Answer:

Step-by-step explanation:
Here a right angled triangle is given to us and we need to find out the value of x . The measure of one of the sides is 24 and one of the acute angle is 53° .
- Here 24 is hypotenuse of the triangle and x is the perpendicular .
So here we may use the ratio of sine as ,

<u>•</u><u> </u><u>On</u><u> </u><u>substitut</u><u>i</u><u>n</u><u>g</u><u> </u><u>the</u><u> </u><u>respective</u><u> </u><u>values</u><u> </u><u>,</u>

Substitute the value of sin 53° = 4/5 ,

Cross multiply ,

Simplify,


There is not a real way to justify this, but I saw first that 400-80 equals 320 which is double 160. This made me think that the period of time during this was 2 hours. The car drove 80 miles in two hours and the plane flew 400 miles in 2 hours. The period for one hour would be 40 mph for the car and 200 mph for the plane. 200-40=160. I have no idea how to prove it though and I’m hoping you can go backwards.
To find the answer, simply substitute each choice into the equation.
6-3>4
3>4
The answer is not 6 as 3 is less than 4, not greater than it.
7-3>4
4>4
The answer is not 7 as 4 is not greater or less than 4, it is equal to 4.
8-3>4
5>4
The answer IS 8, as 5 is greater than 4.
circumference = 2*PI*r
2 * 3.14 * 9 = 56.52 yards
The transformations which have made to produce the function
y₂ = 1+csc (x-π) from the <span>parent function y = csc x
</span>1. shift up one unit ⇒ shift one unit in the direction of positive y
2. shift to the left equal to π ⇒ shift π units in the direction of positive x
See the attached figure.
Blue graph represents the parent function
Red graph represents the produced function after transformation.