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MAVERICK [17]
3 years ago
14

A water tower casts a 100- foot shadow. At the same time, an 8- foot street sign casts a shadow of 6 feet. what is the height of

a tower?
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
Set up and solve an equation of ratios.  Comparing shadow lengths, we get 100/6; comparing heights, we get x/8.  Set these two ratios equal to one another and solve the resulting equation for x:

100       x
----- = ------      Then 6x=800, and x = 800 feet^2 over 6 feet.  Your answer 
   6        8

must have the unit of measurement "ft."


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What function equation is represented by the graph?
Ahat [919]

In the given graph, lets mark two points:

Let A = (0,-3) and B = (4,-2)

The slope of the line is given by:

m = \frac{(-2)-(-3)}{(4)-(0)}

m = \frac{-2+3}{4}

m = \frac{1}{4}

The equation of the line is given by:

(y-y_1)=m(x-x_1)

(y-(-3))=(\frac{1}{4})(x-0)

4(y+3)=x

4y+12=x

4y=x-12

y= \frac{1}{4}x-3

Therefore, the function equation represented by the graph is: f(x)= \frac{1}{4}x-3

5 0
3 years ago
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to
Anuta_ua [19.1K]

Answer:

The new length is 13.5 meters

Step-by-step explanation:

Here, we are interested in calculating the new length of the cloth she wants to use

What we know from the question is that she is making a reduction of 10% from an initial of 15 meters

Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is

Mathematically, that would be ;

10/100 * 15 = 1.5 meters

We now subtract this from the total of 15 meters

= 15 meters - 1.5 meters = 13.5 meters

6 0
3 years ago
R 0,-180<br> is the same rotation as<br> R<br> 90, 180<br> R 0,180<br> OR-90,180<br> R 0,90
aliya0001 [1]

90,180 is the same as R so it is

4 0
3 years ago
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a m
Stells [14]

Answer: See explanation

Step-by-step explanation:

Here is the complete question:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.

A. Students: 72

Minimum of chaperones: 9

B. Students: 16

Minimum of chaperones: 2

C. Students: 60

Minimum of chaperones: 6

D. Students: 45

Minimum of chaperones: 5

E. Students: 40

Minimum of chaperones: 8

Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.

We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:

Students: 72

Minimum of chaperones: 9

This will be: 72/9 = 8

Therefore, this is correct.

B. Students: 16

Minimum of chaperones: 2

This will be: 16/2 = 8

This is correct

C. Students: 60

Minimum of chaperones: 6

This will be: = 60/6 = 10.

Therefore, this is wrong

D. Students: 45

Minimum of chaperones: 5

This will be 45/5 = 9

Therefore, this is wrong.

E. Students: 40

Minimum of chaperones: 8

This will be: 40/5 = 8.

Therefore, this is wrong.

Therefore, options A and B are correct.

3 0
3 years ago
Read 2 more answers
5% of a number is 23​
kari74 [83]

Answer:

460

Step-by-step explanation:

5%(calculated %)of what number equals 23?

Answer is 460

I hope it's helpful!

4 0
3 years ago
Read 2 more answers
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