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Kisachek [45]
4 years ago
6

Dr. Black is standing 15 feet from a streetlamp. The lamp is making his shadow 8 feet long. He estimates that the angle of evela

tion from the tip of his shadow to the top of the streetlamp is 50 degrees. To the nearest foot, the streetlamp is about
Answer please ( no picture, a word problem )
Mathematics
1 answer:
lina2011 [118]4 years ago
4 0
The base of the triangle is 15 + 8 = 23 feet
 and the angle is 50 degrees
to find the height of the street lamp
 multiply the base ( 23) by the Tan(50)
tan(50) x 23 = 27.41 feet rounded to nearest foot would be 27 fee
 
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Is 5 1/4 / 3 1/2 the same as 3 1/2 / 5 1/4? Explain.
yan [13]

No it is not the same because you can not reverse division problems the same way you can with multiplication.

5 1/4 / 3 1/2 is asking how many times 3 1/2 can go into 5 1/4. The answer to this would be 1.5

3 1/2 / 5 1/4 is asking how many times 5 1/4 can go into 3 1/2. The answer to this would be .667

3 0
4 years ago
Mandy has 5 boxes of books. There are 32 books in each box. How many books does she have in all
Elza [17]
She has 160 books , you multiply the number of boxes times how many are in each box. 5x32= 160
8 0
4 years ago
Read 2 more answers
Diego's club earns money for charity when members of the club perform community service after school,each student who does commu
sergeinik [125]

Answer: domain = 12 students

Range = $60

Step-by-step explanation:

Given that the total dollar amount earned, E. Is a function of the number of members who perform communityservice, n

That is

E(n) = 5n

Since the club earn $5 on each student who does community service, 

Domain is independent variable n

While range is dependent variable E

Domain is therefore = 12 students

Range = 12 × 5 = $60

3 0
4 years ago
Solve the equation.<br><br> y + 6 = –3y + 26
Sergeeva-Olga [200]
     y + 6 = -3y + 26
+ 3y        + 3y 
   4y + 6 = 26
         - 6   - 6
         4y = 20
          4      4
           y = 5
3 0
3 years ago
Read 2 more answers
There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4
Sergeeva-Olga [200]

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information:

  • S=\frac{3}{4}A
  • C=\frac{1}{4}T
  • H=\frac{1}{5}T
  • H = A-80

Compute the expression of <em>T</em> as follows:

H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)

Compute the value of <em>C</em> in terms of <em>A</em>:

C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)

Compute the value of <em>A</em> as follows:

Use expressions (i) and (ii):

T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220

Compute the value of <em>T</em> as follows:

T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020

Thus, the total number of books is 1020.

4 0
4 years ago
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