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3 years ago

Find the smallest number by which 240 must be multiplied so that the product is a perfect square

Mathematics

1 answer:

Alina [70]3 years ago

7 0

Answer:

Step-by-step explanation:

First we will find the square root of 240

2 240

2 120

2 60

2 30

3 15

5 5

2×2×2×2×3×5

We will need 15 to make it a perfect square.

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True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b

Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = $\pi r\times l$ , where l is the length of the lateral side.

So, we get $L_{A}$ = $\pi r\times h$ .

Also, Lateral surface area of cylinder is $2\pi r\times h$ , where h is the height of the cylinder.

So, we get $L_{B}$ = $2\pi r\times h$

Thus, we see that, $L_{A}=\frac{1}{2}\times L_{B}$

Hence, the given statement is correct.

6 0

2 years ago

Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)

algol [13]

Answer:

-3c

Step-by-step explanation:

The given expression is:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}$

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

$\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c$

Thus, the given expression in simplified form is equal to -3c

5 0

2 years ago

Read 2 more answers

Jane is going to fence in her back yard. She has purchased 150 feet of

Alborosie

D. x+ 40 = 150 this is the answer

7 0

3 years ago

ASAP!!!!! Help please ‼️

ZanzabumX [31]

Answer: The answer should be 3.

Step-by-step explanation: You plug in 2 instead of X and that’s it. Then you calculate your equation, and receive your answer.

4 0

2 years ago

Read 2 more answers

Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2

lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93 (1)

2X + 4Y = 6.38 (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93) (1)

= 3 × (2X + 4Y = 6.38) (2)

= - (6X + 4Y = 9.86) (1)

= 6X + 12y = 19.14 (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0

2 years ago