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Nuetrik [128]
2 years ago
12

A Statue cast a shadow 25 feet long a boy standing next to the statues 4.5 feet tall and casts a shadow that is 3.6 feet long ho

w tall is the statue
Mathematics
1 answer:
tester [92]2 years ago
8 0
Set up a proportion. Let h = the statue height. h/statue shadow = boy height/boy shadow.

h/25 = 4.5/3.6

Cross multiply and solve for h.
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Which one is the positive slope A.) (2,-3,) and (1,-2), B.) (0,0) and (3,-3), C.) (-1,-1) and (5,4) , D.) (-3,0), (9,0)
bagirrra123 [75]

Answer:

C.

Step-by-step explanation:

Use slope = (y2-y1)/(x2-x1).

slope = (4 - -1)/(5 - -1)

slope = 5/6, positive

Hope this helps!

6 0
2 years ago
Read 2 more answers
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
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2 years ago
If x Is a real number such that x3 = 64, the x2 + x equals what?
Annette [7]

Answer:

20

Step-by-step explanation:

Assuming that the equation is x³ = 64, that can be solved by putting cube root on both sides like so: ∛(x³) = ∛64, which simplifies to <em>x = 4</em>.

Plugging that into our expression gives us <em>4² + 4</em>, which is 20.

7 0
3 years ago
Which of the following numbers has an odd number of factors 13,15,25,26?
kvv77 [185]

Answer:

25. Its cubed.

Step-by-step explanation:

7 0
3 years ago
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