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3 years ago

How would I set up this problem?

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Since in 1990 there are 28%, we need to figure out when it gets to 31%. In addition, since it increases by 0.6% every year, we can say that 0.6x+28 (since 28 is the base value) is the percentage of babies born in wedlock every year. Therefore, to get 0.6x+28=31, we subtract 28 from both sides to get 0.6x=3
Dividing both sides by 0.6, we get x=5=the amount of years it takes to get 31% of babies born in wedlock. Since 1990 is the base value (we start from there!), we add 5 to that to get 1990+5=1995 as the yar

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Find the volume of a cone with diameter of 12m and a height of 7m

Marysya12 [62]

Answer:

A) $84\pi$ or approximately $263.76$ cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is $V=\frac{1}{3}\pi r^{2} h$ where $V$ , $r$ , and $h$ are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is $\frac{12}{2}=6$ m. Now, we know that $r=6$ and $h=7$ , so plugging these values into the equation, we get:

$V=\frac{1}{3}\pi r^{2} h$

$= \frac{1}{3} \pi *6^{2} *7$ (Substitute given values into equation)

$=\frac{1}{3}\pi *36*7\\=84\pi$ (Simplify)

Since $\pi$ is approximately $3.14$ , we know that $84\pi =84*3.14=263.76$ . Therefore, the volume of the cone is $84\pi$ or approximately $263.76$ cubic meters. Hope this helps!

6 0

3 years ago

What is 90 percent of 69?

xz_007 [3.2K]

Answer:

62.1

Step-by-step explanation:

90 percent means there are 90 parts from all 100 parts

90/100 × 69 = 62.1

8 0

4 years ago

Read 2 more answers

it takes you 45 minutes to drive the 30 miles from your house to the mall. How long will it take you drive the 75 miles to the b

Y_Kistochka [10]

Answer:

45/30 = 1.5 minutes per mile

75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Given two equilateral triangle; the length of the sides of the 2nd triangle are 2 less than 3

goldfiish [28.3K]

9514 1404 393

Answer:

first triangle -- side: 304.8 mm; perimeter: 914.4 mm

second triangle -- side: 863.6 mm; perimeter: 2590.8 mm

Step-by-step explanation:

We are given two equilateral triangles. The perimeter of the second is given as 102 inches, so its sides have length 102/3 = 34 inches. This is 2 less than 3 times the side length in the first triangle. So, adding 2 will give 3 times the side length of the first triangle: 36 inches, which also happens to be its perimeter. Those side lengths are 36/3 = 12 inches.

Now, we know:

first triangle -- side length 12 inches, perimeter 36 inches

second triangle -- side length 34 inches, perimeter 102 inches.

These measurements are desired in millimeters. Each inch is 25.4 millimeters, so we can find the desired measures by multiplying these numbers by 25.4.

12×25.4 = 304.8; 36×25.4 = 914.4

34×25.4 = 863.6; 102×25.4 = 2590.8

The desired lengths are ...

first triangle -- side: 304.8 mm; perimeter: 914.4 mm

second triangle -- side: 863.6 mm; perimeter: 2590.8 mm

6 0

3 years ago

Please help me find slope !

mars1129 [50]

y=mx+b

m is your slope

8 0

4 years ago