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worty [1.4K]
3 years ago
7

A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

The total distance the mouse scurries:

3+2+3.6= 8.6 meters.

Step-by-step explanation:

We know that the mouse scurries 3 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. Then the mouse scurries 2 meters along the width of the kitchen to its other hole in the southeast corner.

We calculate diagonal of the kitchen:

d^2=3^2+2^2\\d^2=9+4\\d=\sqrt{13}\\d=3.6\,  m

The total distance the mouse scurries:

3+2+3.6= 8.6 meters.

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The length of a rectangle is 5in longer than its width. If the perimeter of the rectangle is 46in, find its area
Crank
<span>width = x
</span><span>length = x+5

2x + 2(x+5) = 46
2x + 2x + 10 = 46
4x = 46 - 10
4x = 36
x = 36/4 </span><span>
x = 9 in  </span> ←  width 

length = x+5 = 9 + 5 = 14 in
<span>
Area = 9 * 14 = 126 in</span>²<span>

</span>
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3 years ago
Cathy cut 2 apples into 6 slices each.She ate 9 slices.What expression matches the words?
olasank [31]
(6×2)-9=3
6×2=12
12-9=3
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3 years ago
Read 2 more answers
PLEASE HELP RIGHT AWAY!!
Katen [24]

Answer:

$17.35/h

Step-by-step explanation:

In order to get the amount per hour he made, you first need to calculate the global amount of money he made.

He was paid $2,900 then he had costs of $1,200, that leaves him a net income of $1,700 ($2,900 - $1,200)

Then he worked a total of 98 hours for that money.

A salary is an amount of money expressed by a period of time.  In this case, we'll use hours.

So, Jonah earned $1,700 after 98 hours of work:

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5 0
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When –9x” is divided by –3x3, x = 0, the quotient is
iragen [17]

Answer:

0

Step-by-step explanation:

-9 x 0 is 0 and dividing anything with 0 is 0

5 0
3 years ago
A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average
lisov135 [29]

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: R: (500, \infty)

Given that:

Phone = \$500

Monthly\ Plan = \$60

Let the number of months be t. So, the function C(t) is calculated as follows:

C(t) = Phone + Monthly\ Plan \times t

C(t) = 500 + 60 \times t

C(t) = 500 + 60t

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

C(0) = 500 + 60\times 0= 500 + 0 = 500

And the highest is \infty i.e. for a large value of t

So, we have:

C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty

Hence, the range of the function is:

R: (500, \infty)

Read more about range of functions at:

brainly.com/question/13824428

5 0
3 years ago
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