Find the common difference in the arithmetic sequence, an, in which a3=11 and a12=74.

The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be s .

Hence, the original side's length 5 inches 

8 0

2 years ago

Audra was drawing a perpendicular bisector of segment ab with a compass . She started with a line segment AB . Then she placed h

aalyn [17]

Given that Audra was drawing a perpendicular bisector of segment AB with a compass. She started with line segment AB. Then, she placed her compass point on A and opened the compass more halfway to B.

Her next step will be "Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B".

8 0

3 years ago

An experiment involves 30 participants. From these, a group of 4 participants is to be tested under a special condition. How man

zheka24 [161]

Answer:

7

Step-by-step explanation:

7*4=28 which is the closest u can get to 30 with out going past it

6 0

3 years ago

A spherical ball has a diameter of 12 inches. The ball has a slow leak in which air escapes at the rate of 4.5 cubic inches per

stellarik [79]

Answer:

Step-by-step explanation:

It would be 54 because 12*4.5 = 54.

6 0

4 years ago

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck

sertanlavr [38]

Truck speed be x
car travel at x+19
they travel in opposite directions
so the separation is (x+x+19) * no. of hours
1048 = (2x+19)*8
x = ((1048/8) - 19)/2
=56

truck speed is 56 miles per hour
car speed is 56+19 = 75 miles per hour

6 0

3 years ago

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Find the common difference in the arithmetic sequence, an, in which a3=11 and a12=74.​

Find the common difference in the arithmetic sequence, an, in which a3=11 and a12=74.