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tangare [24]
3 years ago
12

Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of si

de EF? Round your answer to the nearest hundredth.
Mathematics
2 answers:
ki77a [65]3 years ago
3 0

\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}

\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}

\\ \rm\longmapsto EF=\dfrac{7.6}{1.1}

\\ \rm\longmapsto EF=6.909units

\\ \rm\longmapstoEF=6.91units

DanielleElmas [232]3 years ago
3 0

Answer:

\displaystyle 6,38\:units

Step-by-step explanation:

You would set your proportion up as so:

\displaystyle \frac{7,6}{EF} = cot\:40° → 7,6 = EFcot\:40° → \frac{7,6}{cot\:40°} → 6,3771571969... = EF \\ \\ 6,38 ≈ EF

I am delighted to assist you at any time.

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Identify the expression as a numerical expressionor a variable expression. For a variable expression, name the variable.
Karolina [17]

Answer:

Numerical expression

Step-by-step explanation:

This is a numerical expression since there is no unknown value. Both values being multiplied are numbers.

8 0
3 years ago
Assume that trees are subjected to different levels of carbon dioxide atmosphere with 7% of the trees in a minimal growth condit
taurus [48]

Answer: The mean and standard deviation are 567.2 and 89.88 resp.

Step-by-step explanation:

Since we have given that

For 370 parts per million = 7% = 0.07

For 440 parts per million = 10% = 0.10

For 550 parts per million = 49% = 0.49

For 670 parts per million = 34% = 0.34

So, Mean of the carbon dioxide atmosphere for these trees would be

E[x]=370\times 0.07+440\times 0.1+550\times 0.49+670\times 0.34=567.2

And

E[x^2]=370^2\times 0.07+440^2\times 0.1+550^2\times 0.49+670^2\times 0.34=329794

So, Variance would be

Var\ x=E[x^2]-E[x]^2=329794-567.2^2=8078.16

So, the standard deviation would be

\sigma=\sqrt{8078.16}=89.88

Hence, the mean and standard deviation are 567.2 and 89.88 resp.

3 0
4 years ago
Adele ya tiene 2 pegatinas y obtendrá 21 pegatinas adicionales de cada paquete de pegatinas que compre. ¿Cuántos paquetes de peg
Zolol [24]

Answer:

Step-by-step explanation:

Tienen 15 hojas de pegatinas en total.

3 0
3 years ago
Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

8 0
3 years ago
Which of the following points are solutions to the inequality below?
Yakvenalex [24]
So, in order to find out which ordered pairs are the solutions to the given inequality above, we just have to plug in the given values.
Lets take option A.
2 > -3(0) + 2
2 > 0 + 2
2 > 2 ---- 2 is not greater than 2, which makes this ordered pair not a solution to the given inequality.
So, do the same with the rest of the ordered pairs.
So the ordered pairs that are the solutions would only be options C, E and F. Hope that answer helps. 
5 0
3 years ago
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