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2 years ago

3 to the second power times 3 to the 4th power

Mathematics

2 answers:

S_A_V [24]2 years ago

5 0

$\bf 3^2\cdot 3^4\implies 3^{2+4}\implies 3^6\implies 729$

Orlov [11]2 years ago

4 0

(3^2)*(3^4) = 9 * 81 = 729
Your answer is 729.

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A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants o

I am Lyosha [343]

Answer:

radius = 30 yd , cost of cement = $7065

Step-by-step explanation:

First we will find the area of the circular sectors. From that we can find the cost of cement and their radius.

The area of the playground is ...

playground area = (109 yd)^2 = 11,881 yd^2

Then the area of the skating rinks is:

rink area = playground area - remaining field

rink area = 11,881 yd^2 - 9,055 yd^2 = 2,826 yd^2

Then the cost of cement for the rink area is ...

(2826 yd^2)($2.50 yd^2) = $7065

The four quarter-circle skating rinks add to a total area of a full circle. That area is given by ...

A = πr^2

Put the values in the formula:

2826 = 3.14r^2

Divide both sides by 3.14

900 = r^2

By taking square root at both sides we get,

30 = r

The radius of each quadrant is 30 yards....

6 0

2 years ago

A sketch is drawn that is 6 inches by 9 inches. It is put in a frame of uniform width. If the area of the sketch is

m_a_m_a [10]

Answer:

30 inches squared

Step-by-step explanation:

First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.

4 0

1 year ago

What is the sum of 6 feet 10 inches and 8 feet 9 inches

slega [8]

6 ft 10 in + 8 ft 9 in = 15 ft 7 in

add the inches first and then subtract 12 from the 19 because 12 inches equals 1 foot then add 6+8+1=15 ft don't forget to include the 7 inches in your answer

4 0

2 years ago

The two triangles are similar.

Andrei [34K]

Answer:

x=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

$\frac{28}{20}=\frac{4x+2}{3x}$

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

3 0

2 years ago

Read 2 more answers

Jonathan is rolling to dice and needs to roll and 11 to win the game he is playing what is the probability that Jonathan wins th

hjlf

Answer:

1 / 18

Step-by-step explanation:

In a roll of two dice :

Number of faces on a dice = 6

Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36

Total possible outcomes = 36

Required outcome = sum of 11

11 = {(5,6) ; (6, 5)}) = 2 possibilities

Probability = required outcome / Total possible outcomes

P(obtaining a sum of 11) = 2 / 36 = 1/18

5 0

2 years ago