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Vitek1552 [10]
3 years ago
8

A right triangle has a 35 degree angle. The opposite leg to that angle is 12m long. Find the hypotenuse

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

The hypotenuse of the triangle is 21.05 m

Explanation:

Given that a right triangle has a 35 degree angle. The opposite leg to that angle is 12 m long.

We need to determine the hypotenuse of the triangle.

<u>Hypotenuse of the triangle:</u>

The hypotenuse of the triangle can be determined using the formula,

Sin \ \theta=\frac{opp}{hyp}

Substituting \theta=35, opp= 12, we have;

Sin \ 35=\frac{12}{hyp}

Simplifying the values, we get;

hyp=\frac{12}{Sin \ 35}

Dividing, we get,

hyp=\frac{12}{0.57}

hyp=21.05 \ m

Thus, the hypotenuse of the triangle is 21.05 m

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3 years ago
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3 years ago
Read 2 more answers
Would appreciate the help
raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

 then the measure of the angle between them is half the difference

 of the measures of their intercepted arcs

* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

  the circle

∴ The measure of the angle between them = 1/2 the difference of the

  measures of their intercepted arcs

∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

∵ The measure of the large arc is 100°

∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0
3 years ago
2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the
mr_godi [17]

Answer:

$8,890.83

Step-by-step explanation:

To find the answer we have to use this equation:

A = P(1 + r)^t

A = The total amount

P = The initial amount

R = The interest rate

T = Time

Given in the question:

A = ?

P = 2,900

R = .09

T = 13

Plug it into the equation and solve:

A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83

Therefore, after 13 years there will be $8,890.83 in the account.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

7 0
3 years ago
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