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3 years ago

Can someone help me solve by showing me how to..

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

Answer:

#15) B. 41

#16. A. 6

Step-by-step explanation:

You are given the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse of the right triangle.

In problem 15, x is the hypotenuse and 9 and 40 are the legs, so you can substitute these values into the formula and solve for c (x).

(9)^2 + (40)^2 = c^2

Evaluate the exponents.

81 + 1600 = c^2

Add the like terms together.

1681 = c^2

Square root both sides of the equation.

c = 41

Since c = x, the answer for #15 is b. 41.

x and 8 are the legs and 10 is the hypotenuse, so substitute these values into the formula. Make x = a.

a^2 + (8)^2 = (10)^2

Evaluate the exponents.

a^2 + 64 = 100

Subtract 64 from both sides of the equation.

a^2 = 36

Square root both sides of the equation.

a = 6

The answer is A. 6.

hichkok12 [17]3 years ago

3 0

$15. \: x = \sqrt{ {9}^{2} + {40}^{2} } = \sqrt{81 + 1600} = \sqrt{1681} = 41 \\ 16. \: x = \sqrt{ {10}^{2} - {8}^{2} } = \sqrt{100 - 64} = \sqrt{36} = 6$

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Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

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R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

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Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

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3 years ago

Shannon is selling boxes cookies and candy for a fundraiser. She's sold each box of cookies for $5.25. She also sold one one box

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Answer:

The minimum boxes of cookies is 39

Step-by-step explanation:

Let

x ----> the number of boxes of cookies sold

y ----> the number of boxes of candies sold

we know that

The word "at least" means "greater than or equal to"

The inequality that represent this problem is

$5.25x+8.75y\geq 200$

The solution is the shaded area above the solid line $5.25x+8.75y=200$

using a graphing tool

The solution is the shaded area -----> see the attached figure

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$5.25x\geq 200$

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