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
solniwko [45]
3 years ago
15

Mac is 5 feet tall and casts a 4 foot 6 inch shadow. At the same time, a nearby tree casts a 20

Mathematics
2 answers:
Sergio [31]3 years ago
7 0

I will convert feet to inches.

4 feet, 6 inches = 54 inches

20 feet = 240 inches

5/x = 54/240

Let x = closest height of tree

54x = 5(240)

54x = 1,200

x = 1200/54

x = 22.2222222222

The tree is about 22 feet tall.

Irina18 [472]3 years ago
5 0

Answer:

22 inches

Step-by-step explanation:

Height of Mac = 5 feet

Height of shadow of Mac = 4 foot 6 inches = 4+\frac{6}{12}= 4.5 inches .

We are given that At the same time, a nearby tree casts a 20  foot shadow .

Let the height of the tree be x

ATQ

\frac{5}{4.5}=\frac{x}{20}

\frac{5}{4.5} \times 20=x

22.22=x

Hence the height of the tree is approximately 22 inches .

You might be interested in
What is 9/10 divided by 6.5
noname [10]

Answer:

0.13846153846

3 0
3 years ago
Read 2 more answers
a square window has a perimeter of (8x + 12) feet. Write an expression that represents the side length of the window. (in feet)
Harrizon [31]
8x+12=p so you would take away 12 from p making the equation 8x=p-12 and then divide that by 8 so the equation is x= p-12/8 ( x equals p minus 12 over 8)

7 0
3 years ago
I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of tha
PtichkaEL [24]

Answer:

92

Step-by-step explanation:

We will list out the numbers which are factors of 12. They include:

1, 2, 3, 4, 6, 12.

We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.

To do this, we will write out the multiples of 4. They include:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.

We will have to choose the highest number which only 4  can divide and  6 and 12 cannot divide.

Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.

We will quickly see that 4 can divide 92 but 6 and 12 cannot.

This gives us 92 as the answer.

4 0
3 years ago
2 sine squared theta plus sine theta minus 1 equals 02sin2θ+sinθ−1=0
frutty [35]
I did not even understand that equation
4 0
3 years ago
Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

8 0
3 years ago
Other questions:
  • A bridge in the shape of a parabolic arch is modelled by this function (see pic).
    15·1 answer
  • {y = 3x -1<br> {x-y = - 9
    11·2 answers
  • MEGA POINTS... CAN CHAT AFTERWARDS...
    15·1 answer
  • Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x
    9·2 answers
  • A bacteria colony doubles in 8 hours. How long does it take to triple? Use N=No2^t/T
    11·1 answer
  • 1+15t(6-7t)x17-896t+(-78)
    5·2 answers
  • A wheel with a diameter of 12 inches will move 337 when rolled five times. How far will the same wheel move to the nearest inch,
    9·1 answer
  • Which of the following does not have a sum of 6?<br><br> 2 + 4<br> 8 + (-2)<br> -4 + (-2)<br> -2 + 8
    5·1 answer
  • Measure of angle LOI= 38 degrees<br> Measure of angle JOP= 84 degrees<br> Find measure of angle JKP
    9·1 answer
  • The black graph is the graph of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!