The length of the shadow is 14.2 m
Right angle triangle:
Right angle triangle has one of its sides as 90 degrees.
The height of the building is the opposite side of the triangle.
The distance from the top of the building to the tip of the shadow is 35 m is the hypotenuse side.
The length of the shadow is the adjacent side of the triangle.
Therefore,
c² = a² + b²
b² = 35² - 32²
b² = 1225 - 1024
b² = 201
b = √201
b = 14.17
b = 14.2 m
Hence the length of the shadow is 14.2 m.
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Answer:
164
Step-by-step explanation:
Checkpoint 2= -187
Checkpoint 1= -23
The negatives mean how much lower they are from the surface.
To find "how much lower," we need to subtract -23 from -187.
-187-(-23) is the same as -187+23 (2 negatives=1 positive)
-187+23= -164.
However, it's not negative in the answer because by asking how much lower, we don't need to have a negative. "How much lower" is a distance, and a distance is always positive.
Answer:
how heavy is the pumpkin
Step-by-step explanation:
49w² -112w + 64
first, you have to find 2 numbers that add up to equal -112, but also multiply together to get a product of 3136 (49 * 64)
two numbers that add to -112 and multiply to equal 3136 is -56 and -56
we can add them into the equation by putting them in for -112x
49w²-56w-56w+64
we now look at what the first 2 numbers have in common and what the last two numbers have in common
49w² and -56w both have w and 7 in common so we can divide 7w
7w(7w -8)
-56w and 64 both have -8 in common so we can divide by -8
-8(7w-8)
now we take the 2 numbers on the outside and bring down the numbers in the brackets
(7w-8)(7w-8)
(7w-8)²
