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serious [3.7K]
3 years ago
12

The speed of train a is 16 mph slower than the speed of train

Mathematics
1 answer:
xenn [34]3 years ago
3 0
Let n be the speed of train b, and n-16 be the speed of train a. Then:
190/n-16=270/n
190n=270n-4320
80n=4320
n=54 mph
n-16=38 mph
☺☺☺☺
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Sharon bought a circular rug
romanna [79]

Answer:

50.24 square feet

Step-by-step explanation:

Area of a circle = πr2

= π × 4^2

= 50.26 square feet

7 0
3 years ago
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
10 • 1/10 =1 a) This is an example of the additive inverse property
saul85 [17]

Answer:

C) Multiplicative Inverse Property

Step-by-step explanation:

Because 1/10 is the inverse of 10.

For example, 15*(1/15)=1.

5 0
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The producer of the news station posted an article about the high school's football championship ceremoney on a new website. The
-Dominant- [34]
Let x be the number of hours and Let y be the number of views.

x              y
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2              250
3               375
4            500
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3 0
3 years ago
Read 2 more answers
PLEASE HELP ME I'M STUCK ON THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!
galina1969 [7]
We wish to know how much faster Grant rows than Arianna.

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d=10mph-6mph

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So Grant rows 4 miles per hour faster than Arianna.
3 0
3 years ago
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