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ANTONII [103]
3 years ago
12

James is trying to determine the height of a building, so he uses a street sign as a reference. The street sign is 6 feet tall a

nd casts a shadow of 3 feet. The two triangles formed in the picture above are similar.
If the building casts a shadow of 21 feet, what is the height of the building?
A.45 feet
B.42 feet
C.63 feet
D.11 feet
Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Alisiya [41]3 years ago
4 0
The answer should be B
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Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
10^-3<br> it told me i needed to write more characters
Katen [24]

try .01

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What percent of 76 is 6
bulgar [2K]
To find what percentage one number is of another; divide the first number by the other number and multiply by 100 !

p = ( 6 / 76 )
× 100 ;
p = 600 / 76 ;
p = 7.89 ≈ 8 ;
p% = 8% ;
6 0
3 years ago
Simplify 7/3+3(2/3-1/3) squared
Mama L [17]
8/3 is your simplified answer
7 0
4 years ago
A circle has a sector with area 27\pi27π27, pi and central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, e
expeople1 [14]

Answer:

The radius of the circle is 9 units.

Step-by-step explanation:

To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:

sector area = (central angle)*pi*r²/360

27pi = 120*pi*r²/360

27pi = pi*r²/3

27 = r²/3

r² = 81

r = sqrt(81) = 9

The radius of the circle is 9 units.

3 0
4 years ago
Read 2 more answers
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