The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
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Help on number 8 please!
Answer:
ab/3
Step-by-step explanation:
I don't really know how to explain.
Μα†hway
hope this helps!
Karina gets a 3% interest rate per year for her savings account. She has $8,500 in her savings account. How much money does she have in her account after 1 year?
Answer:8755
Step-by-step explanation:100%+3%=103% in decimal form 1.03
8500x1.03=8755
What is the product of 6 square root 3 and 3 square root 6 in simplest radical form
Answer:
54√2
Step-by-step explanation:
6√3 × 3√6 =
( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =
18√18 = 18√(2×9) =
18 ( √2 × √9 ) =
(18 × 3)√2 = 54√2
The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the two terms are 6√3 and 3√6.
We have to find the product of the given terms,
Radical notation is the term for an expression that employs a root, such as the square or cube root.
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
54√2 is the term shown in the radical form.
Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.
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What pair of factors of -28 has a sum of -3
Answer:
4 and -7
Step-by-step explanation:
Factors of -28: - 1, 1, - 2, 2, -4,4 ,-7,7,-14,14,-28,28
Factors with a sum of -3 = 4 and -7.
What is the common ratio for the sequence:
28, -14, 7, -3.5...
Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer.
A(2, 3) B(0,2) C(4,0) D(2,-1)
Answer: Trapezoid
Step-by-step explanation:
I need help on seeing if my answers are correct or not !
Answer:
false false false true true
Step-by-step explanation:
you got the first four wrong.
Answer:
a. False
b. False
c. False
d. True
e. True
Step-by-step explanation:
If n= 4 then
a. (7*4)^2 ≠ 7^8
b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added
c. 19^4/19 ≠ 19^4
d. (3*4)^2 = 144 which is 144 = 144
e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive
I plugged each equation into a calculator and it gave me these answers
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? = [tex]\sqrt{184.96}[/tex] = 13.6
Destiny worked her 40 regular hours last week plus 5 overtime hours at the time-and-a-half rate. Her gross pay was $926.25. What is her regular hourly rate?
Answer: $19.50
Step-by-step explanation:
Scott has 6 T-shirts and 10 dress shirts in his wardrobe. What is the probability of selecting a dress shirt from his wardrobe?
a-3/8
b-3/5
c-5/8
d-8/5
Answer:
B
Step-by-step explanation:
6 divided by 10 = 0.6
0.6 = 6/10
6/10 = 3/5
Find the approximate length of C
Answer:
c = 2√3 ≈ 3.464
Step-by-step explanation:
A 30°-60°-90° triangle is a "special" triangle that has sides in the ratios ...
1 : √3 : 2 . . . . . shortest to longest.
Comparing those to the side measures you have, we see ...
1 : √3 : 2 = b : 3 : c
Multiplying the basic ratios by √3 gives a value that matches the long side:
√3 : 3 : 2√3 = b : 3 : c
Then the value of c is 2√3 ≈ 3.464.
_____
Additional comment
Side length b is √3 ≈ 1.732.
What is the quotient?
690/16
A.
B.
C.
D.
43 is the quotient
=======
[tex]\rightarrow \sf \dfrac{690}{16}[/tex]
[tex]\rightarrow \sf 43\dfrac{2}{16}[/tex]
=========
In a mixed fraction like: [tex]\sf a \dfrac{b}{c}[/tex]
a = quotientb = remainderc = divisorAnswer:
43
Step-by-step explanation:
To find the quotient of 690/16, the first step is to simplify the expression so that it would be easier to simplify.
[tex]\rightarrowtail \dfrac{690}{16} = \dfrac{345}{8}[/tex]
Now, let's simplify the expresssion using long division.
(Refer to image attached)
According to the image, we can tell that quotient is 43. Keep in mind that the quotient is the number obtained at the top.
What is the area of this rectangle?
42 sq ft
17 ft
34 ft
52 sq ft
Answer:
42 ft²
Step-by-step explanation:
→ State the area of the formula of rectangle
Length × Width
→ Substitute in the numbers
14 × 3 = 42 ft²
Answer:
42 sq ft
Step-by-step explanation:
L*W=A
14*3=42
A rectangle's length is 3 times its width. If the perimeter is 32, what is the area?
1 (5x-3x2-6)-(3x2-5x+7)
2 (2m2+7m+8) -(1-2m-2m2)
Answer:
#1 -6
#2 14
Step-by-step explanation:
#1 You would put 5x and then you would subtract it by 3 then you multiply it by 3×2 and your answer will be -6
#2 You would add 2 add 7 add 8 and then you would subtract 1 and subtract 2.and your answer 14
Geri ran in a marathon race. It took her 3 hours and 28 minutes to run 26 miles. How many minutes did it take her to run 1 mile if she ran at the same rate for the whole race? (1 hour = 60 minutes)
Answer:
8minutes
Step-by-step explanation:
30×60=180
180+28=208
26miles=208minutes
1mile=¿
=8minutes
Dwayne is making a documentary about the formation of rocks. He started on Wednesday with
a certain amount of film footage and then added 3.75 hours. Then, on Friday he cut 0.28 hours
of footage. Over the weekend he cut another 1.3 hours of footage. On Monday he added 1.25
more hours of footage and finally on Tuesday got rid of another 2.7 hours of footage to have his
final film length. If Dwayne started on Wednesday with 6.8 hours of footage, what was the final
length of his documentary? Round your answer to the nearest tenth if necessary.
