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zhannawk [14.2K]
3 years ago
14

Factor. 4x^2 - 20xy + 25y^2

Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0

Answer:

(2x-5y)^2

Step-by-step explanation:

4x^2 - 20xy + 25y^2=

(2x) ^2 - 2(2x)(5y)+(5y)^2 =(*)

(2x-5y)^2

(*) A^2 - 2AB+B^2 =(A-B)^2

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The square pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
frozen [14]

Answer:

A

Step-by-step explanation:

Since the pyramids are similar, the scale factor will be 3. So the height of the small pyramid is 6.3/3=2.1. The volume will be (1/3)*(2.1)*(2.3)^2=3.70

8 0
3 years ago
Suppose the diameter of a paint can is 6.2483 inches. What is the width of four paint cans on a shelf, to the nearest hundredth
Butoxors [25]

Given that diameter of a paint can is 6.2483.

And we are asked to find width of four paint cans on a shelf.

Since we can only place paint cans adjacent to each other on a shelf, Total width will be addition of diameters of four paint cans.

Hence width = 6.2483+6.2483+6.2483+6.2483

          = 24.9932 ≈ 24.99 inches( rounded off to nearest hundredth of an inch)

Hence correct option is 'A'.

3 0
4 years ago
A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?​
OleMash [197]

Answer:

The volume of the cone is 26\ cm^{3}

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2}h

In this problem we have that

V=78\ cm^{3}

so

78=\pi r^{2}h -----> equation A

The volume of a cone with the same radius and height is equal to

V=\frac{1}{3}(\pi r^{2}h) -----> equation B

Substitute equation A in equation B

V=\frac{1}{3}(78)

V=26\ cm^{3}

6 0
4 years ago
Please help, the question is on the picture.
Taya2010 [7]
X^2 + 14x + 17 = -96
x^2 + 14x + 113 = 0
x^2 + 14x + 49 + 64 = 0
(x + 7)^2 = -64
x + 7 = sqrt(-64) = + or - 8i
x = -7 + or - 8i
6 0
4 years ago
A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowe
jeka94

Answer:

\frac{1}{3}

Step-by-step explanation:

A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is \frac{2}{6}, but this can be simplified to \frac{1}{3}.

4 0
2 years ago
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