1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Travka [436]
3 years ago
13

A 6-ft tall football player casts a 16-in. shadow. at the same time, the stadium bleachers cast a 6-ft shadow. how tall are the

bleachers?
Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical. 

<span>6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player. </span>

<span>So the bleachers are 9/2 x 6 ft = 27 ft. </span>

<span>For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216. </span>

<span>So the stage will have dimensions 216 times larger than 1.75" by 3". </span>

<span>That would be 31ft 6ins x 54ft. </span>
You might be interested in
What is the value of 4 in the decimal 4.706
juin [17]

Answer:

whole number

Step-by-step explanation:

6 0
3 years ago
Hillsboro Middle School has 714 students. Joanna surveys a random sample of 34 students and finds that 9 of them play a musical
Lilit [14]

Answer:

about 189

Step-by-step explanation:

because out of 34 is 9 so 714 divided by 34 is 21 and 21 multiply by 9 is 189.

3 0
2 years ago
Please help!!!!!&gt;&gt;&gt;&gt;&gt;&gt;
12345 [234]

Answer:

-3.3

Step-by-step explanation:

-2.3-(4.5-3 1/2)=-2.3-(4.5-3.5)=-2.3-(1)=-3.3

3 0
3 years ago
Bread and sugar cost 110 together,bread cost 100 more than sugar,how much does sugar cost?
dangina [55]
First write an equation system based on the problem
We can write "<span>Bread and sugar cost 110 together" as
</span>∴ b + s = 110
We can write "<span>bread cost 100 more than sugar" as
</span>∴ b = 100 + s
<span>
Second, solve the equation system by subtitution method
Subtitute b with (100+s) in the first equation, and we'll find the value of s
b + s = 110
(100 + s) + s = 110
100 + 2s = 110
2s = 110 - 100
2s = 10
  s = 10/2
  s = 5
The cost of the sugar is 5</span>
4 0
3 years ago
The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s leng
Sonbull [250]

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}

5 0
3 years ago
Other questions:
  • Which equation has a constant of proportionality equal to 4
    13·1 answer
  • If the standard deviation of shear strength measurements for spot welds is 10.5 pounds per square inch (psi), what is the minimu
    6·1 answer
  • What is <br> <img src="https://tex.z-dn.net/?f=9%28%20%5Cfrac%7B1%7D%7B3%7D%20%29-4%282.6%29%2B2%28-3%29" id="TexFormula1" title
    13·2 answers
  • 7 = 1/2(x + 2)<br> Need help finding the answer!
    10·1 answer
  • Can anybody help me please
    6·1 answer
  • What is 78% of 112?..
    5·2 answers
  • Solve for x. Please help besties
    15·1 answer
  • I need help trying to solve this question to the nearest tenth of a degree
    8·1 answer
  • What is the answer to the question
    8·1 answer
  • (20 points) please help
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!