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irakobra [83]
3 years ago
8

To win a bowling trophy you need a three-game total score of at least five hundred on the first two games your scores are 183 an

d 165 what score do you need on Game 3
Mathematics
1 answer:
pickupchik [31]3 years ago
7 0
We can write an equation for this problem being, 500-(183+165)=152. So the answer is that your next must have a score of at least 152 or higher in order to win a bowling trophy.
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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

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Answer:

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Decimal form:

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Egyptian fraction expansion:

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Answer:

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Answer:

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Please check the attached figure to visual the concept.

Step-by-step explanation:

In Mathematics Geometry,<em> lateral face</em> is said be the side of a 3D-figure in that is not a base.

The faces in in a prism or pyramid which are not bases are basically the lateral faces.

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Please check the attached figure to visual the concept.

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The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

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