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3 years ago

Solve the equation -x/3=8 using the two step equation formula

1 answer:

5 0

$( - 1 \div 3) \times x = 8 \\ dividing \: both \:side \: by \: - 1 \div 3 \\ ( - 1 \div 3) \div (1 \div 3) \times x = 8 \div ( - 1 \div 3) \\ x = 8 \times - 3 \\ x = - 24$

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

Can someone please help me with this

tatiyna

Answer: -124

Step-by-step explanation: -83-41

subtract and it suppose to give you -124

7 0

3 years ago

Read 2 more answers

Which shapes are congruent?<br> (See attachment)

Andre45 [30]

Hello! Congruent figures are those with the same size and shape. With that being said, if you look at the shapes correctly, here are your answers:

Quad 1 & 2: Not Congruent
Quad 1 & 3: Congruent
Quad 1 & 4: Congruent
Quad 2 & 3: Not Congruent
Quad 2 & 4: Not Congruent
Quad 3 & 4: Congruent

3 0

4 years ago

Read 2 more answers

Anyone mind helping me solve this inequality? Step by step

dlinn [17]

By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

<h3>How to find the area of the composite figure?</h3>

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

15cm - 6cm = 9cm

Then its area is:

A' = 12cm*9cm/2 = 54cm²

This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

If you want to learn more about area:

brainly.com/question/24487155

#SPJ1

5 0

2 years ago

Please help me with this question

valentinak56 [21]

Radius= 33
Diameter = 66
Circumference = 207 yards
Area= 3,421 yards squared
Hope that helped :D

8 0

3 years ago