We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine:
sin 35° = (Opposite leg to 35°) / hypotenuse
sin 35° = h/(75 ft)
Solving for h:
(75 ft) sin 35°=h
h=75 sin 35° ft
h=75 (0.573576436) ft
h=43.01823270 ft
h=43 ft
Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>
hi!
1) rewrite as a fraction
(2^4/2^2)^3
2) reduce the expression by cancelling out the common factors
so factor out 2^2 out of 2^4
3) multiply by 1 so,
(2^2 * 2^2/ 2^2 * 1)^3
4) continue to cancel out common factors the rewrite the expression to be
(2^2/1)^3
5) then divide 2^2 by 1 so, it will be (2^2)^3
6) lastly simplify the expression so apply the power rule and multiply so it will be 2^2*3
then it will be 2^6
and raise 2 to the power of 6 and you answer is 64
Answer:
C. 120º
Step-by-step explanation:
so we know that the inside of a triangle is 180º and since all the measures are the same we can do 180/3 to find how much each angle is.
180/3 = 60º
now we also know that a straight line is equal to 180º and since we already have one angle, all we have to do is subtract 60 from 180.
180 - 60 = 120º
Answer:
Q3 = 30
Step-by-step explanation:
minimum value = 5
Q1 = 20 (this is the median of the lower half of data)
Median (sometimes called Q2) = 25
Q3 = 30 (this is the median of the upper half of data)
maximum value = 45
Answer:
ty can buy 7 journals
Step-by-step explanation: