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Vlad [161]
3 years ago
15

Use ΔDEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures 55. EF meas

ures x. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth?

Mathematics
2 answers:
pochemuha3 years ago
5 0
63. 27. Tan 49/1= X/55
fredd [130]3 years ago
3 0

Answer:

x=63.27units

Step-by-step explanation:

It is given that ΔDEF is a right angled triangle which is right angled at E, also the measure of DE is 55 and EF is x with an ∠D=49°.

Using the trigonometry, we have

tan49^{{\circ}}=\frac{EF}{DE}

⇒(1.15)=\frac{x}{55}

⇒x=63.27units

Thus, the value of EF= 63.27 units.

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The original retail of a leather chair is listed at $121.40 and is discounted by 60% in a summer sale. What is the discount and
olga2289 [7]

Answer:48.56

Step-by-step explanation: 121.40-60%=

5 0
3 years ago
Triangles RST and MNP are congruent. Name the congruent sides and the congruent angles.
d1i1m1o1n [39]

Answer:

angles:r=m

s=m

t=p

sides:rs=mn

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3 0
3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
3 years ago
Use or = to compare the following decimals.
Lynna [10]
The correct answer is B 9.74_98.1
5 0
2 years ago
What is the slope of the line
wlad13 [49]
(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope
5 0
2 years ago
Read 2 more answers
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