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Aleksandr [31]
2 years ago
6

they are 6 patches per square foot to make a blanket, how many patches will she need make a blanket that is 720 square inches

Mathematics
1 answer:
marishachu [46]2 years ago
8 0
The answer is 30 patches

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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
Area of triangular base from the following prism
8_murik_8 [283]

Answer:

84m2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A can is 4 inches wide and 8 inches tall. To the nearest whole number, what is the area of a label that wraps around the can if
Yakvenalex [24]

Answer:

The area of a label is 62.8\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a cylinder (label of the can) is equal to

LA=2\pi rh

we have that

A can is 4 inches wide

so

The diameter of the can is 4 inches

r=4/2=2\ in ----> the radius is half the diameter

h=8-3=5\ in ----> height of the label

substitute in the formula

LA=2(3.14)(2)(5)=62.8\ in^{2}

5 0
3 years ago
35 points!!! Help!! Make sure u answer all!!!
Mademuasel [1]

Answer:

Expression for Perimeter:  6x + 6

x = 12 cm

Verify A = 360:

2(12) x (12+3) = 360

24 x 15 = 360

360 = 360

Step-by-step explanation:

8 0
2 years ago
Help with this, least to greatest again<br>please
Norma-Jean [14]

Answer:

-0.25, -0.15, -0.6

Step-by-step explanation:

- 1/4= -0.25.

Bigger number with negative = smaller number

5 0
2 years ago
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