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xz_007 [3.2K]
3 years ago
10

At lunch Claire is drinking her juice out of an aluminum can She claims that if the radius of the can is doubled, the volume of

the can will be greater than if the height of the can is doubled
Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Can is shaped in the form of a cylinder :

Volume, V of a cylinder = πr²h

Volume if radius is doubled and height remains the same :

r = 2r

V = π(2r)²h

V = 4πr²h

Volume if height is doubled and radius remains the same ;

V = πr²h

If h = 2h

V = 2πr²h

Radius doubled ; V = 4πr²h

Height doubled ; V = 2πr²h

Hence, volume of can is greater with Radius doubled than with height doubled.

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Find the value of x. If​ necessary, write your answer in simplest radical form. 8 x 2
fenix001 [56]

Answer:

8 · 2 or 8x² or 8x2

Step-by-step explanation:

3 0
3 years ago
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
topjm [15]
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°
4 0
3 years ago
Just give me answer
atroni [7]

By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).

<h3>How to find the image of a triangle</h3>

A dilation is a type of <em>rigid</em> transformation. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distances are conserved.

There is a triangle and its image must be a triangle, the <em>new</em> triangle is found by transforming the three vertices of the prior one following this formula:

A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)]     (1)

Where:

  • P(x, y) - Center of reflection.
  • A(x, y) - Original vertex
  • A'(x, y) - New vertex
  • k - Dilation factor

If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:

Point A

A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]

A'(x, y) = (-12, 0)

Point B

B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]

B'(x, y) = (0, -9)

Point C

C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]

C'(x, y) = (-12, -9)

Lastly, we draw the two triangles, which are presented in the image attached below.

To learn more on dilations: brainly.com/question/13176891

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6 0
2 years ago
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What is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial
gizmo_the_mogwai [7]

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

<h3>What is a polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)

=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6

= -4x⁴+11x³-5x²+6

Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

Learn more about Polynomial here:

brainly.com/question/17822016

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1 year ago
Please help i’ll give brainliest
marta [7]

Answer:

the answer is b

Step-by-step explanation:

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