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Lubov Fominskaja [6]
2 years ago
6

A ramp is 4m in length and is situated at an angle of 48⁰. How far is the start of the ramp to the building?

Mathematics
1 answer:
WARRIOR [948]2 years ago
3 0
The ANWSER is 12 I hope I helped
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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm
VladimirAG [237]

Answer:

y=2x^2-4x-8

Step-by-step explanation:

<u>Factored form of a parabola</u>

y=a(x-p)(x-q)

where:

  • p and q are the x-intercepts.
  • a is some constant.

Given x-intercepts:

  • (1+√5, 0)
  • (1-√5, 0)

Therefore:

\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))

\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})

To find a, substitute the given point (4, 8) into the equation and solve for a:

\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8

\implies a(3-\sqrt{5})(3+\sqrt{5})=8

\implies4a=8

\implies a=2

Therefore, the equation of the parabola in factored form is:

\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})

Expand so that the equation is in standard form:

\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)

\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)

\implies y=2(x^2-2x-4)

\implies y=2x^2-4x-8

6 0
1 year ago
For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned
horrorfan [7]

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

Total fee = 42 + 8 = $50

Commission rate = \frac{Commission}{Total\ fee}*100

Commission rate = \frac{8}{50}*100

Commission rate = 0.16 * 100 = 16%

Therefore,

Commission of the employee = 16%

4 0
3 years ago
Read 2 more answers
If you place a 39-foot ladder against the top of a 23-foot building, how many feet will
Alborosie

Answer:

31.5 ft

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 23² = 39²

Subtract 23² from both sides

a² = 39² - 23²

a² = 1521 - 529

a² = 992

Take the square root of both sides

a = 31.496031496

Rounded

a = 31.5 ft

4 0
2 years ago
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If the measure of Angle AXC=8x-7 and Angle AXB = 3x+10 find the measure of ANGLE AXC
mafiozo [28]
I’m to lazy to figure out this question
8 0
3 years ago
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Two containers, one for 3 liters and one for 5 liters, how would you measure 4 liters
Mashutka [201]
Fill the 5-liter container, pour water from that into the 3 liter container until that is full,  You will now have 2 liters left in the 5 liter container.

Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.

Now fill the 5-liter container again, then pour water carefully from the 5-liter container into the 3-liter container until it is full - exactly one more liter.

The 5-liter container now has 4 liters in it.
8 0
2 years ago
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