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Nataly [62]
2 years ago
14

What is the LCM of 20 and 40? 5 10 20 40

Mathematics
1 answer:
zepelin [54]2 years ago
4 0

Answer:

i think this is the answer

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A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to
11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2

The dog's running area is approximately 942 feet².

3 0
3 years ago
The index number representing the price level changes from 109 to 113 in one year. The inflation rate during the year is _____ p
Dima020 [189]

First, get the difference between the price level changes.

113-109=4

Then, divide it by the initial price level, which is 109.

\frac{4}{109}=0.0367

Multiply by 100 to get its percent.

0.0367\times100=3.67

Thefore, the inflation rate during the year is 3.67 percent.

8 0
1 year ago
- x - x + 11 - 2x = 83<br>please show step by step!!​
m_a_m_a [10]

Answer:

x=-18

Step-by-step explanation:

<u>Given</u>

<u />-x-x+11-2x=83

<u>Step 1: Combine Like Terms on LHS</u>

<u />-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83

<u>Step 2: Subtract 11 on both sides</u>

<u />-4x+11=83\\-4x+11-11=83-11\\-4x=72

<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>

<u />-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18

<u>Final Answer</u>

<u />x=-18

7 0
2 years ago
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6x+ 6x=<br> I need the answer pleasee
kipiarov [429]

Answer:

The answer is 12x because 6x and 6x are like terms (same variable)

5 0
3 years ago
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A members-only speaker series allows people to join for $23 and then pay $1 for every
givi [52]
So it’s 23 followers to join and they charge them $1 an event which is 44 dollars and event
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