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3 years ago

The ages of five friends are 20,31,28,31 and 25. How many of the friends are older than the average (arithmetic mean) age?

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

3 friends

Step-by-step explanation:

The mean age is 27 so 3 friends are above that age.

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If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

Lucy's pet snake eats 2 mice a week how many mice will she eat in 6 weeks

alexgriva [62]

What we know: Lucy's snake eat's 2 mice a week.

To find the answer, you'll have to multiply 2 by 6.

So, since Lucy's snake eats 2 mice a week for 6 weeks.

To find the amount of mice her snake has eaten in the past 6 weeks you'll have to multiply 2 and 6.

2x6=?

------------------------------------------------------------------

The first week the snake ate 2 mice.

The second week the snake ate 2 mice.

The third week the snake ate 2 mice.

The fourth week the snake ate 2 mice.

The fifth week the snake ate 2 mice.

The sixth week the snake ate 2 mice.

Your answer would be: 12

5 0

3 years ago

Help Thrhfjfhfhhfhfhfjf

12345 [234]

Answer: 5

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + x^2 = 13^2

144 + x^2 = 169

x^2 = 25

square root both sides

x = 5

to check, do 12^2 + 5^2 =169

sqrt of 169 is 13

hope this helps

4 0

3 years ago

A circle with radius of 2cm sits inside a circle with radius of 4cm. What is the area of the shaded region?

uysha [10]

Answer

12.56.. I think

umm you haven't said which part of the circles is shaded but I assumed that it's the gap between the two circles

$\pi {4}^{2} - \: \pi {2}^{2}$

7 0

3 years ago

What is the slope of the line that passes through the points (3, 8) and (12, 1)? A. -9/7 B. -7/9 C. 7/9 D. 9/7

nekit [7.7K]

The answer to this problem is B.

4 0

3 years ago

Read 2 more answers