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Delvig [45]
3 years ago
13

Find the difference in simplest form:

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
The correct answer is D
Hope this helped
Andrew [12]3 years ago
4 0

Answer:

D. is the answer I got i think it is right but IDK

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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 <u>18.2 inches</u>

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

Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>

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

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, <em>s</em> ≈ <u>18.2 inches</u>

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

∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, <em>A</em> = 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, <em>A</em> = <u>36·π in.²</u>

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
Tommy is making a greeting card on his computer. He can choose 1 of 4 backgrounds, 1 of 7 photos, and 1 of 6 text colors. How ma
Dahasolnce [82]
Answer is D. 168

4 x 7= 28
28 x 6= 168
5 0
3 years ago
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Which of the following are even numbers ?
musickatia [10]

Answer:

an even number is a number that is divisible by 2 so there it will be 16 38 44 48 68 84 and 92

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3 years ago
Simplify the following expression:<br> 9^−53 ⋅ 9^37<br><br> Please also explain your answer. Thanks!
Alexus [3.1K]

Answer: 9^-16

Step-by-step explanation:

a^b*a^c= a^b+c

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3 years ago
System AAA \text{\quad}start text, end text System BBB
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Answer:

replace one question with itself where the same quantity is added to both sides and yes

Step-by-step explanation:

The other answer is wrong :)

4 0
3 years ago
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