Answer:
the length of his shadow on the building is decreasing at the rate of 0.525 m/s
Step-by-step explanation:
From the diagram attached below;
the man is standing at point D with his head at point E
During that time, his shadow on the wall is y = BC
ΔABC and Δ ADE are similar in nature; thus their corresponding sides have equal ratios; i.e
8y = 24
y = 24/8
y = 3 meters
Let take an integral look at the distance of the man from the building as x, therefore the distance from the spotlight to the man is 12 - x
∴
To find the derivatives of both sides ;we have:
During that time ;
and y = 3
So; replacing the value into above ; we have:
Thus; the length of his shadow on the building is decreasing at the rate of 0.525 m/s
Answer:
a) when x = Raw Score: 42
Standard deviation = σ = -10.3
b) Raw Score: 81
Standard deviation = σ = 2.67
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3
Z score formula is given :
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean = 73
σ is the population standard deviation
z = 3
a) when x = Raw Score: 42
z = (x-μ)/σ
3 = 42 - 73/σ
Cross Multiply
3σ = 42 - 73
3σ = -31
σ = -31/3
σ = -10.3
b) Raw Score: 81
z = (x-μ)/σ
3 = 81 - 73/σ
Cross Multiply
3σ = 81 - 73
3σ = 8
σ = 8/3
σ = 2.67
Answer: 12 / (7-4)+5 x 3=19
the / is the same as the dividing sign
Step-by-step explanation:
12 / (7-4)+5 x 3=19
12/3+15=19
4+15=19
19=19
We have that
A(-10,2)
B(2,2)
C(2,-6)
D(-10,-6)
using a graph tool
see the attached figure
the answer is
<span>the dimensions of the rectangle are 12 units x 8 units</span>
Answer:
y=3
Step-by-step explanation:
Using the point slope formula
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-3 = 0(x--3)
y-3 = 0(x+3)
y-3 =0
y-3+3 = 0+3
y=3
