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Allushta [10]
4 years ago
12

A square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards along each side. The sidewalk is 0.5 ya

rd wide. What is the perimeter of the playground? Write two equivalent expressions for the perimeter of the playground.
Mathematics
1 answer:
soldi70 [24.7K]4 years ago
4 0

Answer: It  can be calculated by using the formula of perimeter and by adding four sides

1) Perimeter= 2(L+B)= 8n+12

2) Perimeter= L+L+L+L= 4L= 8n+12

Step-by-step explanation:

As it is a square playground all its sides are equal

Perimeter of the sidewalk = 2(L+B)= 2(2n+3+0.5)= 2(2n+3.5)= 4n+7

Perimeter of the square playground= <em><u>2(L+B)</u></em>= 2(2n+3+2n+3)

<em>2(4n+6)= 8n+12-------------------------A</em>

Perimeter of the square playground<u><em>= L+L+L+L=4L</em></u>  42n+3+2n+3+2n+3+2n+3=<u><em>4(2n+3)= 8n+12------------------------B</em></u>

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3 Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with numb
andrey2020 [161]

Answer: P(draw a 10) = 1/10

-----

P(draw a 10 ten times with replacement) = (1/10)^10 = 1/10000000000

Step-by-step explanation:

8 0
4 years ago
A soup can has a height of 4 inches and a radius of 2.5 inches. What's the volume of soup in cubic inches that would fill one so
Alenkasestr [34]

Answer:

C. 78.5 in^3

Step-by-step explanation:

A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:

v=\pi r^2h

We know that the height is 4 inches and the radius is 2.5 inches.

r= 2.5 in

h= 4 in

v=\pi (2.5in)^2*4in

Evaluate the exponent.

(2.5 in)^2=2.5 in*2.5in=6.25 in^2

v=\pi *6.25 in^2*4 in

Multiply 6.25 in^2 and 4 in.

6.25 in^2*4 in=25 in^3

v=\pi*25 in^3

Multiply pi and 25 in^3.

v=78.5398163 in^3

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.

v=78.5 in^3

78.5 cubic inches can fill one soup can.

7 0
4 years ago
Maria earned $126 in simple interest from her savings account. If she invested $450 for 7 years what was the interest rate?
RSB [31]
The answer is B. You didn't mention compounding, so I have to assume that this is simple interest. The formula for simple interest is 
<span>Interest = principal * interest rate expressed as a decimal * time in years. </span>
<span>$126 = $450 * X * 7. Now multiply $450 * 7 years = $3,150 </span>
<span>$126 = 3,150X </span>

<span>What has been done to the X? It was multiplied by $3,150. What is the opposite of multiplication? It is division. Remember that whatever we do to one side of the equal sign we must also do to the other side of the equal sign. </span>

<span>$126 = $3,150X </span>
<span>-------____---------- </span>
<span>$3,150__$3,150 </span>

<span>Any number over itself = 1. Now we have </span>
<span>.04 = X </span>

<span>To change a decimal to a percent move the decimal place two places to the right and add a percent sign. </span>
<span>.04 = 4$. The answer is B</span>
5 0
4 years ago
What is tan 11(3.14)/6
ycow [4]

Answer:

A) -sqrt(3)/3

Step-by-step explanation:

If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).

Tangent is sine/cosine:

(-1/2)/(sqrt(3)/2)

We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:

(-1/2)*(2/sqrt(3))

Multiplied out to:

-2/(2sqrt(3))

We have to rationalize this by multiplying the numerator and denominator by sqrt(3):

-2(sqrt(3))/2sqrt(3)(sqrt(3)

two of the same square roots multiplied together equals the number without the sqrt:

-2(sqrt(3))/2*3

we can factor out 2 from the numerator and denominator:

-sqrt(3)/3

Therefore, the answer is A

4 0
3 years ago
SOMEONE PLEASE HELP ME.
dimaraw [331]
Probability is like 50% or 1/2 like If you flip a coin the probability is 1/2,
3 0
3 years ago
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