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alexgriva [62]
3 years ago
6

A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for

ms a right cone 36 feet high and a base diameter of 60 feet. How many cubic yards of sand has the department received?
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

              = 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

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Pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

so

\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}

Let

z ---> the scale factor

z=\frac{XY}{PQ}

substitute the given values

z=\frac{30}{5}=6

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

so

z=\frac{p_1}{p_2}

The perimeter of triangle PQR is

p_2=5+10+6=21\ cm

we have

z=6\\p_2=21\ cm

substitute

6=\frac{p_1}{21}

p_1=6(21)=126\ cm

therefore

The perimeter of triangle XYZ is 126 cm

5 0
3 years ago
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If <span>r^2=x^2+y^2 then
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What is the Analysis of Cramer’s rule?
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Factor completely −4x2 + 16x − 24.
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The answer is choice B.
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Can you answer (a,b)?
Alex

Answer:

a) 11.283 dollars

b) 1.435 hour

Step-by-step explanation:

1 kilo watt of electricity used for 1 hour

Charges of electricity per unit = $0.05224

Laura uses 5 heaters to warm her house. The electricity consumed by each use 1800 wats or 1.8 kilo wats

a) Charges in one day = 5 heaters * 1.8 kilo wats per hour * 24  hour* $0.05224 per kilowats per hour

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