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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."


You might be interested in
The circumference of the top rim of the cone-shaped paper cup is 8.66 inches. Find the least amount of paper that can form the c
navik [9.2K]

Answer:

15.59 square inches

Step-by-step explanation:

In the required given diagram, the slant height of the cone was given as 3.6 inches.

The least amount of paper required would be equal to the curved surface area of the cone.

curved surface area of a cone = \pirl

where r is the radius and l the slant height.

circumference of the top rim = 8.66 inches

circumference = 2\pir

⇒ 8.66 = 2\pir

4.33 = \pir

r = 4.33/\pi

curved surface area = \pi x  4.33/\pi x 3.6

                                 = 4.33 x 3.6

                                = 15.588 square inches

Thus, the least amount of paper that can form the cone shaped cup is 15.59 square inches.

7 0
3 years ago
Reflect the triangle in the mirror line.
vredina [299]

Answer:

I can't include a picture but it will be the same shape except it will be flipped over  and will look a bit like differently angled packman with the back of the mouth apart the same distance, with the mouth "pointier" part of it one line away from the red line from the other side.... Oof sorry if this didn't help, I tried my best...

Step-by-step explanation:

From the "point" of the blue triangle, go diagonally SE 2 spaces. From there, draw a straight line to the right for 3 spaces. From there, draw upwards two spaces, and then connect those two lines into a triangle.

5 0
3 years ago
The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000.
Mademuasel [1]

Answer:

Salaried pay is preferable for a new employee

Step-by-step explanation:

<u>As per table, hours worked per week:</u>

  • 0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46

<u>Employee gets paid for 46 hours per week:</u>

  • $40*14 + (46- 40)*$21 = $686

<u>Average yearly salary would be:</u>

  • $686/7*365 = $35770

<u>Comparing with annual salary, we see:</u>

  • $37000 > $35770

As we see, hourly employees get paid less, so the new employee should choose annual salary option

7 0
3 years ago
Which point is on the line that passes through (0,6) and is parallel to the given line? plzz helppp!
Grace [21]

Points on given line = (-12,-2) and (0,-4) because you can see them on the graph.  Then draw a parallel line thru (0,6)

To get from (0,-4) to (0,6) your x stays constant and your y coordinate increased by 10.  So your new point will do the same in relation to (-12,-2)  the x will stay constant at -12 and your y will increase by 10 to +8.  

So the answer is A (-12,8)

You can check this because parallel lines have the same slope so

y2-y1/x2-x1 should be equal for both lines.

Line 1:  -4 - (-2) / 0 - (-12) = -2/12 = -1/6

Line 2:  6 - 8 / 0 - (-12) = -2/12 = -1/6


5 0
3 years ago
Evaluate [16 ÷ (2 + 3 • 2)] + [4 • (36 – 25)]
maw [93]

Answer:

46

Step-by-step explanation:

There is an open + in the middle. It does not have any brackets around it. Therefore you do it at the very last.

Left side of the plus sign.

[16 ÷ (2 + 3*2)] Do the multiplication inside the parenthesis ( 2*3) first.

= [16 ÷ (2 + 6)] Add inside the parenthesis.

= [16 ÷ 8 ]         Do the division

= 2

Right side of the open plus sign

[4 * (36 - 25)]   Do the subtraction first.

[4 * 11 ]             Do the multiplication

44

Now combine both right and left side.

2 + 44

46

The answer is 46.

8 0
3 years ago
Read 2 more answers
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