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2 years ago

Brandon is making a ramp . The ramp stands 3 feet tall and is 9 feet long . How long is the base of the ramp

Mathematics

1 answer:

tresset_1 [31]2 years ago

8 0

Answer: 8.48 Feet

Step-by-step explanation:

We can use the Pythagorean Theorem, A^2 + B^2 = C^2

A^2 + B^2 = C^2

A^2 + 3^2 = 9^2

A^2 + 9 = 81

81 - 9 = A^2

72 = A^2

√72 = A

8.48 = A

Hope this helps!

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Jessica drew a circle divided into 8 equal parts she shaded six of the parts what fraction is equivalent to the part of the circ

Anni [7]

Answer:

3/4

Step-by-step explanation:

Jessica shaded 6/8 of the circle. That fraction can be reduced by removing a factor of 2 from numerator and denominator. The reduced fraction is 3/4.

$\dfrac{6}{8}=\dfrac{2\cdot 3}{2\cdot 4}=\dfrac{2}{2}\cdot\dfrac{3}{4}=1\cdot\dfrac{3}{4}\\\\=\dfrac{3}{4}$

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3 years ago

What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out

Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides $12-2x$ and $16-2x$ , and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

$(12-2x)(16-2x)x = 4x^3-56x^2+192x$

The derivative of this function is

$12x^2-112x+192$

and it equals zero if and only if

$12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}$

If we evaluate the volume function at these points, we have

$f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)$

So, the maximum volume is given if you cut a square with side length

$x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7$

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2 years ago

You have $814 that you want to share equally between 5 charities.

kifflom [539]

Answer:

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Step-by-step explanation:

$814 to divide equally to 5 charities.

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the most useful next step is to give each charity $60

From $814 if we give -100, -100, -100, -100, -100

-60, -60, -60, -60, -60

we have left now:

814 -5*100 -5*60 = 814-500-300 = $14 left to split among the 5 charity.

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2 years ago

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nikklg [1K]

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2 years ago

The average of four different positive integers is 9. What is the greatest value for one of the integers?

nekit [7.7K]

Answer:

Step-by-step explanation:

<u>Sum of those 4 integers is:</u>

4*9 = 36

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3 0

2 years ago