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ElenaW [278]
3 years ago
10

Triangle RST is diated to form triangle R'S'T with the scale factor of 3.5. If RT=8 what is the length of R'T

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

R'T = 28

Step-by-step explanation:

Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.

In the given question, the length of RT was increased by the scale factor, so that;

R'T = RT x scale factor

      = 8 x 3.5

      = 28

R'T = 28

Therefore, the length of R'T is equal to 28.

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hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
neonofarm [45]

Answer:

8 / sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

8/3 sqrt(3) = BC

7 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below
Zepler [3.9K]
I believe it is C hope this helps
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3 years ago
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PLEASE HELP ASAP!!! I don’t know how to do this problem or where to start! How do I solve this?
Leto [7]

Answer:

W = 4.95

Step-by-step explanation:

You want to start by writing down what you know, and forming a system of equations.

L= length W= width

2L+2W=14.7    

L= 2.4

On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)

You would then substitute L from the bottom equation into the top equation to get:

2(2.4) +2W=14.7

Solving:

4.8+2w=14.7

W= 4.95

To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.

7 0
3 years ago
Find angle A using sin-1
ki77a [65]

Answer:

75°

Step-by-step explanation:

firstly, use the pythagoras theorem

Square root(8²-2²) = 7.75

Then, use sine

sine A= 7.75/8

Sine A=0.9688

A= (sine power of -1) x (0.9688)

A=75.63

5 0
3 years ago
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
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