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just olya [345]
3 years ago
7

Find the area, to the nearest hundredth, of the figure

Mathematics
1 answer:
ehidna [41]3 years ago
5 0

Answer:

Step-by-step explanation:

hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi

area of triangle = 0.5×6×14.4 = 43.2 mi²

radius of semicircle = 15.6/2 = 7.8

area of semicircle = πr² = 60.84π mi²

total area = 43.2 + 60.84π ≅ 234.33 mi²

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Rebecca deposited money into his retirement account that is compounded annually at an interest rate of 7%. Rebecca thought the e
frutty [35]

Answer:

Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.

Explanation:

The formula for compound interest is i = r/n.

r represents the interest rate in decimal form.

n represents the compounding periods in a year.

Calculate the interest rate for 7% compounded quarterly:

Since interest compounded quarterly is four times a year, n = 4.

7% is converted to decimal form by dividing by 100.

7 / 100 = 0.07

r = 0.07

Substitute these into the formula:

i = r/n

= 0.07/4

= 0.0175

0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.

0.0175 X 100 = 1.75%

1.75% ≠ 2%

Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.

5 0
3 years ago
the lengths of the sides of a triangle are in the ratio 5:6:7. describe the length of the longest side if the perimeter is less
torisob [31]

Answer:

length of the longest side is  less than 21

Step-by-step explanation:

5n+6n+7n=18n

18n<54

n<54/18

n<3

7*3=21( longest side. )

5 0
3 years ago
Read 2 more answers
Helppp? if possible
Mice21 [21]

Answer:

x=9

Step-by-step explanation:

8x-14=2(2x+11)

8x-14=4x+22

4x=36

x=9

3 0
3 years ago
Read 2 more answers
Albert Einstein primarily immigrated to the United States because he
Mazyrski [523]

Answer: <em>Einstein primarily emigrated to the United States because he had a Jewish background, and Adolf Hitler, who became Germany's chancellor in 1932, was about to adopt Anti-Semitic policie</em>s.

<em>Hope this helps!!</em>

<em>Sorry if it's incorrect!!</em>

<em>Have a nice day!!</em>

7 0
3 years ago
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A farmer plants twice as many acres of wheat as corn on his land. If he plants no more than 36 acres, what is the greatest numbe
Leona [35]

Answer: 12 acres could be planted (at most)

Step-by-step explanation: Since there will be twice as many acres of wheat in  comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.

6 0
3 years ago
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