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Basile [38]
1 year ago
12

Use Special Right Triangles to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
7 0

We can use the sine function and tangent function in order to solve for x and y:

\begin{gathered} sin(\theta)=\frac{opposite}{hypotenuse} \\ sin(60)=\frac{15}{x} \\ x=\frac{15}{sin(60)} \\ x=10\sqrt{3} \end{gathered}\begin{gathered} tan(\theta)=\frac{opposite}{adjacent} \\ tan(60)=\frac{15}{y} \\ y=\frac{15}{tan(60)} \\ y=5\sqrt{3} \end{gathered}

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Solve the logarthmic equation. 2 log3(x + 4) - log39 = 2
Genrish500 [490]

Answer:

5

Step-by-step explanation:

2 log₃(x + 4) − log₃9 = 2

2 log₃(x + 4) − log₃3² = 2

2 log₃(x + 4) − 2 = 2

2 log₃(x + 4) = 4

log₃(x + 4) = 2

3^(log₃(x + 4)) = 3^2

x + 4 = 9

x = 5

3 0
3 years ago
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram
olganol [36]

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
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5 0
3 years ago
Is y=7x+12 linear or nonlinear?
DiKsa [7]

Answer:

Yes, I think it is

because the equation has a horizontal line

8 0
3 years ago
Read 2 more answers
What is 212,514 +396,705 estimated
umka21 [38]

Answer:

Estimate = 600,000

Step-by-step explanation:

An estimate can be defined as a rough calculation of a numerical value, usually the upper limitation.

Given the following numerical values;

212,514

396,705

To add the two values together, we would first of all determine the estimate.

Estimate of 212,514 = 200,000

Estimate of 396,705 = 400,000

Adding the two values;

200,000 + 400,000 = 600,000.

Actual addition of the values would have given;

212,514 + 396,705 = 609,219.

Therefore, 600,000 is an estimated value of 609,219.

3 0
3 years ago
A farmer has some cows and horses. All the animals are either brown or black. The table shows how many of each
ludmilkaskok [199]

Answer:

P = 1/5 = 0.20 = (20%)

Step-by-step explanation:

there are 12 horses and 8 cows, in total there are 20 animals

of which 4 horses are brown

Then

P=\frac{4}{20} =\frac{1}{5}

Hope this helps

5 0
2 years ago
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