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daser333 [38]
3 years ago
7

Jake is riding a skateboard down a ramp that is in the shape of a right triangle. The ramp has a height of 5 feet and a base of

12 feet. What is the length of the ramp?​

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

A. 13 ft.

Step-by-step explanation:

To solve this question, you will need to use the Pythagorean Theorem. In the Pythagorean Theorem, a^{2} +b^{2} = c^2.

a = 5

b = 12

c = c

5^2 + 12^2 = c^2

c^2 = 5^2 + 12^2

c^2 = 25 + 144

c^2 = 169

\sqrt{c^2} = \sqrt{169}

c = 13

So, your answer is A. 13 ft.

A shortcut, though, is just to memorize a few basic Pythagorean triples, as listed below.

Hope this helps!

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Lauren spent 3/5 of her money on a refrigerator. The refrigerator cost $756. How much money did she have left?
Lelechka [254]
Fractions are the part/whole.  We can set this up to be...

3/5 = 756
756 x5/3 = 1260.

if she had 1260 to begin with and spent 756, she would have 504.00 left.
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2 years ago
Give the digits in the tens place and the tenths place.<br><br> 12.05
Alina [70]
The digit in the tens place is 1.

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2 years ago
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
2 years ago
BANK, BA=7cm,BK=5.6cm,and angle KBA=85 degree​
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Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Phantasy [73]
Option C is correct.

try multiplying it out yourself. It should work
7 0
3 years ago
Read 2 more answers
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