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a_sh-v [17]
4 years ago
13

A rectangular garden is 5ft long, 3ft wife. A second rectangular garden has dimensions that are doubled the dimensions of the fi

rst garden. What is the percent of change in perimeter from the first garden to the second garden? The percent increase ?% from the first garden to the second garden?
Mathematics
1 answer:
iVinArrow [24]4 years ago
5 0

Answer:

100%

Step-by-step explanation:

Perimeter of first garden is given by 2(l+w) where l is length and w is width

Perimeter=2(5+3)=16

The dimensions of second rectangle is doubled hence 10 ft by 6 ft

Perimeter=2(10+6)=32

Change in area will be 32-16=16

Percentage change in area is 16/16*100=100%

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One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
sveta [45]

Answer:

38.7°

Step-by-step explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

sin (\alpha) = opposite / hypothenuse= 5 ft/8ft

which is equivalent to

\alpha = sin^{-1}(5/8)\approx 38.7\deg

6 0
3 years ago
A regular polygon has its interior angles all equal to 174°
Vika [28.1K]
The shape has sixty sides

working out:
180 - 174 = 6
360 / 6 = 60
5 0
3 years ago
The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years
Paha777 [63]

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

n=y^x\\log_yn=x

which means that

.66667=.92^n\\=log_{.92}.66667

compute this and get

4.867

round this up to 5

4 0
3 years ago
Allison bought some shirts for her clothing store for $15 each. she received $50 off her entire purchase and spent a total of $4
Tom [10]
She Bought 23 shirts because if you do 400-50 you get 350 the / by 15 wich give you 23.333333ect
4 0
4 years ago
How you do these problems
nevsk [136]
So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:

5 to 10

We would change this into:

\frac{5}{10}

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

\frac{1}{2}

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.

If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!
6 0
3 years ago
Read 2 more answers
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