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Free_Kalibri [48]
3 years ago
13

Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch piec

es of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles? I just want to know what formula to use

Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

Step-by-step explanation:

You have right triangles, so use the Pythagorean Theorem

x = length of diagonal

8² + 10² = x²

164 = x²

x = √164 = 2√41 ≅ 12.8 in

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PLEASEEEEEE HELP ME WITH THIS PLEASE
Maksim231197 [3]

Question 1

r(q(-2))=r(3)=11

Question 2

q(r(-2))=q(6)=-13

8 0
1 year ago
PLZ HELP I really need help with this.
kvv77 [185]

Answer:

x = \frac{mp + e}{t}

Step-by-step explanation:

times p on both sides

then plus e on both sides

then divide t on both sides

3 0
3 years ago
Find the volume of the garden shed
Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.  

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}

Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
Read 2 more answers
An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?
seropon [69]
Answer: 38° and 52°

Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°

90° - 52° = 38°
6 0
3 years ago
99 Points!
patriot [66]
Simple...

you have: 

1.) Find the slope of the line using (-2,1) and (3,6)

Using \frac{ y_{1}-  y_{2} }{ x_{1} - x_{2}  }

\frac{1-6}{-2-3} = \frac{-5}{-5}

m=1 (slope)

2.)Tell whether the equation, 8y+3=5x+3, is a direct variation.

y=\frac{5x}{8} (None)

3.)What is the slope and y-intercept of the graph of the equation y=2x+3?

Slope =2 

y-intercept=3

C.

Thus, your answer.
3 0
2 years ago
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