Answer:
Step-by-step explanation:
Given
See attachment for cumulative frequency histogram
Solving (a): Swimmers between 200yd and 249yd
To do this, we simply read the data from the 0 mark
From the histogram, we have:
and
So:
This gives:
Solving (b): Swimmers between 150yd and 199yd
To do this, we simply read the data from the 0 mark
From the histogram, we have:
and
So:
This gives:
Solving (c): Total swimmers
To do this, we simply read the longest bar of the histogram
Hence:
1) Could
2) Could, <span>but don't have to be</span>
Using the identity :
Cos (2a) = 1-2 Sin^2(a)
Therefore :<span>1−2 sin ^2 (22.5∘) = Cos(2a)
= Cos (2 * 22.5) = Cos 45</span>
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>
Answer:
tan G = 1.6071
Step-by-step explanation:
tan G = 45/28
tan G = 1.6071
