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Pachacha [2.7K]
2 years ago
15

Solve for a side in right triangles

Mathematics
2 answers:
Ket [755]2 years ago
3 0

Answer:

2.33

Step-by-step explanation:

imagine a circle. its center is A, and it goes through B, so its radius is AB.

then it is important to know that the sum of all the angles in a triangle is 180 degrees.

one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.

more back to our circle.

in this circle the line CB is the sine of the angle at A multiplied by the radius.

and AC is the cosine of the angle at A multiplied by the radius.

we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).

=> CB = sin(A)×AB

AC = cos(A)×AB

=> 5 = sin(65)×AB

=> AB = 5 / sin(65)

=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =

= 5 × cot(65) = 2.33

Semmy [17]2 years ago
3 0
Since you need to find the side length AC, you already have a 25° angle plus the right angle which indicates it 90°. With that you add them up to get 115°. Since the total of the triangle is 180° you subtract that to get 65°. to check the answer you add the degrees all together to make sure you have a total of 180°. Let me know if you need more clarification

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ULLIVLY/1/2/3/assessment
zvonat [6]
<h3>The worth after 4 years is $ 680.24</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

n = 1 ( since interest is compounded annually)

p = 500

t = 4

r = 8 \% = \frac{8}{100} = 0.08

<em><u>Substituting the values we get,</u></em>

A = 500(1+ \frac{0.08}{1})^{1 \times 4}\\\\A = 500(1.08)^4\\\\A = 500 \times 1.36048896\\\\A = 680.24448 \approx 680.24

Thus the worth after 4 years is $ 680.24

3 0
3 years ago
Please help solve for x
Ludmilka [50]

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

7 0
3 years ago
I need help with this math question 7+(3•5)
Ainat [17]

Answer:

The answer is 22

Step-by-step explanation:

(3 • 5) = 15

7 + 15 = 22

22 is your answer

5 0
3 years ago
What is the linear function equation that best fits the data set?
Kitty [74]

Answer:

A

Step-by-step explanation:

An educated guess because I really forgot how to do these

5 0
3 years ago
PLZ HELP ITS ALL MY POINTS
matrenka [14]

Answer:

30 cm

Step-by-step explanation:

Sorry if im wrong

6 0
3 years ago
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