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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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How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge
stiks02 [169]

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P (less than 2500 grams)

P(x < 2500)

P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)

Calculation the value from standard normal z table, we have,  

P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%

b) P ((less than 1500 grams)

P(x < 1500)

P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)

Calculation the value from standard normal z table, we have,  

P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%

3 0
2 years ago
PLEASE HELP. i’ll give brainliest if you want!
hammer [34]

Answer:

Dharma

Step-by-step explanation:

looked it up

3 0
3 years ago
Read 2 more answers
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
tankabanditka [31]
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04


8 0
3 years ago
Find the sum of (x+5), (-4x-2), and (2x-1)
RideAnS [48]
I think the answer is -x+2.
3 0
3 years ago
Find the value of x at which the function has a possible relative maximum or minimum point.​ (Recall that e Superscript x is pos
shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

f'(x)=  -e^{-4x}(11+4x)

And then we get that   if   11+4x = 0   then   x = -11/4 . So it has a critical point at   x = -11/4.

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56

x= -11/4 is a maximum.

6 0
3 years ago
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