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3 years ago

What is the circumference of a circle circumscribed around a rectangle with sides 10 cm and 24 cm?

1 answer:

6 0

If you can picture it , or sketch it. The diagonal of the rectangle (line connecting opposite corners) is the diameter of the circle. You can find the diagonal by using the Pythagorean theorem for a right triangle. The diagonal would be the hypotenuse.

10^2 + 24^2 = 676
sqrt(676) = 26

The formula for circumference is: diameter times pi.

C = 26pi

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The length of a rectangle is 3.5 inches more tan its width. The perimeter of the rectangle is 31 inches. Find the length and the

leonid [27]

Length (L): w + 3.5

width (w): w

Perimeter (P) = 2L + 2w

31 = 2(w + 3.5) + 2(w)

31 = 2w + 7 + 2w

31 = 4w + 7

24 = 4w

6 = w

Length (L): w + 3.5 = (6) + 3.5 = 9.5

Answer: width = 6 inches, length = 9.5 inches

8 0

3 years ago

Which of the following expressions represents the least common multiple of 15, 18, and 25?

Virty [35]

Answer:

$(2)(3^2)(5^2)$

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

$15=(3)(5)$

$18=(2)(3^2)$

$25=(5^2)$

Multiply common and uncommon numbers with their greatest exponent

The LCM is equal to

$LCM=(2)(3^2)(5^2)$

$LCM=450$

7 0

3 years ago

Ten times the quotient of 104 and 8

GREYUIT [131]

104 ÷ 8 = 13
13 x 10 = 130
Answer: 130

If you need information about the quotient, it is the answer to 2 numbers divided together. For example, the quotient of 999 and 111 is 9, because 999 ÷111 =9

5 0

3 years ago

Read 2 more answers

3. What is the slope of the line through the points (2, 5) and (6, 13)?

White raven [17]

Answer:

m = 2

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{13-5}{6-2}=\frac{8}{4}=\boxed{2}$

Hope this helps.

8 0

3 years ago

Solve<br> 2X-3(x+4)=3x-4

Phoenix [80]

Answer: x=4

Step-by-step explanation:

2x-3(x+4)=3x-4

distribute 2x-3x-12=3x-4

combine like terms 5x-12=3x-4

Move everything to one side 2x-8=0

Get x by itself 2x=8

Divide by 2 x=4

6 0

2 years ago