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3 years ago

Camille placed blocks on a table in rows and columns. All the rows and columns had the same

1 answer:

7 0

If all the rows and columns have the some number of blocks, then

(number of blocks in each row) times (number of blocks in each column)

must be a perfect square.

'121' is the only choice on the list that's a perfect square. It's the square of 11.

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Find the length of c using the Pythagorean theorem

Nadya [2.5K]

Answer:

Step-by-step explanation:

The Pythagorean theorem state

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

7 0

3 years ago

The two quantities are in proportion. Find the missing value.

kirill115 [55]

Answer:

297

Step-by-step explanation:

Since we have to make 9 as the whole, and 33 is the denominator to make 9, we need to multiply 9*33=297.

This makes no sense if you hear it. But trust me it is the right answer i think.

7 0

3 years ago

Please help!! (look at the image to help me).

shtirl [24]

Answer:

it is A

Step-by-step explanation:

8 0

3 years ago

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Use the shell method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions

Marina CMI [18]

Answer:

44.18 cubic unit

Step-by-step explanation:

The intersection of the curve $y = x^2$ and $y = 8-x^2$ is

$x^2 = 8 - x^2$

$2x^2 = 8$

$x^2 = 4$

$x = \pm 2$

Since we are rotating the region where $x \geq 0.5$ we will use the intersection x = 2 and y = 4

Using the shell method with x ranges from 0.5 to 2. The volume of the shell would be

$V = \int\limits^2_{0.5} {2\pi x h} \, dx$

where h is the difference between the y-coordinates of the curves, in other words

$h = 8 - x^2 - x^2 = 8 - 2x^2$

Plug h into the V integral and we have

$V = \int\limits^2_{0.5} {2\pi x (8 - 2x^2)} \, dx\\V = 4\pi\int\limits^2_{0.5} {(4x - x^3)} \, dx\\V = 4\pi[2x^2 - x^4/4]^2_{0.5}\\V = 4\pi(2*2^2 - 2^4/4 - 2*0.5^2 + 0.5^4/4)\\V = 4\pi(8 - 4 - 0.5 + 0.015625) \approx 44.18$

7 0

3 years ago

Find the slope of the line through the pair of points by using the slope formula.

stiks02 [169]

Answer:

y = 3x -18 (i added a graph)

Step-by-step explanation:

in order to find the slope you could do y2-y1/x2-x1

-6/4 - 3/7

-9/-3 = 3

and if you want to find the y-intercept:

-6 - 3 = -9

4 - 1 = 3

(3,-9)

-9 - 3 = -12

3 - 1 = 2

(2,-12)

-12 - 3 = -15

2 - 1 = 1

(1,-15)

-15 - 3 = -18

1 - 1 = 0

(0,-18)

therefore, the y-intercept is -18

8 0

3 years ago

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