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Sauron [17]
3 years ago
13

The baking sheet shown holds 12 cookies. Each cookie has a diameter of 3 inches.

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

23 in^2

Step-by-step explanation:

We need to find the area of the baking sheet and the area of the 12 cookies. Then we subtract the area of the cookies from the area of the baking sheet.

Baking sheet:

length = 4 cookies = 4 * 3 in. = 12 in.

width = 3 cookies = 3 * 3 in. = 9 in.

area = length * width = 12 in. * 9 in. = 108 in.^2

Cookies:

diameter = 3 in.

radius = diameter/2 = 3 in./2 = 1.5 in.

area of 1 cookie = (pi)r^2

area of 12 cookies = 12(pi)r^2 = 12(3.14159)(1.5 cm)^2 = 84.823 in.^2

area of unused space =

= area of baking sheet  area of 12 cookies

= 108 in.^2 - 84.823 in.^2

= 23.177 in.^2

Answer: 23 in^2

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If 4/5 litter of gas runs 12Km how long will 20 litter of gas run?
Anna35 [415]

Answer:

300 Kilo-meters

Step-by-step explanation:

Since 4 / 5 of a liter runs for 12 kilo-meters and you need to find how much 20 liters would run, you need to find how much a liter can run for.

L is the variable for which how much a liter can run for. Which is what we need to solve.

4 / 5 x L =  12

To isolate L, you need to multiply both sides by 5/4 since multiplying a number by its reciprocal produces one. Note: A reciprocal is a number where the denominator and numerator are switched. Example: 2/3 and 3/2 multiplying it with each other get 6/6 which is 1.

4 / 5 x 5 / 4 x L = 12 x 5 / 4

L = 12 x 5 / 4

L  = 60/4

L = 15

Now you know that each liter is worth 15 kilo-meters and you need to find how much 20 liters will run for.

20 x L = Kilo's Ran

20 x 15 = Kilo's Ran

300 = Kilo's Ran

20 Liters will run for 300 Kilo-meters.

I Hope This Helps You :)

7 0
3 years ago
3.) The Smith family went to the circus. It cost 9.75 per person for a ticket. If the Smith family
vekshin1

Answer:

117

100

10

7

Step-by-step explanation:

9.75x12=117

4 0
2 years ago
Read 2 more answers
What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²
AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}

Substituting coordinates A and C we get

l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit

Similarly for BD we have,

l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit

Now Substituting AC and BD in Formula we get

\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD

\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}

Therefore the Area of Rhombus ABCD is 36 unit².

6 0
3 years ago
Which expressions have the same solution as –4(6)?
gogolik [260]

Answer:

-24

Step-by-step explanation:

8 0
3 years ago
Georgia wants to purchase a piece of fabric that is between 64 and 68 inches long. She can choose between three pieces of fabric
sineoko [7]
The answer is B. Mark as brainliest if this helped you out :). (It would be 66 inches long)
6 0
3 years ago
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