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docker41 [41]
3 years ago
8

you and a friend go out to dinner. The cost of the meal is $45.22. The sales tax is 5% and deliver 16% tip. what is the total co

st of the meal
Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer: $57.72

Step-by-step explanation:

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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
Find an equation of a line with slope -3/4 and that passes through P(-4,6) in standard, form.
SashulF [63]

Answer:

y = -   \frac{3}{4}x  + 3

Step-by-step explanation:

the standard form of any straight line is:

y = m × x + c

where: y is the y value of the point

x is the x value of the point

m is the gradient/slope

SOLUTION

y = mx + c \\ 6 =  -  \frac{3}{4} ( - 4) + c \\ c = 3

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2 years ago
What is the area of this figure
vodomira [7]

area = 4 \times 4  +  \frac{4 \times 6}{2}   \\ = 16 + 12 = 28 \:  {yd}^{2}

5 0
3 years ago
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A factory puts 2,000 picture frames in each shipment. How many picture frames will the
malfutka [58]
4,000

I know this because 2,000 • 2 = 4,000
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3 years ago
A quadrilateral has congruent diagonals. It is probably a( n) ______.
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<span>A quadrilateral has congruent diagonals. It is probably a <u>Square</u></span>
7 0
3 years ago
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