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2 years ago

A 24-f0ot ladder rests against a house near a second story window 20 feet from the ground. Assume that the ladder

Mathematics

1 answer:

Marianna [84]2 years ago

3 0

Answer:

Step-by-step explanation:

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Which of the following is irrational?

monitta

Answer:

√6 is irrational.

Step-by-step explanation:

The square roots of the others are rational

sqrt 0.16 = 0.4

sqrt 900 = 30

sqrt25 = 6.

8 0

2 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

11 months ago

Read 2 more answers

Which of the following equations describe the line shown below? <br><br>Check all that apply.

WITCHER [35]

Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5

Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)

In short, Your Answers would be Option C & D

Hope this helps!

6 0

3 years ago

the area of a roof on a house is n756 square inches. the length of the roof is 108 inches. how many inches wide is the roof?

Leno4ka [110]

<span>Area = Length * Width

So Width = Area/Length = 756/108 = 7 inches wide</span><span>
</span>

6 0

3 years ago

If the cost is $58 and the selling price is $63 then what is the percent of increase

hram777 [196]

Answer:

the cost of increase is $5.00

3 0

3 years ago

Read 2 more answers