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Zolol [24]
3 years ago
8

A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as sh

own.
What is the length of the ramp? Round your answer to the nearest tenth of a foot.



A.
15.8 ft

B.
14.1 ft

C.
16.0 ft

D.
20.0 ft

Mathematics
1 answer:
kirill [66]3 years ago
8 0
To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
15.8113883008 = c

So the ramp is:
15.8113883008 feet

Now round the number: 
15.8ft

The above is the answer :)
(btw sorry in advance if you've spotted a mistake)
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Need some help with this question!
Veronika [31]
1. solve for x in first to just find nterms of y

x=12-y
sub that for x in other one
first divide that one by 2 to make it easier
2x-y=18
2(12-y)-y=18
24-2y-y=18
24-3y=18
minus 24 both sides
-3y=-6
divide -3
y=2

D is answer




2.
find intersection of x+y=5 and -2x+3y=6
or easiers, just test the intersections
wait, they all intersect in the same place
this is super easy
pick ANY point that is in that reigon and see if it is true

A, if we pick lets say (5,5)
that is false for x+y<5
not A

B
pick (10,0)
false for first one
not B

C
pick (0,0)
true for first
false for 2nd
not C


D. pick (-10,0)
true for first
true for 2nd


answer is D


answer is D for both questions
6 0
3 years ago
A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w
Dafna11 [192]
1. You must use the formula for calculate the volume of a rectangular prism, which is:

 V=(h)(l)(w)

 V: It is the volumen of the rectangular prism (V=1152 inches³).
 h: It is the height of the rectangular prism (h=18-w).
 l:It is the lenght of the rectangular prism (l=2w+4).

 2. When you substitute these calues into the formula, you obtain:

 V=(h)(l)(w)
 1152=(18-w)(2w+4)(w)
 (18-w)(2w+4)(w)-1152=0

 3. Then, you should mutiply them:

 36w²-2w³+72w-4w²-1152=0
 32w²-2w³+72w-1152=0

 4. When you factor, you obtain:

 2(w-16)(w-6)(w+6)

 w1=16
 w2=6
 w3=-6

 5. The problem says that the height is greater than the width, therefore, the widht is:

 w=6 inches

 6. The length is:

 l=2w+4
 l=2(6)+4
 l=16 inches

 7. And the height is:

 h=18-w
 h=18-6
 h=12 inches

 What are the dimensions of the bag?

 The dimensions of the bag are:

 l=16 inches
 h=12 inches
 w=6 inches  
8 0
3 years ago
For which inequality is x = 5 a solution?
adoni [48]
<h3>C. <u>x > 42 </u></h3>

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7 0
3 years ago
Which expression is equivalent to 6^-3?
sveticcg [70]

Answer:

\boxed{ {6}^{( - 3)}  =  \frac{1}{ {6}^{3} }  =  \frac{1}{216}  }\\

<u>(1/216)</u> is the right answer.

7 0
3 years ago
Read 2 more answers
Given k(x) =x^3-2x, find k (3)
nadezda [96]

Answer:  21

Step-by-step explanation:

k(x) =x^3-2x

k(3) =3^3-2*(3)

k(3) =27-6

k(3) = 21

5 0
3 years ago
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