Answer:
x = 25.6
Step-by-step explanation:
As we can see, this is a right triangle, so there are known relationships
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 43
a: adjacent = x
o: opposite
h: hypotenuse = 35
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, adjacent, hypotenuse)
cos α = a/h
cos 43° = x / 35
cos 43° * 35 = x
25.59 = x
if we want to round to the nearest tenth
x = 25.59 = 25.6
Corrected Question:
The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?
Answer:
t² + 3t - 88
Step-by-step explanation:
Given:
Rectangle of;
length = (t - 8) units
width = (t + 11) units
The area A of a rectangle is given by;
A = length x width ----------------------------------(i)
Substitute the given length and width into equation (i) as follows;
A = (t - 8) x (t + 11) [expand the brackets]
A = t² -8t + 11t - 88
A = t² + 3t - 88
Therefore, the area is
(t² + 3t - 88) square units
D I believe hope this helped
