Answer:
15 miles/2 hours = 7.5 miles/hour
Correct equation: d = 7.5t
Michael needs to buy 1 5/8 feet more.
Length of metal flashing needed = 6 1/2
Since he already has two pieces we would add them together and this will be:
= 3 1/8 + 1 3/4
= 3 1/8 + 1 6/8
= 4 7/8
Therefore, we would subtract the above figure from 6 1/2 and this will be:
= 6 1/2 - 4 7/8
= 1 5/8
Therefore, Michael needs to buy 1 5/8 feet more.
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Answer:
Michael needs to purchase 1 5/8 feet more of metal flashing.
Step-by-step explanation:
To have the same denominator in both fractions, you can multiply 4 by 2. This will turn out to be 8, resulting in 8 being our common denominator. To achieve this, multiply:
7 x 2 = 14 or 1 6/8
4 2 8
We next add both fractions together, resulting in:
3 1/8 + 1 6/8 = 4 7/8
The fraction 6 1/2 can also be expressed as 6 4/8, so to find out how much metal Michael still needs to purchase, subtract 4 7/8 from 6 4/8.
A
B
C
D
The required height of the building is 53.31 feet.
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
Angle of elevation from the first car A to the top of the apartment building = 48 degrees,
Angle of elevation from the second car B to the top of the apartment building = 64 degrees.
Also, car B is 22 feet above the car A.
Let the height of the building is h feet.
And distance from the car B to the building is x feet.
Use formula of tan θ,
tan 64 = h / x
2.050 = h/x
x = h / 2.050 (1)
And tan 48 = h / x + 22
1.1106 = h / x+ 22 (2)
By solving equation (1) and (2)
1.1106 = h / (h/2.050 + 22)
1.1106 = 2.050h / h + 45.1
1.1106h + 50.08 = 2.050h
0.9394 h = 50.08
h = 53.31
The height of the building is 53.31 feet.
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