Answer:
$1800
Step-by-step explanation:
Interest in one month =3% =0.03
0.03x5000= $150 a month
150x12=$1800
Multiply (h+3t= -10) to get 2h+6t=-20.
(<span>2h+6t=-20</span>) - (2h+t=-8) to get 5t=-28
therefore t=-5.6
put t into any equation. i.e (2h-t=-8) = 2h+5.6=-8
therefore 2h = -13.6
h=-6.8
Answer:
x = 83°
Step-by-step explanation:
ZW is a straight angle which means it is equal to 180°
So 97° + x° = 180°
180° - 97° = 83°
Answer:
Solo Act lasted for 6 mins and ensemble acts lasted for 15 mins.
Step-by-step explanation:
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:


x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:




Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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