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3 years ago

15

When solving for a variable in an equation, it is important to complete a 'goals' list so you can..."

1 answer:

DanielleElmas [232]3 years ago

3 0

You must follow Mathematical properties and apply it with your logic, so E is the answer

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Four consecutive even integers sum to 244

monitta

Answer:

58 + 60 +62 +64 =244

Step-by-step explanation:

Let x be an even integer. The next three would be shown as x+x+2+x+4+x+6=244 Combine all like terms

4x + 12=244 subtract 12 from both sides

4x = 232 divide each side by 4

x=58 so now your numbers are the above given

5 0

3 years ago

Yung is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modele

mihalych1998 [28]

The general form for a parabolic dish is:

y=x^2/(4f), where f=focus' y coordinate when x=0

So if you are given the equation:

8y=x^2, you need only to rearrange it to the form y=x^2/(4f)

y=x^2/8

Since 8=4f, f=2 inches and the focal point of course (0,2)

5 0

3 years ago

Read 2 more answers

Arrange the cones in order from lease volume to greatest volume

bearhunter [10]

Answer:

Volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let $V_{2}. V_{3}. and\ V_{4}.$ be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

$d_{1} = 20\ and\ h_{1}=12$

$d_{2} = 18\ and\ h_{2}=10$

$r_{3} = 10\ and\ h_{3}=9$

$r_{4} = 11\ and\ h_{14}=9$

Arrange the cones in order from lease volume to greatest volume.

Solution:

The volume of the cone is given below.

$V=\pi r^{2} \frac{h}{3}$ ----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

The volume of the cone for $d_{1} = 20\ and\ h_{1}=12$

$r_{1} = \frac{d_{1}}{2}$

$r_{1} = \frac{20}{2}=10\ units$

$V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}$

$V_{1}=\pi (10)^{2} \frac{12}{3}$

$V_{1}=\pi\times 100\times 4$

$V_{1}=400\pi\ units^{3}$

Similarly, for volume of the cone for $d_{2} = 18\ and\ h_{2}=10$

$r_{2} = \frac{d_{2}}{2}$

$r_{2} = \frac{18}{2}=9\ units$

$V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}$

$V_{2}=\pi (9)^{2} \frac{10}{3}$

$V_{2}=\pi\times 81\times \frac{10}{3}$

$V_{2}=\pi\times 27\times 10$

$V_{2}=270\pi\ units^{3}$

Similarly, for volume of the cone for $r_{3} = 10\ and\ h_{3}=9$

$V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}$

$V_{3}=\pi (10)^{2} \frac{9}{3}$

$V_{3}=\pi\times 100\times 3$

$V_{3}=\pi\times 300$

$V_{3}=300\pi\ units^{3}$

Similarly, for volume of the cone for $r_{4} = 11\ and\ h_{4}=9$

$V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}$

$V_{4}=\pi (11)^{2} \frac{9}{3}$

$V_{4}=\pi\times 121\times 3$

$V_{4}=\pi\times 363$

$V_{4}=363\pi\ units^{3}$

So, the volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

7 0

3 years ago

How can you know if this equation is true?<br><br> 12+38=410=25

Aleonysh [2.5K]

Answer: that’s literally not even a valid equation. It literally Basically says 410 Is equal to 25. When is incredibly false

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Bella Decided to repaint her room. She mixed

natka813 [3]

Answer:

1.5 liter of paint was left to paint her door .

7 0

3 years ago