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avanturin [10]
3 years ago
14

1. What number is 20% of 40?

Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0
Answer: 8

solving:
20x40
————
100
alexandr1967 [171]3 years ago
7 0

Answer:

8

Step-by-step explanation:

0.20 x 40 = 8

Therefore, 20% of 40 is 8

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Look at the number in the place-value table. The value of the 8 in the hundreds
Artyom0805 [142]

Answer:

10 times the value

Step-by-step explanation:

The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).

I figured this out by dividing 800 by 80 = 10.

8 0
3 years ago
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

8 0
3 years ago
‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ​
lana [24]
0.5 of a mile - since 5,280ft = 1 mile and half of 5,280 is 2,640
5 0
3 years ago
Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Dan paid 69 dollars to rent
vovikov84 [41]

Answer:

Step-by-step explanation:

Dan paid  69 divided by 9 = H - 15

7 0
2 years ago
18% of what number is 99
Artemon [7]
17.82 because you just take the 18% of 99 which is 0.18
4 0
3 years ago
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