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3 years ago

On a scale drawing, the length of a swimming pool is 40 cm. The actual length of the swimming pool is 18 m.

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

Hey dear I helped you

Step-by-step explanation:

I hope this helped you

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What is the spees of the boat in meters per

Dahasolnce [82]

Answer C. 2.00 Meters/second

1 kilometer = 1000 meter
1 hour = 3600 seconds

7.2 x 1000 = 7200
so 7200 meters an hour
or 7200 meters every 3600 seconds
7200/3600
we then want the 3600 to become one second to find meters per (1)second.
so 7200/3600 simplified = 2. 2 meters per second
answer C

5 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

If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF?

allsm [11]

Answer:

C. 5

Step-by-step explanation:

Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:

distance formula:

d = √(x2 - x1)^2 + (y2 - y1)^2

d = √(2 - 2)^2 + (-1 - 4)^2

d = √(0)^2 + (-5)^2

d = √0 + 25

d = √25

d = 5

4 0

3 years ago

Read 2 more answers

What is the Slope of a line That contains (2,5) and (3, 1) Sketch the graph. Need help with this question.

Svetach [21]

Answer:

-4/1

Step-by-step explanation:

To find the slope, first plot the two points we are given on the provided coordinate plain. Then using rise/run (slope) find the distance between the two points going up and over or rising and running. So we go up 4 and over 1, this means the slope is 4/1. Since the line we just graphed is going top left towards bottom right, it is negative.

Pic included...

I hope this helps u!! :)

5 0

3 years ago

Which equation shows y=34x−52y=34x−52 in standard form?

Nonamiya [84]

3 0

3 years ago