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2 years ago

HELPPP PLEASEEEEE

Mathematics

2 answers:

astraxan [27]2 years ago

7 0

The difference in volumes between cube and cone is 5190.52 cubic units.

<h3>How to find the volume of a cube?</h3>

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

The height is 20 cm and the radius will be

$D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1$

volume of that cone

$V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3$

= $V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3$

= 59190.52 cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

Learn more about the volume of a cube here:

brainly.com/question/26136041

#SPJ2

melamori03 [73]2 years ago

4 0

Answer:

5906

Step-by-step explanation:

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Scilla [17]

Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65

Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.

5 0

3 years ago

Read 2 more answers

Which equation represents a line that passes through the two points in the

Andreyy89

Answer:

Y-1=5/3(x-3) (aka b)

Step-by-step explanation:

7 0

3 years ago

For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x

Alla [95]

The correct answer is:

D) $\left \{ {{2x-y=7} \atop {2x+7y=31}} \right.$ .

Explanation:

We solve each system to find the correct answer.

For A:
$\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.$

Since we have the coefficients of both variables the same, we will use elimination to solve this.

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
$\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. 
\\
\\6x=23$

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is not the x-coordinate of the answer we are looking for, so A is not correct.

For B:
$\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.$

For this equation, it will be easier to isolate a variable and use substitution, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is not the y-coordinate of the answer we're looking for, so B is not correct.

For C:
Since the coefficient of x in the second equation is 1, we will use substitution again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is not the y-coordinate of the answer we're looking for, so C is not correct.

For D:
Since the coefficients of x are the same in each equation, we will use elimination. We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

$\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. 
\\
\\-8y=-24$

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so D is the correct answer.

7 0

3 years ago

−5 < y ≤ 0 y is an integer. (b) Write down all the possible values of y.

kramer

The answer is b correct

6 0

2 years ago

10d - 6d = 4 find what d equals

Nutka1998 [239]

Answer:

$\huge\boxed{\sf d = 1}$