Answer: 380 ft^2
Step-by-step explanation:
Length of sides of square=25
Diameter of semicircle=25
Radius=r=25/2=12.5
π=3.14
Area of square=length x length
Area of square=25 x 25=625
Area of semicircle=0.5 x π x r x r
Area of semicircle=0.5 x 3.14 x 12.5 x 12.5
Area of semicircle=245.3125
Area of shaded portion=area of square - area of semicircle
Area of shaded portion=625-245.3125
Area of shaded portion=379.6875
Area of shaded portion=380ft^2
approximately
Answer:
time = 1 hour 24 minutes
Step-by-step explanation:
Given that:
Eastbound train travels at a rate of 65 miles per hour
Westbound train travels at a rate of 85 miles per hour
So speed = 65 + 85 = 150 miles per hour
Total distance = 210 miles
We have to find the time
We know that
Distance = time * speed
OR
time = distance / speed
time = 210/150
time = 1.4 hours
Or it can be written as:
time = 1 hour 24 minutes
i hope it will help you!
<u>Given</u>:
Alex has 70% of her weekly paycheck automatically deposited into a savings account. This week, $35 is deposited.
We need to determine the equation to find p, the total amount of Alex's paycheck.
<u>Equation for p:</u>
Let us determine the equation for p.
Thus, from the given, we have;

Substituting the values, we have;

Simplifying, we get;


Thus, the equation to determine the total amount of Alex's paycheck is 
Hence, Option A is the correct answer.
Answer:
3.84m
Step-by-step explanation:
If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.
32cm * 12 = 384cm
1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters
384 * 0.01 = 3.84m
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435