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2 years ago

A circle with radius of 5 sits inside a 11×11 rectangle. What is the area of the shaded region?

Mathematics

1 answer:

BigorU [14]2 years ago

6 0

If the shaded region is the area inside the rectangle but outside the square, then the area is 121-25pi or 42.4602

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Write an algebraic rule to describe the translation c (5,-4) c'(-2,1)

Sauron [17]

We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

5 0

2 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

2 years ago

What is 0.353 rounded to the nearest tenth

KengaRu [80]

0.4 .

Explanation
Rounding to the tenth, you look at the 2nd number after the period, if it’s greater than 5 or 5 itself u and 1 to the first number after the period. Back to the question 0.353 , the 2nd number after the period is 5, so u add 1 to the 1st number after the period with it’s 3 and 3+1=4. If you are rounding to tenth only leave one number after the period with gives you 0.4. Hopefully you get it.

4 0

2 years ago

Which numbers are between -7 and 2 on a number line? Circle all that apply.

sukhopar [10]

Answer: See below

Step-by-step explanation:

A. 2.1 No (2.1>2)

B. -1 Yes

C. 0 Yes

D. -7.5 No (-7.5<-7)

E. 3.5 No (3.5>2)

F. -6.4 Yes

G. -8 No (-8<-7)

5 0

2 years ago

Read 2 more answers

Jc bent 26.32 on 8 gallons of gas how much wood he spend for 20

dedylja [7]

1) divide 26.32 by 8 = 3.29
2) 3.29 x 20= 65.80
3) he would spend 65.80 on 20 gallons of gas

4 0

2 years ago