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azamat
3 years ago
5

Find the measure of the indicated angle to the nearest degree.

Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Given:

A right triangle with legs 5 units and 6 units.

To find:

The measure of angle opposite of side whose length is 5 units.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

Let \theta be the missing angle. Then, for the given triangle,

\tan \theta=\dfrac{5}{6}

\theta=\tan^{-1}\dfrac{5}{6}

\theta=39.805571^\circ

Round the value to the nearest degree.

\theta\approx 40^\circ

Therefore, the measure of the required angle is 40 degrees.

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16/21 divided by 4/9
leonid [27]
16/21 divided by 4/9 is equivalent to 16/21 x 9/4 = 144/84 which reduces to 12/7. So 12/7 is your answer.
7 0
3 years ago
Read 2 more answers
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
Solve: 3 + √x+2 = 11<br><br> 62<br> 64<br> ()
klemol [59]

Answer: its 62

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

3 0
3 years ago
Roger can make 3 bird houses in 5 hours. Which proportion could be used to determine how many bird houses Roger could build in 2
Nadya [2.5K]

Answer:

the answer should be 12

Step-by-step explanation:

6 0
3 years ago
Lol we need the answer (-:
PolarNik [594]

Answer:184ft²

Step-by-step explanation:2(5×10)+2(4×6/2)+(6×10)

100+24+60=184

PLEASE MARK ME AS BRAINLIEST!!!

6 0
2 years ago
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