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2 years ago

I need help with geometry

Mathematics

1 answer:

lesya [120]2 years ago

6 0

The answer is B

See if we shift pt C by one box upwards and 3 box rightward we reach pt C' , each box represent 2 units so the translation is x--> x+6
And y--> y+2
Answer --> b

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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

10 months ago

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Write a point that is the same distance from (0,0) as (0,6)

Bess [88]

-0,6 i believe would be the same distance from 0,0 as 0,6.

8 0

2 years ago

Ms. Pecho currently owes $637.50 simple interest

rusak2 [61]

Answer:

Step-by-step explanation:1

1/2 years which is 1 year and 5 months.

Explanation:

The formula for simple interest is

You can either substitute the given values first and the solve for

T, or you can transpose the formula to have

T as the subject.

T=100xSIPR

T=100 x 637.50

T=100×637.502500×17

T=1.5

As time is always in years, this means it was for

112 years which is 1 year and 5

months

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2 years ago

lex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has?

emmasim [6.3K]

There are 68 quarters and 16 nickels

3 0

3 years ago

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You have a mean score of 84 after taking five 100-point tests. What do you need to score on the sixth 100-point test to have a m

kap26 [50]

The mean of n numbers is the sum of the numbers divided by n.

You have a mean score of 84 after taking 5 tests. Let x be the sum of scores.
$\frac{x}{5}=84 \\
x=84 \times 5 \\
x=420$
You scored a total of 420 points on five tests.

You need to have a mean score of 85 after taking 6 tests. Let y be the score you need to obtain. Your total score on 6 tests is 420+y.
$\frac{420+y}{6}=85 \\
420+y=85 \times 6 \\
420+y=510 \\
y=510-420 \\
y=90$

You need to score 90 points on the sixth test.

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2 years ago

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