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mixer [17]
3 years ago
5

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=22°, and CD = 80 feet. Find the length of EC to the nearest tenth of a foot.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

30

Step-by-step explanation:

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URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

\csc x(\csc x-2)+1(\csc x-2)=0

(\csc x+1)(\csc x-2)=0

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
3 years ago
Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $95 in addition to $12.95 per hour.
Ludmilka [50]

Answer:

The answer is 3.6

Step-by-step explanation:

Step one:

Singer A is offering his services for an initial $95 in addition to $12.95 per hour

let the number of hours be x and the total charge be y

the expression for the total for singer A is

y=12.95x+95----------2

Singer B is offering her services for an initial $99 in addition to $11.85 per hour

let the number of hours be x and the total charge be y

the expression for the total for singer A is

y=11.85x+99----------2

Step two:

Equating 1 and 2 we have

12.95x+95=11.85x+99

collect liker terms

12.95x-11.85x=99-95

1.1x=4

divide both sides by 1.1

x= 4/1.1

x=3.63

to the nearest tenth it is 3.6

6 0
3 years ago
How do you round 26.2 to the nearest tenth of a kilometer?
Fittoniya [83]
The answer would be 26 because .1-4 rounds down, 5-9 rounds up
6 0
3 years ago
A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with
Marta_Voda [28]

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

<h3>How to illustrate the research?</h3>

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

Learn more about research on:

brainly.com/question/968894

#SPJ1

4 0
2 years ago
How do I solve this
maria [59]
I hope this helps you if not tell me what I can help with

7 0
3 years ago
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