Answer:
Alex is 2 1/4 inches longer than Maddy
Step-by-step explanation:
Alex is longer than Maddy
20 3/4 - 18 1/2
Get a common denominator
20 3/4 - 18 2/4
2 1/4
Alex is 2 1/4 inches longer than Maddy
Maddy is -2 1/4 inches longer than Alex
Answer:
Pretty Simple!
Step-by-step explanation:
So, according to similar triangles, all the measures of their corresponding angles are equal.
According to the picture, <A corresponds to <D. Thus:
m<D=32 degrees
Hope this helps!
Step-by-step explanation:
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Answer:
63
Step-by-step explanation:
let the two numbers be x,y (x>y)
Then x+y = 16 and x-y = 2
We know that (x+y)^2 - (x-y)^2 = 4xy
So 4xy = 16^2 - 2^2 => 4xy = (16+2)(16–2)
So xy = 18×14/4 = 63
Product of the numbers = 63
Answer:
<u>135.94 feet</u>
Step-by-step explanation:
Split the problem into two parts :
- Distance between viewer and building
- Height of the top part of the building
<u>Distance between viewer and building</u>
- The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
- Let the distance be called 'd'
- Therefore, tan37° = 40/d
- tan37° = 3/4 = 0.75
- ⇒ 40/d = 0.75
- ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet
<u>Height of the top part of the building</u>
- Let the height of the top part be 'h'
- Therefore, tan61° = h/d = h/53.3
- tan61° = 1.8
- ⇒ h/53.3 = 1.8
- ⇒ h = 53.3 x 1.8 = 95.94 feet
<u>Total height of building</u>
- Lower part + Top part
- 40 + 95.94
- <u>135.94 feet</u>
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