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iren2701 [21]
2 years ago
8

Henry signed up for a streaming music service that costs $14 per month. The service allows Henry to listen to unlimited music, b

ut if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Henry have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded s songs?
Cost for 50 songs :
Cost for s songs :
Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

Cost for 50 songs: $64

Cost for s songs: s + 14

Step-by-step explanation:

Since it is $1 per song, if he downloaded 50 songs, it would be $50 extra dollars.

Add this to the monthly charge of 14:

50 + 14

= 64

So, the cost of 50 songs would be $64.

Now, find the cost for downloading s songs.

Each song is $1, so the cost can be represented by s + 14.

The answer is:

Cost for 50 songs: $64

Cost for s songs: s + 14

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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
Angle M has a measure between 0° and 360° and is coterminal with a –620° angle. What is the measure of angle M?
OleMash [197]

Answer:

100 or A

Step-by-step explanation:

i hope this is what you were looking for ;)

7 0
2 years ago
A model length of 12 cm. represents an actual length of 102 ft.the model has a width of 48cm. What is the width of the actual ob
Elodia [21]

the answer would be 408


just set it up like this

12       48

----  =  ----

102      ?


12*4=48 so 102*4 = 408

8 0
3 years ago
The simplified expression
Romashka-Z-Leto [24]

Answer:

5x^2 y^2

Step-by-step explanation:

We need to use the properties shown below to solve this:

1. \sqrt[n]{x^a} =x^{\frac{a}{n}}

2. \sqrt{x}\sqrt{x}  =x

3.  \sqrt{x} \sqrt{y}=\sqrt{x*y}

Area of a triangle is given by  1/2 * base * height, so we do that and simplify:

A=\frac{1}{2}(\sqrt{5x^3} )(2\sqrt{5xy^4} )\\A=\frac{1}{2}(5x^3)^{\frac{1}{2}}*2*(5xy^4)^{\frac{1}{2}}\\A=\sqrt{5}x^{\frac{3}{2}}*\sqrt{5}\sqrt{x} }  y^2\\A=\sqrt{5} \sqrt{5}x^{\frac{3}{2}} x^{\frac{1}{2}}y^2\\A=5*x^2y^2\\A=5x^2 y^2

6 0
3 years ago
write the slope intercept form of the equation of each line given the slope and y intercept. // slope= 1/3 y-intercept= 4 // slo
professor190 [17]

Answer:

Slope: 1/3; Y-iintercept: 4     y=1/3x+4

Slope: -2;  Y-intercept: 4      y=-2x

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

6 0
3 years ago
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