Answer:
2145 cubic inches
Step-by-step explanation:
formula for Volume of a sphere: 4/3·π·r³
V = 4/3 ·π ·(8)³
V = 4/3π · 512
V ≈ 2145
Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 7, 3, 2, 1, 13, 8, 1, 5, 14, 11,
zysi [14]
Answer:
Mean = 7.3, median = 7, mode = 1.
Step-by-step explanation:
First arrange the data in order:
1 1 2 3 5 7 8 11 13 14 15
There are a total of 11 values.
Median = middle value = 7.
Mode = the most common number = 1.
Mean = sum / 11
= 80 / 11
= 7.3.
Answer:12
Step-by-step explanation:
k
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
Answer:
C. (1,18)
Explanation
If you don’t know how to find it, just plug in the values into the equation until they are equal to each other