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professor190 [17]

3 years ago

5

What is the volume of the prism 8 ft 3 ft 2 ft ( i ready) (Cubic feet)

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

48ft^2

Step-by-step explanation:

volume= length x width x height

8 x 3 x 2 = 48

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Make cos C the subject of the formula<br> C?= a? + b? - 2ab cos C

lara31 [8.8K]

<h3>Answer: Choice E</h3>

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\c^2 + 2ab\cos(C) = a^2 + b^2\\\\2ab\cos(C) = a^2 + b^2 - c^2\\\\\boldsymbol{\cos(C) = \frac{a^2 + b^2 - c^2}{2ab}}\\\\$

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2 years ago

The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?

Dmitry [639]

The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.

3 0

3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

so

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

so

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

What is "the quotient of a number and 12." In number form?

kykrilka [37]

Answer:

x/12

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP ASAP DUE IN 5 MIN PLEASEEEE !!!!!! Which best compares the maximum value of the two functions?

professor190 [17]

Answer:

3 is the correct answer

Step-by-step explanation:

because

5 0

2 years ago

Read 2 more answers