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3 years ago

Monica is putting 12 1/2 pounds of potato salad into containers that each can hold 5/8 pound. How many containers does she need?

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

Step-by-step explanation:

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The given diagram can be used to prove the Pythagorean theorem. Which expression represents the total area of the largest square

Oksanka [162]

Answer:

C = a² + 2ab + b²

Step-by-step explanation:

From the diagram above,

Let the dimension of the square be

A (length) = (a + b) and B (breadth) = (a + b).

Area of the square is A*B

A * B = (a + b) * (a + b)

Area = a² + ab + ab + b²

Area = a² + 2ab + b².

Therefore the expression that defines the area of the square is a² + 2ab + b².

3 0

3 years ago

Read 2 more answers

Identify the prime factorization for the number 75.<br> A. 25 × 3<br> B. 2 5 × 3<br> C.5 2 x 3

Akimi4 [234]

A = 75
B = not sure
C = 156

So the answer is A. Hope it helps :)

8 0

3 years ago

The dimensions of a pet carrier is 20 inches

Sergeu [11.5K]

Answer:

2702.5 inches cubed

Step-by-step explanation:

$20$ x $11\frac{3}{4}$ x $11\frac{1}{2}$ = 2702.5

3 0

3 years ago

Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$