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3 years ago

11

Julie has 27 grapes to divide evenly among 3 friends .she think there will be no leftovers.use what you know about factor pair t

o explain whether or not Julie is correct

1 answer:

Mekhanik [1.2K]3 years ago

4 0

27/3 = 9 she is correct cause all 3 friends will have 9 grapes unless she divides the grapes between the four of them which will be incorrect

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

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3 years ago

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The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fix

nasty-shy [4]

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 = 32x =

15(1500) + 25,500 32(1500) =

22,500 + 25,500 48,000

48,000

and after selling 1500 benches, they will both equal $48,000

7 0

3 years ago

An office will randomly select one computer to check for viruses and other problems. Five of the office computers are less than

alisha [4.7K]

Your answer is going to be 4/9 :)

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3 years ago

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How do I find the volume of this?

lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0

3 years ago

Construct 3 linear equation starting with qiven solution z = 1/3

Andreyy89

Answer:

(a) $9z+2=5$

(b) $21z-11=-4$

(c) $4z=2-2z$

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 9

$9z=\frac{1}{3}\times 9\\9z=3$

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: $9z+2=5$

<u>Equation 2</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 21

$21z=\frac{1}{3}\times 21\\21z=7$

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: $21z-11=-4$

<u>Equation 3</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 6

$6z=\frac{1}{3}\times 6\\6z=2$

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: $4z=2-2z$

4 0

3 years ago