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Marrrta [24]
3 years ago
5

Find the volume of the cone.

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0

Answer:

Step-by-step explanation:

volume=1/3 πr²h

=1/3×π×3²×4

=12π ft³

≈37.70 ft³

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Bill measures the circumference of a circular fish pond to be 28 ft. What is the diameter of the fish pond, rounded to the neare
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It would be 9 ft. using the knowledge of \pi times the diameter (\pi equals aprox. 3.14) equal the circumference of a circle, and since we know the circumference, we need to divide that by \pi to get the diameter.

equation:  28/3.14=8.913 
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aleksley [76]

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Which of the following represents a translation if the figure? <br>A. <br>B. <br>C. <br>D. ​
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3 years ago
In ΔBCD, the measure of ∠D=90°, the measure of ∠C=42°, and CD = 7.5 feet. Find the length of DB to the nearest tenth of a foot.
Whitepunk [10]

We have been given that in ΔBCD, the measure of ∠D=90°, the measure of ∠C=42°, and CD = 7.5 feet. We are asked to find the length of DB to nearest tenth of foot.

First of all, we will draw a right triangle using our given information.

We can see from the attachment that DB is opposite side to angle C and CD is adjacent side to angle.

We know that tangent relates opposite side of right triangle to adjacent side of right triangle.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(\angle C)=\frac{DB}{CD}

\text{tan}(42^{\circ})=\frac{DB}{7.5}

7.5\cdot\text{tan}(42^{\circ})=\frac{DB}{7.5}\cdot 7.5

7.5\cdot\text{tan}(42^{\circ})=DB

7.5\cdot0.900404044298=DB

DB=7.5\cdot0.900404044298

DB=6.753030332235\approx 6.8

Therefore, the length of DB is approximately 6.8 feet.

4 0
3 years ago
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