We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.
First of all, we will draw a right triangle using our given information.
We can see that US is opposite to angle T and ST is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.



Now we will use arcsin to solve for measure of angle T as:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle T is approximately 24 degrees.
Answer:
Step-by-step explanation:
1. A
2. 6/10; 1/10
5's are in 10
6/10
(1.) 35-3m
m= 4
35-3m
= 35-3(4)
= 35-12 (do the multiple/division first before doing the addition/subtraction)
= 23
C. 23
(2.) 1 + x ÷ 5
x = 80
1 + x ÷ 5
= 1+80÷5
= 1+16
= 17
(3.) mx-y
m=5, x=3, and y=8
mx-y
= 5(3)-8
= 15-8
= 7
(4.) 3a+15+bc−6
a=7, b=3, and c=15
3a+15+bc-6
= 3(7)+15+3(15)-6
= 21+15+45-6
= 75
The slope of the line that passes through (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(p,a) and (p,-a)
slope=(-a-a)/(p-p)=-2a/0=undefined
means
the slope is undefined
x=something
(x,y)
(p,a)
x=p is the equation
the equation of a perpendicular line is y=k where k is any real number
the y intercept of y=k would be y=k or the pont (0,k)