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bonufazy [111]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

<h2>x = 30°</h2>

Step-by-step explanation:

The angle 30° and 2x are complementary angles.

Two angles are called complementary angles, if their sum is one right angle (90°).

Therefore we have the equation:

30 + 2x = 90          <em>subtract 30 from both sides</em>

2x = 60      <em>divide both sides by 2</em>

x = 30

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Use the model to write the equivalent fraction. The colored pieces show parts of the whole.
BabaBlast [244]

What is your question?

4 0
3 years ago
Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min
suter [353]

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

3 0
3 years ago
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

This means that t = 2, A(t) = 350000

Interest rate of 8.15% per annum compounded monthly:

This means that r = 0.0815, n = 12.

Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

He must invest R297 521 today.

4 0
3 years ago
Need help vrtfv fvvfgsf
maksim [4K]

Answer:

b = 8

Step-by-step explanation:

Use the Pythagorean theorem

c^2 = a^2 + b^2  

c = 10

a = 6

b = ?

Substitute into the formula

10^2 = 6^2 + b^2      

100 = 36 + b^2            Subtract 36 from both sides

100 - 36 = b^2             Combine

64 = b^2                      Take the square root of both sides.

√64 = √b^2

b = 8

7 0
3 years ago
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the neare
Fiesta28 [93]

Answer:

6.4 meters per second

Step-by-step explanation:

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?

0.9 meters per second

1.6 meters per second

6.4 meters per second

10.4 meters per second

Speed = distance / time

Olympian's speed = 100 / 9.6 = 10.4 meters per second

Sarah's speed = 16.8 meters per second.

Difference in speed = 16.8 - 10.4 = 6.4

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

6 0
3 years ago
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