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Tasya [4]
2 years ago
8

Cindy's cylindrical paint bucket has a diameter of 12 inches and a height of 14.5 inches. If 1 gallon =

dn.net/?f=231%20inches%5E3" id="TexFormula1" title="231 inches^3" alt="231 inches^3" align="absmiddle" class="latex-formula"> how many gallons does her paint bucket hold
Base area:_____

volume of bucket:______

# of gallons =_______

Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Answer:

Base area is 113.14 inches²

Volume is 1640.75 inches²

Number of gallons is 7.1 gallons

Step-by-step explanation:

Please refer to the attached image for explanations

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Classify the triangle by side length and angle measurement
sveta [45]

Answer:

this triangle seems to be an isosceles, obtuse triangle

5 0
2 years ago
The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i
Marianna [84]

Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

3 0
1 year ago
Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y
galben [10]

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

m_1*m_2=-1

m_1 in this instance would be 1/0, so we can substitute it into the equation:

\frac{1}{0} *m_2=-1

Multiply both sides by 0

m_2=0

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

5 0
2 years ago
In an older television set, the screen height is 0.75 times the screen width.
natima [27]
The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2

Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w

Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16

This means that the width of the screen is 16 in. 
5 0
3 years ago
What kind of angles are they
Yuliya22 [10]

Answer:

Alternate Interior Angles

Step-by-step explanation:

The angles are on opposite sides of the transversal and are in between the parallel lines. This means they are alternate Interior Angles. Additionally, this means they are congruent, so 15x=12x+15, which gives us x=5, and the measurements of the angles are 75° each.

3 0
3 years ago
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