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Lerok [7]
4 years ago
8

A rectangular folder has a perimeter of 30 inches and an area of 54 square inches. What are the dimensions of the folder?

Mathematics
1 answer:
-Dominant- [34]4 years ago
3 0
We know, perimeter = 2(l + w)
So, 2(l + w) = 30
2l + 2w = 30
Divide the equation 2, 
l + w = 15

Now, Area = l * w
l * w = 54

Substitute the value of l from previous equation, 
(15-w) * w = 54
15w - w² = 54
w² - 15w + 54 = 0
w² - 6w - 9w + 54 = 0
w(w - 6) -9(w - 6) = 0
(w-6)(w-9) = 0
w = 6 or 9

In short, Your Dimensions would be: 6 × 9 in

Hope this helps!
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Find the miing value in the ratio table. Then write the equivalent ratio. Plum 14 42 Grape 7 3 24 The equivalent ratio are 14 :
denis-greek [22]

The equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Given, a ratio table

Plum     14   42   __   __

Grape    7    __    3    24

we have to find the missing values and the equivalent ratios.

in the first ratio,

Plum : Grape = 14 : 7 = 2 : 1

Now, in the second ratio,

2 : 1 = 42 : __

x = 21

Now, in the third ratio,

2 : 1 = __ : 3

x = 6

Now, in the forth ratio,

2 : 1 = __ : 24

x = 48

So, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Hence, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Learn more about Ratios and Proportions here brainly.com/question/26974513

#SPJ4

4 0
1 year ago
Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
sleet_krkn [62]

Answer:

g(f(2)+3)=30

Step-by-step explanation:

We have the two functions:

g(t)=t^2-t\text{ and } f(x)=1+x

And we wish to find:

g(f(2)+3)

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

f(2)=1+(2)=3

Hence, we can now substitute 3 for f(2):

g(f(2)+3)=g(3+3)=g(6)

Now, we can find g(6). Substitute 6 for t for g(t):

g(6)=(6)^2-(6)=36-6=30

Therefore:

g(f(2)+3)=30

4 0
3 years ago
What is the answer ??
Olenka [21]

Answer:

35

Step-by-step explanation:

I don't know how to explain sorry

8 0
3 years ago
A = 32°, a = 19, b = 14<br><br> solve the triangle using the law of cos
Lesechka [4]
Here is your solution.. hope it helps

6 0
3 years ago
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