadrent a coordinate pair is in:

1. look at the "x" value in the (x,y) pair

2. if its negetive go leftward and if its positive go rightward

3. once you have moved to the respective x location do the same thing with the y coordinate in the (x,y) pair

4. up is positive for y and down is negitive.

for example (3,3) would be 3 to the right and 3 up so its in the top right quadrent

(-3,-3) would be 3 left and 3 down so its in the bottom left  

Answer:

C. y = 4.5x

Step-by-step explanation:

The recipe calls for 4.5 teaspoons of sugar to make each cup of pudding. To make 2 cups of pudding, we would need two groups of 4.5 teaspoons, or 4.5+4.5=9 teaspoons of sugar. To make 3 cups of pudding, we would need 3 groups of 4.5 teaspoons, or 4.5+4.5+4.5=13.5 teaspoons of sugar. This repeated addition can be simplified as multiplication, because 4.5+4.5=4.5*2. We will need y teaspoons of sugar to make x cups of pudding. For each cup of pudding, we need 4.5 teaspoons of sugar. So, y=4.5x. If we made 2 cups of pudding (meaning x = 2 now), we fill that in and solve for y, which equals 9, as seen at the start.

Answer:

C.  y = 4.5x

Step-by-step explanation:

Hope I helped!!

Answer: The Casio FX-9750GII Graphic Calculator features all the basic functionality of an entry-level graphing calculator, making it great for math coursework from Pre-Algebra to AP Calculus and Statistics and courses in between (like Geometry and Trigonometry).

Step-by-step explanation: pls friend can i get branliest and thanks

Answer:

Xiu

Explanation:

0.96 is about 1. 1 represents the length of one time around the block. If she goes around the block 13 times, that is 13 multiplied by 1, which is 13.

Please consider giving me brainliest! Thanks! :)

Answer:

6.5 feet.

Step-by-step explanation: The question is asking for the radius of the triangle, and the formula for that is r = c / (2 * π). Plugging in 41 for c, and 3.14 for two, the answer rounds up to 6.5 or 6.53 feet.

Answer:

The average change in temperature per hour was -8°F.

Step-by-step explanation:

Using the equation 48-(-16) we know that the temperature dropped by 64°F.

[tex]48-(-16)=64[/tex]

We now know that the temperature dropped by 64°F in a period of 8 hours. Using the equation -64/8 we can find the average change in temperature per hour.

[tex]\frac{-64}{8} = -8[/tex]

Therefore, the average change in temperature per hour was -8°F.

Thanks

this help a lot