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Minchanka [31]
3 years ago
14

What angles are adjacent to 5​

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

5

Step-by-step explanation:

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A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the
AlladinOne [14]
Remember that for a function of the form y=a x^{2}, a parabola, the focus will be: (0, \frac{1}{4a} ).
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find a using the focus of the parabola:
\frac{1}{4a} =60'000.000
1=(60'000.000)(4a)
1=240'000.000a
a= \frac{1}{240'000.000}

Now, the only thing left is replacing the value of a in our equation y=a x^{2}:
y=( \frac{1}{240'000.000)} ) x^{2}
y= \frac{ x^{2} }{240'000.000}
 
We can conclude that the equation that represents the path of the comet is y= \frac{ x^{2} }{240'000.000}

5 0
3 years ago
Match the pairs.
mamaluj [8]
To solve the problem you must apply the corresponding formulas for calculate the area of each figure. Therefore, you have:

 1-A cube where the length of each edge is 4 inches: <span>96 square inches
</span><span> A=6a^2=96 inches^2
 2- A triangular prism where the area of each base is about 20 square inches, the length of each side of the base is 6 inches, and the height of the prism is 2 inches: </span><span>76 square inches.</span><span>
 3- A square pyramid with a base length and slant height of 5 inches: 75</span><span> square inches.
</span><span>A=2(5)(5)+5^2=75 inches^2
 4- A rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches:</span>94 square inches .
 A=2(4x5+3x5+3x4)=94 inches^2
7 0
3 years ago
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
seropon [69]

Answer:

7x-7

Step-by-step explanation:

We have been given that PR=4x-2 and RS=3x-5. We are asked to find the expression that represents length of PS.

We know that PS=PR+RS.

Upon substituting our given values in above equation, we will get:

PS=4x-2+(3x-5)

PS=4x-2+3x-5

PS=4x+3x-2-5

PS=7x-7

Therefore, the expression 7x-7 represents length of PS.

3 0
4 years ago
Solve 16x^2-9=16 and y^3-1=7 show work.
mars1129 [50]
Here you go. Answer is in the Image.

5 0
3 years ago
Read 2 more answers
the length of a rectangle garden is 8 feet longer than its width. if the gardens perimeter is 196 feet what is the area of the g
Mumz [18]
1) width = x
length = x + 8
perimeter = 2 (length + width)
196 = 2 * (x+8+x)
196 = 2* (2x+8)
196 = 4x + 16
180 = 4x
x = 45 (thats width)

2) length would be 45+8=53

3) area = length times width = 45 * 53 = 2385 square feet


3 0
3 years ago
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