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Burka [1]
3 years ago
8

Find m∠E to the nearest degree.

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer: The value of  m∠E = 37°

Step-by-step explanation:

Since we have given that

ED = 8

EF = 10

DF = 6

We need to find the measure of m∠E .

\sin E=\dfrac{DF}{EF}=\dfrac{opposite}{Adjacent}\\\\\sin E=\dfrac{6}{10}\\\\\sin E=\dfrac{3}{5}\\\\\sin E=0.6\\\\E=\sin^{-1}(0.6)\\\\E=36.86^\circ\\\\E=37^\circ

Hence, m∠E = 37°

Jobisdone [24]3 years ago
5 0
M<E = arcsin (opposite/hypotenuse)

m<E = arcsin (6/10)

Use the calculator:
m<E is estimated to be <span>37 degrees</span>
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Construct a right angled triangle XYZ with 90 at angle Y, YZ=7.5cm and XY =6cm​
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) f) 1 + cot²a = cosec²a​
notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

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Therefore:

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Another identity:

\displaystyle \large{\sin^2x+\cos^2x=1}

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\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}

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6 0
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Answer:

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Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

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r - Annual interest rate, measured in percentage.

t - Time, measured in years.

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C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}

C = 4594.76\,USD

4594.76 USD will be in the account on Burt's 18th birthday.

5 0
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