Let α represent the acute angle between the horizontal and the straight line from the plane to the station. If the 4-mile measure is the straight-line distance from the plane to the station, then
sin(α) = 3/4
and
cos(α) = √(1 - (3/4)²) = (√7)/4
The distance from the station to the plane is increasing at a rate that is the plane's speed multiplied by the cosine of the angle α. Hence the plane–station distance is increasing at the rate of
(440 mph)×(√7)/4 ≈ 291 mph
Given:
The given number is:
To find:
The product of prime factors of given number.
Solution:
We have,
The prime factors of given number are:
<u>2 | 96</u>
<u>2 | 48</u>
<u>2 | 24</u>
<u>2 | 12</u>
<u>2 | 6</u>
<u>3 | 3</u>
| 1
So, 96 can be written as:
Therefore, the 96 as the product of prime factors is .
Answer: option A
Step-by-step explanation:
Circumference of circle = 2 pi r
= 2 x 3.14 x 6
= 6.28 x 6
= 37.68 cm
Area of circle = pi r^2
= 3.14 x 6^2
= 3.14 x 36
= 113.04 cm^2
Answer:
469
Step-by-step explanation:
What you need to do is divide 335 by 5 to see how many miles are in one hour. You'll get 67. Then you can multiply 67 by 7 to get an answer of 469.
