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3 years ago

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

Mathematics

1 answer:

Nostrana [21]3 years ago

8 0

Answer:

C 40 inches

Step-by-step explanation:

You can use the pythagorean theorem to solve for the second leg. When you plug in 42 for a and 58 for c, you get 42^2 + b^2 = 58^2, then you can isolate b, which should be 40 inches.

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xenn [34]

Answer:

Step-by-step explanation:c

7 0

3 years ago

Read 2 more answers

Graph the function f(x)=−13x+1.

pogonyaev

Graph each points:

f(x) = -13x + 1

when x = 0, y = 1

f(0) = -13(0) + 1

f(0) = 0 + 1

f(0) = 1

when x = 1, y = -14

f(1) = -13(1) + 1

f(1) = -13 + 1

f(1) = -14

when x = 2, y = -25

f(2) = -13(2) + 1

f(2) = -26 + 1

f(2) = -25

etc.

Graph each point and connect them.

7 0

4 years ago

Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can se

blagie [28]

Answer:

The height of the house is 30 feet

Step-by-step explanation:

* Lets explain how to solve the problem

- Name the place of the mirror with M

- Name the place of Paul with P

∴ MP is the distance between Paul and the mirror

∵ The distance between Paul and the mirror is 5 feet

∴ MP = 5

- Name the place of Paul's eyes with E

- Name the tip of the roof with T

∴ MET is a line segment

- Name the place of the house on the ground with H

- The line TH represent the height of the house

∴ TH = the height of the house

- The line HM is the distance between the house and the mirror

∵ The distance between the house and the mirror is 25 feet

∴ HM = 25

- Paul and the house are both perpendicular to the ground

∴ TH and EP ⊥ HM at H and E

∴ TH // EP

- Paul's eyes are 6 feet above the ground

∴ EP = 6

- All these situations represent two triangles THM and EPM

- Δ THM represents the house , the tip of the roof and the mirror

- Δ EPM represents Paul's eyes , Paul position and the mirror

- In Δ THM

∵ TH // EP

∴ m∠ THM = m∠ EPM ⇒ alternate angles

∴ m∠ HTM = m∠ PEM ⇒ alternate angles

∴ Δ THM ≈ Δ EPM ⇒ AA similarity

∴ EP/TH = MP/MH

∵ EP = 6 , MP = 5 , MH = 25

∴ 6/TH = 5/25 ⇒ by using cross multiplication

∴ 5 TH = 6 × 25

∴ 5 TH = 150 ⇒ divide both sides by 5

∴ TH = 30

- TH is the height of the house

* The height of the house is 30 feet

7 0

4 years ago

If M is the midpoint of LN and LN = 40, find LM.

joja [24]

Answer:

LM = 20

Step-by-step explanation:

LM = LN/2

=40/2

=20

8 0

3 years ago

What is the radical form of each of the given expressions?

Lera25 [3.4K]

The main rule to apply here is:

(i) $\displaystyle{ a^ {\displaystyle{ (\frac{b}{c})} }= \displaystyle{ \sqrt[c]{a^b}$

(ii)If c=2, then we write the following $\displaystyle{ a^ {\displaystyle{ (\frac{b}{2})} }= \displaystyle{ \sqrt{a^b}$ .

According to these rules:

$\displaystyle{ 5^ {\displaystyle{ (\frac{2}{3})} }= \displaystyle{ \sqrt[3]{5^2}$ .

$\displaystyle{ 5^ {\displaystyle{ (\frac{1}{2})} }= \displaystyle{ \sqrt{5^1}=\displaystyle{ \sqrt{5}$ .

$\displaystyle{ 3^ {\displaystyle{ (\frac{2}{5})} }= \displaystyle{ \sqrt[5]{3^2}$ .

$\displaystyle{ 3^ {\displaystyle{ (\frac{5}{2})} }= \displaystyle{ \sqrt{3^5}$ .

7 0

3 years ago

Read 2 more answers