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Law Incorporation [45]
2 years ago
5

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=64°, and NO = 70 feet. Find the length of MN to the nearest tenth of a foot.

Mathematics
1 answer:
olga_2 [115]2 years ago
6 0

Answer:

in triangle MNO

relationship between perpendicular and hypotenuse is given by sin angle

sin64°=p/h=70/x

x=70/sin64°=77.88foot

length of MN to the nearest tenth of a foot.

=78ft

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Answer:

$166.66

Step-by-step explanation:

45.99 + 32.98 + 74.99 =153.96

153.96(1.0825)= 166.66

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3 years ago
What expression is equivalent to -0.2 - 4.9?
nasty-shy [4]

Answer:

A

Step-by-step explanation:

Adding a negative is the same as subtracting a positive

Keep Change Change

ex. -9.2 - 6.7 = -9.2 + -6.7

    Keep    Change     Change

   -9.2           +              -6.7

6 0
3 years ago
Use the given numbers above the table in multiplying integers and to fill in the blanks inside the box.​
Jet001 [13]

Answer:

Step-by-step explanation:

1 × 5 = 5

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I hope I've helped you.

8 0
3 years ago
Read 2 more answers
What is the quotient
mario62 [17]

Answer:

The quotient is 3x - 11 + 60/(x + 5) ⇒ 2nd answer

Step-by-step explanation:

* We will use the long division to solve the problem

- The dividend is 3x² + 4x + 5

- The divisor is x + 5

- The quotient is the answer of the division

- If the divisor not a factor of a dividend, the quotient has

  a remainder

* Lets solve the problem

- At first divide the first term in the dividend by the first term in

 the divisor

∵ 3x² ÷ x = 3x

- Multiply the divisor by 3x

∴ 3x (x + 5) = 3x² + 15x

-Subtract this expression from the dividend

∴ 3x² + 4x + 5 - (3x² + 15x) = 3x² + 4x + 5 - 3x² - 15x = -11x + 5

- Divide the first term -11x in the new dividend by the first

 term x in the divisor

∴ -11x ÷ x = -11

- Multiply the divisor by -11

∴ -11(x + 5) = -11x - 55

-Subtract this expression from the new dividend

∴ -11x + 5 - (-11x - 55) = -11x + 5 + 11x + 55 = 60

∴ The quotient is 3x - 11 with remainder = 60

* The quotient is 3x - 11 + 60/(x + 5)

5 0
3 years ago
Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we
lord [1]

Answer:

b. 8,800,000.

Step-by-step explanation:

In maria study the number of cars on the road increases by 10% each year.

Total number of cars in the first year =80 million cars.

We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.

For year 2 we have;

10% of 80,000,000+80,000,000

\frac{10}{100}*80,000,000+80,000,000

8,000,000 + 80,000,000

88,000,000

number of cars in year 2 = 88 million

We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.

\frac{10}{100}*88,000,000+88,000,000

8,800,000+88,000,000

96,800,000

the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000

<em>or simply subtract the number of cars in year 2 from that in year 3;</em>

96,800,000-88,000,000 = 8,800,000

8 0
4 years ago
Read 2 more answers
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