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Likurg_2 [28]
3 years ago
7

An artist uses different types of paper to create her masterpieces. She has shiny metallic paper and pink glittery paper. The sh

iny paper comes in lengths of 24 inches and the glitter paper in lengths of 36 inches. She wants to make sure she can cut her paper into equal sizes but doesn’t want them to be too small. What’s the largest size she can cut them into without any waste?
Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

it is 24 . Logically in my idea .

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A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

\frac{\text {height of tree}}{\text {length of shadow}}

Let us assume,

Height of tree = H_t = 4 feet

Length of shadow of tree = L_t = 15 feet

Height of another tree = H_a

Length of shadow of another tree = L_a = 20 feet

Set up a proportion comparing the height of each object to the length of the shadow,

\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}

\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}

Substituting the values we get,

\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33

So the height of another tree is 5 feet approximately

8 0
3 years ago
Felicia is building a rectangular garden. The garden will have a perimeter of 20 meters. Give three pairs of possible side lengt
Lynna [10]
8 and 2: 8+8+2+2
7 and 3: 7+7+3+3
6 and 4: 6+6+4+4
                              =20


5 0
3 years ago
Michael's dad is 30 years of age.He is 2 years more than 4 times Michael's age m.Write and solve a two-step equation to determin
aniked [119]
30-2 = 4x

28 = 4x

Divide both sides by 4 to eliminate the 4. 

x=7
7 0
3 years ago
The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, wher
Romashka [77]

Answer:

y = -0.1x^2 + 250 ft

Step-by-step explanation:

Because this quadratic equation would have the curve-down form of:

y = -ax^2 + b

where a and b are positive coefficient.

If we let the peak (250 ft) of the curve be at x = 0. Then

y = -a0^2 + b = 250

b = 250

Also at the begins and ends, thats where y = 0, the 2 points are separated by 100 ft. So let the begin at -50 ft and the end at 50ft. We have

-a(\pm 50)^2 + 250 = 0

-a2500 = -250

a = 250/2500 = 0.1

Therefore, the model quadratic equation of our path would be

y = -0.1x^2 + 250 ft

8 0
3 years ago
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your
dusya [7]

Answer:

Step-by-step explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as \frac{1}{3} x \frac{1}{2}

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to \frac{1}{6}

4 0
2 years ago
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