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uysha [10]
2 years ago
5

In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)? (Images may not be drawn to scale.)

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x. A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x. A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x. A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.

Mathematics
2 answers:
Alborosie2 years ago
5 0

Answer:

It is the last one, D

Step-by-step explanation:

FromTheMoon [43]2 years ago
3 0

Answer:

The angle opposite to side with length 3.1 is x

The triangle in the attached figure

Step-by-step explanation:

we know that

In a right triangle the tangent of an angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

In this problem we have

x=tan^{-1}(\frac{3.1}{5.2})

therefore

opposite side to angle x is 3.1 units

adjacent side to angle x is 5.2 units

The angle opposite to side with length 3.1 is x

see the attached figure to better understand the problem

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In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).
ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

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It can be helpful to draw and label a figure.

5 0
1 year ago
Calculate δe, if q= 0.764 kj and w= -830 j . express your answer using two significant figures.
Deffense [45]
Given:
Q = 0.0764 kJ = 764 J, heat input
W = -830 J, useful work done

From the 1st Law of Thermodynamics, the change in internal energy is
δE = Q - W
     = 764  - (-830)
     =  1594 J = 1.594 kJ

Answer: 1.59 kJ (two sig. fig.)
8 0
2 years ago
The service time distribution describes the probability P that the service time of the customer will be no more than T hours. If
Molodets [167]

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

p=1-e^{-mt}

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

m=6

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

t=0.5

Substitute the values above into the formula.

Then, you obtain:

p=1-e^{-(6)(0.5)}=0.95 or 95%

7 0
1 year ago
How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
wel

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

\frac{1}{3.7854} =\frac{28}{x}

By cross multiply we get;

x = 28 \times 3.7854 = 105.9912 liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

4 0
2 years ago
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Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar
ella [17]

Cost of chicken wings at Buffalo Bills = 8 wings for $7

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Cost of 1 wing at Wingers = \frac{17}{20}= 0.850

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8 0
2 years ago
Read 2 more answers
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