Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
Below in bold.
Step-by-step explanation:
Area = altitude * base
3. 6.2 * 6
= 37.2 cm^2.
4. 0.12 * 0.24
= 0.0288 m^2.
5. 32 * 0.4
= 12.8 m^2.
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
Answer:
A)
62/3 = 20.67 hours
B)
60.00 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
The most common scenario was the low-fuel landing. It was there in 25 % of the tests. The number of tests was 25+115=140 tests (adding up the failed and passed test.
So to find our how many were trained in the most common scenario, we have to calculate25% of 140.
25/100*140=(i calculate frist 25/100. I divide both by 25, we have 1/4)1/4*140 = In order to calculate this, we need to divide 140/4. This is:
35____140:4 12 20 20 ==
so the correct answer is 35.
