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2 years ago

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kayla is drawing a picture of her favorite building in her city, the height of the building on her drawing is 3 inches tall, the

actual height of the building is 36 feet, what is the scale factor

1 answer:

Stolb23 [73]2 years ago

4 0

Answer:

1/12

Step-by-step explanation:

3/36 can easily be simplified into 1/12 you're welcome :)

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

2 years ago

Multiply using a special product formula (6x-8) (6x+8)

ANEK [815]

The correct answer is B.

6x*6x=36x

-8*+8=-64

Thus, our equation is 36x-64

Hope this helps!

4 0

2 years ago

A crate filled with bottles weight 4kg.The bottles weight 2.3kg what is the weight of the empty crate

Anni [7]

The calculation: 4kg-2.3kg = 1.7 kg
The crate weighs 1.7 kg

7 0

2 years ago

Rina8888 [55]

How much are the soccer cleats

7 0

2 years ago

ustin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he

Tema [17]

Answer:

I would say that it should be 48 ft long and 46 ft wide, the area would be 2208 square feet

Step-by-step explanation:

I will try my best to answer this.

I would start by dividing 188 by 4

this gives you a 47*47 square

if it needs to be a rectangle I would then make the sides 48, 48, 46, and 46

48*46 would be the dimensions

the area would be 2208 square feet

5 0

2 years ago