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4vir4ik [10]
3 years ago
6

What is the length of the third side of the window frame below?

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
A^2+b^2=c^2
42^2+b^2=58^2
1764+b^2=3364
b^2=3364-1764
b^2=1600
square root b^2=square root 1600
b=40 inches
Artist 52 [7]3 years ago
7 0

Answer:

Option A. 16 inches

Step-by-step explanation:

Since in a right angle triangle Pythagoras theorem is applicable.

Base² + height² = Hypotenuse²

In the given window frame height = 42 inches and hypotenuse = 58 inches

Therefore by Pythagoras theorem

58² = 42² + Base²

Base² = 58² - 42² = 3364 - 1764 = 1600

Base = √1600 = 40 inches

Therefore Option A. 40 inches is the answer.

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oee [108]

Answer:

B

Step-by-step explanation:

In 45 45 90 triangles the ratio is a:a:a root 2 so the answer would be 3root 2/2 or c because when multiplied again by root 2 it will get you 3.

5 0
3 years ago
I need the answer to this with the steps, that’d help me out so much thank you❤️.
Hatshy [7]

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

5 0
4 years ago
Felicia earns $1,200 a month. The table displays her monthly budget
MrMuchimi

Answer:

No table shown

Step-by-step explanation:

3 0
3 years ago
2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.
liberstina [14]
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4 0
3 years ago
Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'? reflection rotation translation dilation
Keith_Richards [23]

Answer:

Dilation.

Step-by-step explanation:

From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .

Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.

But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.

Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".

7 0
3 years ago
Read 2 more answers
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