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tamaranim1 [39]
3 years ago
8

I need help with this question about similar triangles

Mathematics
1 answer:
Colt1911 [192]3 years ago
6 0

Answer:

ST = 12 units

Step-by-step explanation:

Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus

\frac{ST}{SR} = \frac{TE}{AR} substitute values

\frac{ST}{21-ST} = \frac{8}{6} ( cross- multiply )

6ST = 8(21 - ST)

6ST = 168 - 8ST ( add 8ST to both sides )

14ST = 168 ( divide both sides by 14 )

ST = 12

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2%

Step-by-step explanation:

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What percent of $20,574.50 equals $1,180.47
igor_vitrenko [27]
5.737539186% rounded to the nearest tenth its 5.7%
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3 years ago
3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
antoniya [11.8K]

Answer:

The correct option is the first graph (Yes)

Step-by-step explanation:

The given function is W(d) = 930/d

Where;

W(d) = The number of days it would take to get to Washington

d = The distance travelled each day in miles

We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time

Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;

W(d) = 930/d

W(d) ∝ Part of 930 miles completed × Constant

∴ W(d) which is the time is directly proportional to the distance

The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph

7 0
3 years ago
It takes Sam 3 hours to rake the front lawn while his brother, Dave, can rake the lawn in 5 hours. How long will it take them to
OleMash [197]

Answer:

3 hours + 5hours = 8 hours ÷ 2 =

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Step-by-step explanation:

If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people

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3 years ago
Use the diagram to find the height of statue.round to the nearest tenth
jeyben [28]

Answer:

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Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

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Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

tan(52) = \frac{h}{5.7}

Multiply both sides by 5.7

tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7

tan(52) \times 5.7 = h

h = 7.3 ft (nearest tenth)

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2 years ago
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