Work out the area of a rectangle with base, b = 15mm and height, h = 12mm

On saturday rhonda filled 3 1/3 buckets with shells . on sunday she filled 4 2/3 buckets with shells .how many more buckets of s

Natasha_Volkova [10]

The answer is 4/3 buckets

6 0

3 years ago

Which type of correlation would you expect to see between the distance traveled and the time it takes to travel that distance? A

k0ka [10]

Positive because they would both be increasing

5 0

3 years ago

Read 2 more answers

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

in march, veronica walked 12 miles every day. in april, she increased her daily walking distance by 10%, in may, she added 10% t

masya89 [10]

First, find what 110% of 12 is by multiplying 12 by 1.1 (13.2).

Second, find what 110% of 13.2 is by multiplying 13.2 by 1.1 (14.52).

The answer is 14.52 miles each day in May.

I hope that this helps you.

6 0

3 years ago

Can some one help me answer this

Andrews [41]

Yes, notice for every 10 degrees in Celsius you have 18 degrees Fahrenheit.

32 is the freezing point of water in F, and 0 is the freezing point of water in C.

So it is starting at freezing point, every time you add 10 in C you also add 18 to F.

They show the same temperature just on different scales.

7 0

3 years ago