Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 12 feet and a height of 20 feet.
Container B has a diameter of 16 feet and a height of 12 feet. Container A.is
full of water and the water is pumped into Container B until Container A is
empty.
After the pumping is complete, what is the volume of the empty portion of
Container B, to the nearest tenth of a cubic foot?

Answer:

4x^2 - 14x + 19

Step-by-step explanation:  

A = LW

A = (2x-3) (2x-3)

4x^2 - 6x - 6x + 9

Combine like terms:

4x^2 - 12x + 9

-2(x - 5) (for both ovals)

(4x^2 - 12x + 9) -2(x - 5)

4x^2 - 12x + 9 - 2x + 10

Group then combine like terms:

4x^2 - 12x - 2x + 10 + 9

4x^2 - 14x + 19

Sorry for being 10 days late but here is the answer for anybody that needs this! :D

.74 m

Step-by-step explanation:

2.8=3.14×1.1^2×h do divide 2.8 by 3.14 then by 1.21 and you are left with the height.

Answer:

25.899sq.metres

Step-by-step explanation:

Area of this section of wood = Area of the sector

Area of the sector = theta/360 * πr²

r is the radius

theta is the central angle

Substitute

Area of the sector = 85.3/360 * πr²

Area of the sector = 85.3/360 * 3.14(5.90)²

Area of the sector = 85.3/360 * 109.3034

Area of the sector = 9,323.58002/360

Area of the sector = 25.899

Hence the area of the section of wood  is 25.899sq.metres

Answer:

3π

Step-by-step explanation:

period = 3π

An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Let we take:

m = number of calories per buiscuit that Jonathan eats.

Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.

Let k = number of calories per package of pemmican, then:

for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.

Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.

or, we get:

[tex]y = mx + 6k[/tex]

Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

4,140 degrees

Step-by-step explanation:

Mathematically, the sum of interior angles of a polygon is;

(n-2)180

where n is the number of sides the polygon has

Mathematically;

we will be replacing n by 25 here

So, we have;

(25-2)180

= 23 * 180 = 4,140 degrees

Answer:25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

because you have to multiply to get the parentheses off.

Answer:

its b

Step-by-step explanation:

Answer:

Acute and isosceles

Step-by-step explanation:

Acute triangle because with all sides equal, all the angles are acute

Isosceles triangles have (at least) 2 equal sides. This is actually an equilateral triangle, where all 3 are equal. A scalene triangle has 3 unequal sides.

Answer:

your did too?

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

3/3

Answer:

Step-by-step explanation:

Inscribed angle = 130°/2 = 65°

Answer:

this is your answer of your question.

Similarity statement for the pairs of triangles are

Triangle CJA ~ triangle EBA

Triangle RYT ~ triangle RME

Triangle TOL ~ triangle DAL

Triangle OEW ~ triangle OET ~ triangle TOW

A similarity statement is a statement that indicates that two or more geometric figures are similar to each other. It expresses the relationship between corresponding angles and corresponding sides of the figures.

The corresponding sides are

Triangle CJA ~ triangle EBA: AJ / AR  = AC/AE

Triangle OEW ~ triangle OET ~ triangle TOW: OE/EW = ET/OE = OT / OW

Learn more about similarity statement at

https://brainly.com/question/12574220

#SPJ6

Answer:

addition property of equality

Step-by-step explanation:

Answer: 54

Total = 90

x : y = 2: 3

5p = 90

1p= 90/5= 18

Larger Angle= =18*3= 54

Answer:

180

Step-by-step explanation:

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

Answer:

1.

Equation: y = -4x + 7

Slope: -4

y-intercept = 7

2.

Equation: y = 2/3x - 3

Slope: 2/3

y - intercept: -3

3.

Equation: y = 5/4x - 3/2

Slope: 5/4

y - intercept: -3/2

4.

Equation: y = -1/2x + 4

Slope: -1/2x

y - intercept: 4

Answer:

A i did this one already

Step-by-step explanation:

Answer:

it's so hard ain't it

Step-by-step explanation:

Answer:wow

Step-by-step explanation:

This is honestly amazing 10/10

Answer:

12.5%

Step-by-step explanation:

% of change = the difference between the new price and the old price ÷ the old price × 100

=> % of change = (18.9 - 16.8) ÷ 16.8 × 100 = 12.5

=> The ans will be 12.5%

Answer:

-3<x<-1

Step-by-step explanation:

Areas under the x-axis have y-values less than 0.

As you can see in the graph, the equation is under the x-axis between -1 and -3 on the x-axis.

-1 and -3 are not included because they are exactly on 0 on the y-axis and the question is asking for numbers that are LESS than 0.

Answer:

3m:20m

Step-by-step explanation:

2km to m = 2000

300:2000

(divide both sides by 100)

300/100=3

2000/100=20

3:20

Answer:

3 : 20

Step-by-step explanation:

2km = 2000

Ratio:

300 : 2000 =

150 : 1000 =

75 : 500 =

15 : 100 =

3 : 20

Given:

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.

Height of the prism is 14 feet.

To find:

The volume of the triangular prism.

Solution:

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times b\times h[/tex]

Where, b is base and h is height of the triangle.

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:

[tex]B=\dfrac{1}{2}\times 16\times 4[/tex]

[tex]B=32[/tex]

Now, the volume of a triangular prism is:

[tex]V=Bh[/tex]

Where, B is base area and h is the height.

Putting [tex]B=32,h=14[/tex] in the above formula, we get

[tex]V=32\times 14[/tex]

[tex]V=448[/tex]

Therefore, the volume of the triangular prism is 448 cubic feet.

Answer: BC = 5.83

Step-by-step explanation:

Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:

AB = 5

AC = 3

BC = ?

To find BC, we can simply use the Pythagorean Theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex]

5^2 + 3^2 = c^2

25 + 9 = c^2

34 = c^2

Now square root to find c, or BC.

[tex]\sqrt{34}=\sqrt{c^{2} }[/tex]

c = 5.83 (rounded by nearest hundredth)