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3 years ago

The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer:

r=√(3v)/(xh)

Step-by-step explanation:

the volume of a cone is given as

v= 1/3 xr^2 h. Then we need the radius, r, of the cone

v= 1/3 xr^2 h

Let us cross multiply we have

3v= xr^2h

Make r^2 subject of the formula we have

r^2= 3v/xh

Find the square root of bother sides we have

r=√(3v)/(xh)

the radius, r, of the cone can be expressed as r=√(3v)/(xh)

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A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Paladinen [302]

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, considering that the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side, the triangle is a right triangle.

Pythagorean Theorem:

The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side.

so it is a right triangle.

6 0

3 years ago

What is the total surface area of the drawing?

Soloha48 [4]

Total surface area equals area of 5 rectangular faces + 2 pentagonal faces

Area of 5 rectangular faces

$=5 \times 6 \times 9 km^2$

$=270 km^2$

Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.

$=5 \times \frac{1}{2} \times 9 \times 6.2 \times 2km^2$

$=279km^2$

The toatal surface area is

$=270+279=549 km^2$

The correct answer is A

3 0

3 years ago

Find the slope of the line through the given points . If the slope of the line is unrefined, state so(7,4) and (3,6)

Alja [10]

Given the following question:

Point A = (7, 4) = (x1, y1)

Point B = (3, 6) = (x2, y2)

To find the slope use rise over run:

$\begin{gathered} \frac{y2-y1}{x2-x1} \\ \frac{6-4}{3-7} \\ 6-2=2 \\ 3-7=-4 \\ \frac{2}{-4} \\ \frac{2}{-4}=-0.5 \\ m=-0.5 \end{gathered}$

m = -0.5

4 0

1 year ago

Misha's test score decreased from 80% to 60%. What was the approximate percent decrease of Misha's test score?

Elina [12.6K]

**IF YOU WANT TO KNOW WHAT THE DIFFERENCE IS BETWEEN 80% AND 60%
80% - 60 % is the same as 80 - 60.

80 - 60 = 20

So 20% is the answer.

6 0

4 years ago

Read 2 more answers

What is the point-slope form of a line with slope -5 that contains the point (2, -1)?

Arisa [49]

Point slope formula:
$y-y_1=m(x-x_1)$
We know that:
y1=-1
x1=2
m=-5
So we plug those into the formula
$y-(-1)=-5(x-2)$
negative + negative= positive so..
Final answer:
<span> $y+1=-5(x-2)$ </span>

8 0

4 years ago

Read 2 more answers