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taurus [48]
3 years ago
6

The volume of a right cylinder is 684T cubic inches and the height is 18 inches. Find the radius.

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

Day 1 ... 17 ft. 18. 8 ft. 15 m. 1440 - 158: X. X = 12 | nga +a2. 15:a A. V-B: H. 30 = 158X. C-X ... Find the radius. ... A right circular cylinder has a volume of 2.000 cubic inches and a height of the.

Step-by-step explanation:

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1. Solve. 3(h – 4) = –1/2(24 – 6h)<br><br> 2. Solve for x. ax + bx = –c
Naddik [55]
ANSWER TO QUESTION 1

3(h-4) = - \frac{1}{2} (24 - 6h)

We multiply through by the Least Common Multiple which is 2.

2 \times 3(h-4) = - 2 \times \frac{1}{2} (24 - 6h)

6(h - 4) = - 1(24 - 6h)

We expand brackets to obtain,

6h - 24 = - 24 + 6h

Grouping like terms, have

6h - 6h = - 24 + 24

\Rightarrow 0 = 0

Whenever you solve an equation and you get the above result, you don't have to get confuse.

It simply means the question does not have a UNIQUE solution.

That any real number will number will satisfy the above equation.

Hence,

h \in R




ANSWER TO QUESTION 2

ax + bx = - c

We factor x to obtain;

x(a + b) = - c

We divide both sides by (a+b)

x = - \frac{ c}{a + b}
3 0
3 years ago
Plz Help! I need this ASAP! I will give brainlest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
viktelen [127]

7)  164.26

8)77.08

9)2405.364

steps for 7) attached

steps for 8)

7 0
3 years ago
What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina’s rate in mil
luda_lava [24]

Step-by-step explanation:

So first off we want to find out how many miles Nina can ride in 3,600

For this we have to convert 63,360 feet into miles

If there are 5,280 feet in one mile than we need to see how many times 5,280 goes in to 63,360

divide 63,360 by 5,280: you get 12

This means that she can bike 12 miles in 3,600 seconds

3,600 seconds is the same as an hour

Answer:

Nina can bike 12 miles per hour

5 0
3 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12 ?
kifflom [539]

We can simplify the expression with patience and a little mathematical tinkering.

The simplified expression is shown in the attached picture, along with more information obtained about your expression.

The objective is to add similar terms and fractions and group them together to form a solution in a compact, elegant form.

6 0
3 years ago
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