Answer:
Solution set {x|x<8}
Step-by-step explanation:
0.35x - 4.8<5.2- 0.9x
0.35x+0.9x<5.2+4.8
1.25x<10
x<10/1.25
x<8
Solution set {x|x<8}
Answer:
The tax rate is 4.3%
Step-by-step explanation:
First, we have to assume $2.79 is 100%. We know that x% equals 0.12 of the output value. Now we have two simple equations: 100%=2.79 and x%=0.12.
Then, 100%/x%=2.27/0.12 and that gives us 4.3%!
Hope this helps.
Hey there! I'm happy to help!
The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.
5²+12²=c²
25+144=c²
c²=169
We square root both sides
c=13
Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.
Therefore, the secant is B) 13/5.
I hope that this helps! Have a wonderful day!
Answer:
5956 ft
Step-by-step explanation:
If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.
The definition of the tangent function tells us ...
tan(A) = BT/AB
Solving for AB, we find ...
AB = BT/tan(A) = (1452 ft)/tan(13.7°)
AB ≈ 5956 ft
The skyscrapers are about 5956 feet apart.
