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chubhunter [2.5K]
2 years ago
6

What is the volume of a cone with a diameter of 30 feet and a height of 60 feet? Use 3.14 for π.

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

Answer:

14130 ft^3

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)*pi*r^2*h.

Here, V = (1/3)(3.14)(15 ft)^2*(60 ft) = 20*3.14*225 ft^3 = 14130 ft^3


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Need this ASAP please help!#2
myrzilka [38]

Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of related line is

y-1=\frac{3-1}{0-(-3)}(x-(-3))

y-1=\frac{2}{3}(x+3)

y-1=\frac{2}{3}(x)+2

Add 1 on both the sides.

y=\frac{2}{3}(x)+2+1

y=\frac{2}{3}(x)+3

The equation of related line is y=\frac{2}{3}(x)+3.

The related line is a dotted line, it means the point on the line does not included in the solution set.

The shaded region is above the line so the sign of inequity is >.

The required inequality is

y>\frac{2}{3}(x)+3

Therefore option 3 is correct.

6 0
3 years ago
Find dy/dx in the following<br> 1) y=x^[10] +10^[x] +e^[x]<br> 2) y=㏒ x +e^[x]+√x - 1/x
kakasveta [241]

1. in picture 1

2. in picture 2

Hope this helps :T

Also I am not so shure about 2, but I am 98% shure 1 is right.

6 0
2 years ago
On Saturday, 150 people at a movie theater purchased popcorn, and 350 people did not purchase popcorn. What percentage of people
MaRussiya [10]

Answer:

<u>70%</u> of people did not order popcorn at the movie theater on Saturday.

Step-by-step explanation:

first, add to get the total amount of people

150 + 350 = 500

now that we have the total, divide the people that did not buy popcorn by the total amount of people

350/500 = 0.7

then, multiply that by 100

0.7 x 100 = 70

your final answer would be 70%

7 0
3 years ago
The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given
Rom4ik [11]

f'(x)\ge0 for all x in [-3, 0], so f(x) is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at x=-3.

From the plot, it's clear that on [-3, 0] we have f'(x)=-x. So

f(x)=\displaystyle\int(-x)\,\mathrm dx=-\dfrac{x^2}2+C

for some constant C. Given that f(0)=7, we find that

7=-\dfrac{0^2}2+C\implies C=7

so that on [-3, 0] we have

f(x)=-\dfrac{x^2}2+7

and

f(-3)=\dfrac52=2.5

5 0
3 years ago
Part 1: This question has 2 parts. Tracy runs 2 miles on Monday, 2 miles on
anygoal [31]

Answer:

Part 1: m = ( 2•3 ) + 3

Part 2: 9 miles

Step-by-step explanation:

Add all the miles together

2+2+2= 6+ 3 =9

6 0
2 years ago
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