Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet
Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property
Differentiate w.r.t t
Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
There are 120 6-digit numbers that can be formed
<h3>How to determine the combination of digits?</h3>
The digits are given as:
0,1,3,5,7 and 9
Since the number must be divisible by 10.
Then the number must end in 0
The other 5 digits can take any of the 0,1,3,5,7.
So, the number of combination is:
Count = 5! * 1
Expand
Count = 5 * 4 * 3 *2 * 1 * 1
Evaluate
Count = 120
Hence, there are 120 6-digit numbers that can be formed
Read more about combination at:
brainly.com/question/11732255
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Answer:
180 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,
A+B+C=180
15+90+B=180
B=180-90-15
B=75 degrees
Using the sine law,
a/sinA = b/sinB = c/sinC
where a, b, and c are the sides of the triangle,
So,
a/sin15 = 37/sin90
and
b/sin75 = 37/sin90
Simplifying, and solving for a and b, the measure of each side is
a= 9.58 units
b=35.74 units
I hope this helped. I am sorry if you get this wrong.
You would wana use SA=2lw+2lh+2hw
so SA=2(8×2)+2(8×12)+2(2×12)
make the calculations than mention how you find the surface of one side of the box than the whole surface area by using that formula
