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3 years ago

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Jenae is sewing a quilt for her grandmother. She decides the area of the quilt will be x2 + 18x + 80 square feet. The length of

the quilt is (x + 10) feet.

1 answer:

shusha [124]3 years ago

5 0

Answer:

ffdg

Step-by-step explanation:

ffffffffffffffff

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Ray CE is the angle bisector of ACD. Which statement about the figure must be true?

Viefleur [7K]

we know that

"Bisect" means to divide into two equal parts

so

If the ray CE is the angle bisector of ADC

then

$Angle(ACD)=Angle(ACE)+Angle(ECD)$

$Angle(ACE)=Angle(ECD)$

so

$Angle(ACD)=2Angle(ACE)$

$Angle(ACE)=\frac{1}{2} Angle(ACD)$

therefore

<u>the answer is the option</u>

$Angle(ACE)=\frac{1}{2} Angle(ACD)$

or

$Angle(ACE)=Angle(ECD)$

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2 years ago

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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

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Logan and his brother plan to make spherical glass ornaments to decorate their living room. Logan decides to completely fill the

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For this case the first thing you should do is find the volume of the sphere.
We have then:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere's radius
Substituting values we have:
V = (4/3) * (3.14) * ((3/2) ^ 3)
V = 14.13 in ^ 3
Answer:
The amount of glitter required to completely fill one glass ornament is:
V = 14.13 in ^ 3

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Answer:

B. 30

Step-by-step explanation:

the equation looks like 22 - x = -8 and 22 - 30 is negative 8

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Molodets [167]

Answer:

4) ( 5, 0) and ( -5, 0)

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