Joe was paid $216 for 16 hours of work. How much was he paid per hour
Answer:
13.5 dollars per hour
Step-by-step explanation:
216 divided by 16 is 13.5
Answer:
13.5
Step-by-step explanation:
All you have to do is divide $216 by 16
Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10
One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Eliminating variables from the system of equations?System of equations consists of a different set of equations with unknown variables.
Given the system of equations
2x+3y=-5
2x-3y=10
Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"
(2x-2x)+(3y+3y) = -5 + 10
6y = 5
Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
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Maya has warm 120 caramel apples to sell each caramel Apple is covered with
one topping how many caramel apples are covered with sprinkles
Answer:
The total number of caramel apples are covered with sprinkles is 20 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
1/5 of the caramel apples are covered with peanuts.
1/3 of the caramel apples are covered with chocolate chips.
3/10 of the caramel apples are covered with coconut. The rest are covered with sprinkles.
The following steps can be used in order to determine the total number of caramel apples are covered with sprinkles:
Step 1 - The arithmetic operations can be used in order to determine the total number of caramel apples are covered with sprinkles.
Step 2 - Let 'n' be the number of caramel apples are covered with sprinkles.
Step 3 - So, the value of 'n' is calculated as:
Step 4 - Simplify the above equation.
120 = 24 + 40 + 36 + n
n = 20
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Answer:
There are 20 caramel apples that are covered with sprinkles.
Step-by-step explanation:
First we should make all of these have a common denominator. We could make these be 1/5 = 6/30, 1/3 = 10/30, 3/10 = 9/30. Now we can add them all up. 6 + 10 + 9 = 25/30. Now, to figure out how many apples is 1/30. 120 divided by 30 = 4. Now we can do 4x25 because that's how many non sprinkle apples there are. This is 100. 120 - 100 = 20. You could have also done 4x5 because there were 5/30 sprinkle apples, and gotten the same answer.
so, there are 20 caramel apples that are covered with sprinkles.
{hope I helped you.]
What is the surface area?
15 cm
12 cm
15 cm
18 cm
21 cm
Triangular Prism
Answer:
949
Step-by-step explanation:
just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer
SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS HELP ME the question is like 3-v BUT LIKE THE v has a line on top so its like 3-v32/1+v2 LIKE I DONT UNDERSTAND
can be written in the form a + bv2
where a and b are integers .
Answer:
[tex]\sf -11+7\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]
Rewrite 32 as 16 · 2:
[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]
Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]
As [tex]\sf \sqrt{16}=4[/tex]:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]
Multiply by the conjugate:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]
[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]
As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]
[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]
[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]
[tex]\sf \implies -11+7\sqrt{2}[/tex]
A) name the angle relationship
B) congruent or supplementary
C) angle measurement
Help please
Step-by-step explanation:
A is adjacent angles
B is supplementary
C is 180 - 131 = 49°
How many degrees are in an angle that turns 1/2 of a cirle
Answer:
180 degrees.
Step-by-step explanation:
360 degrees is a full circle, so half of it is 180 degrees.
Math question correctly answer with good explanation. Please and thank you
Answer:
Step-by-step explanation:
===========================================================
Explanation:
The figure is an unfolded version of a pyramid, so it's placed as flat as possible.
The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.
Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.
So the total surface area is
BaseArea + LateralSurfaceArea = 49+70 = 119 square meters
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If he paid 8% sales tax on the sale price, how much did he pay in total?
On Saturday, 73 people went to the two o’clock movie at the theater. Each person paid $4.00. How much money did the theater collect in all?
Answer:
$292.00
Step-by-step explanation:
Total amount collected= number of people×amount per each person
total amount= 73×$4.00
Total amount collected=$292.00
Answer:
$292
Step-by-step explanation:
its really easy, you just multiply 73 to 4
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answer:
x = sqroot(122)
Step-by-step explanation:
First find the line that goes thru the middle of the shape. It is the hypotenuse of the bottom/left triangle. Use the pythagorean thm.
9^2 + 5^2 = h^2
81 + 25 = h^2
sqroot106 = h
Now sqroot106 is a leg in the right triangle that is on the top/right in the image.
Use pythagorean thm again.
4^2 + (sqroot106)^2
= x^2
16 + 106 = x^2
122 = x^2
sqroot122 = x
The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.
AB = m – 2
BC = m + 4
AC = m
List the angles from smallest to largest.
angle
, angle
, angle
✔ A
.
Answer:
m(C)<m(B)<m(A).
Step-by-step explanation:
1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then
2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).
The list of the angles from smallest to largest are C, B and A.
Given that a triangle has side measurements represented in terms of the variable m, where m > 6.
AB = m - 2
BC = m + 4
AC = m
We need to list the angles from smallest to largest.
Since none of the sides are equal, therefore it is a scalene triangle.
Let us consider m = 6.
Then,
AB = m - 2
AB = 6 - 2
AB = 4
BC = m + 4
BC = 6+4
BC = 10
AC = m
AC = 6
It means that the longest side is BC, the medium side is AC and the shortest side is AB.
We know that the longest side of a triangle corresponds to the largest angle and vise versa.
Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
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4.
rhombus abcd has mlabc = 120° and
ab = 7. find diagonal length, bd.
Answer: 7
Step-by-step explanation:
