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4 years ago

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

1 answer:

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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You simultaneously flip a pair of fair coins. Your friend gives you one dollar if both coins come up heads. You repeat this ten

sergey [27]

Answer:

E(X) = $2.5

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Step-by-step explanation:

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3 years ago

a baby boy weights 7 lb 8 oz. A five year old weights 48 lb. write the ratio of the baby's weight to the boys weight as a fracti

inn [45]

Weight of baby boy , w = 7 lb 8 oz .

Weight of 5 year kid , W = 48 lb .

We know , 16 oz = 1 lb .

So , w = 7 + 0.5 = 7.5 lb .

Now , ratio is :

$R=\dfrac{7.5}{48}\\\\R=\dfrac{5}{32}$

Therefore , the ratio of the baby's weight to the boys weight as a fraction is

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Hence , this is the required solution .

4 0

4 years ago

I need help with this. I'll mark brainliest to whoever is correct

zaharov [31]

Answer:

As shown in picture, the area is divided into 4 parts: 3 triangles and 1 rectangles.

Total area:

A = smallest triangle + medium triangle + largest triangle + rectangle

= 2 x 2 x 1/2 + 2 x 6 x 1/2 + 4 x (2 + 2 + 6) x 1/2 + 2 x 2

= 2 + 6 + 20 + 4

= 32

Hope this helps!

8 0

3 years ago

3M + 7 - 8 + 33 + 2M <br> help me

Alecsey [184]

Answer:

if you are simplifying your answer is: 5m + 2

Step-by-step explanation:

hope this helps

3 0

3 years ago

PLEASE HELP!! What is ∠ PTQ?

Mnenie [13.5K]

Answer:

Angle PTQ= 40

Step-by-step explanation:

Angle PTQ and angle RTS are complementary that means they are the same

so you will equal them together.

2x+16=x+28

move your smallest x

x+16=28

move your 16

X=12

now substitute your x

(12)+28=40

Angle PTQ= 40

6 0

3 years ago