The quotient is 18.5, so that means it is between 17 and 20
Answer:
7.5 is the difference
Step-by-step explanation:
basketball mean
(13+22+23+24+36+37+42+43+58+69) ÷10 = 36.7
tennis mean
(14+23+24+38+47+48+57+58+66+67) ÷10 = 44.2
tennis mean - basketball mean
44.2 - 36.7= 7.5
Volume of 1st aquarium = 11 * 13 * 14 = 2002
volume of 2nd aquarium = 21 * 14 * 30 = 8820
if 5 minutes = 2002
1 minute = 2002\5 = 400.4
minutes to fill the 2nd aquarium is 8820/400.4 = 22.028(approximately)
The height of the kite above the ground is 58.68 ft
Let x be the height of the kite above Chee's hand.
The height of the kite above Chee's hand, the string and the horizontal distance between Chee and the kite form a right angled triangle with hypotenuse side, the length of the string and opposite side the height of the kite above Chee's hand.
Since we have the angle of elevation from her hand to the kite is 29°, and the length of the string is 100 ft.
From trigonometric ratios, we have
tan29° = x/100
So, x = 100tan29°
x = 100 × 0.5543
x = 55.43 ft.
Since Chee's hand is y = 3.25 ft above the ground, the height of the kite above the ground, L = x + y
= 55.43 ft + 3.25 ft
= 58.68 ft to the nearest hundredth of a foot
So, the height of the kite above the ground is 58.68 ft
Learn more about height of kite above the ground here:
brainly.com/question/14350740
Answer:
θ ≈ 71.6°
Step-by-step explanation:
The angle between two lines with slopes m₁ and m₂ is:
tan θ = | (m₂ − m₁) / (1 + m₁m₂) |
Here, m₁ = -2 and m₂ = 1.
tan θ = | (1 − (-2)) / (1 + (-2)(1)) |
tan θ = | 3 / -1 |
tan θ = 3
θ ≈ 71.6°
