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3 years ago

1. 4x+3(5y+x)= 2. 7(a−3+4b)= 3. 13+(x+8)= 4. (x)(6+x)−2x=

Mathematics

1 answer:

yanalaym [24]3 years ago

4 0

I cannot simplify these to where I have one answer.

4x+3(5y+x)

4x+15y+3x

7x+15y

7(a-3+4b)

7a-21+28b

13+x+8

21+x

x(6+x)-2x

6x+x-2x

7x-2x

---

hope it helps

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The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

wolverine [178]

The volume of the composite figure is 263.76 inches³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is

V = πr²h ⇒ Bh

The volume of a cone of radius r and height h is

V = $\frac{1}{3}$ πr²h ⇒ $\frac{1}{3}$ Bh

The volume of a sphere with radius r is

V = $\frac{4}{3}$ πr³

∵ The figure is made up of a cylinder, a cone, and a half sphere

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ π = 3.14

- Use the rule of the volume of the cylinder above

∴ The volume of the cylinder = (3.14)(3)²(6)

∴ The volume of the cylinder = 169.56 inches³

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ π = 3.14

- Use the rule of the volume of the cone above

∴ The volume of the cone = $\frac{1}{3}(3.14)(3)^{2}(4)$

∴ The volume of the cone = 37.68 inches³

∵ The radius of the half sphere = 3 inches

∵ π = 3.14

- Use the rule of the volume of the sphere above to find the

volume of the half sphere

∴ The volume of half sphere = $(\frac{1}{2})(\frac{4}{3})(3.14)(3)^{3}$

∴ The volume of half sphere = 56.52 inches³

To find the volume of the composite figure add the volumes of the three shapes above

∵ The volume of the composite figure = 169.56 + 37.68 + 56.52

∴ The volume of the composite figure = 263.76 inches³

The volume of the composite figure is 263.76 inches³

Learn more:

You can learn more about the volume in brainly.com/question/12497249

#LearnwithBrainly

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4 years ago

Read 2 more answers

A store has clearance items that have been marked down by 40%. They are having a sale, advertising an additional 45% off clearan

Olegator [25]

Answer:

$P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o$

So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:

$\% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%$

Step-by-step explanation:

First we have a first discount of 40% so then using this condition and assuming that $P_o$ represent the initial price, the price after the first discount $P_1$ is given by:

$P_1 = (1-0.4) P_o =0.6P_o$

That means 60% of the original value.

Now we have another discount of 45% for the 60% reamining after a 2 discount so let's $P_2$ represent the price after the second disccount we can can express this price in terms of $P_1$ or $P_o$ liek this:

$P_2 = (1-0.45) P_1=0.55 P_1$

$P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o$

So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:

$\% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%$

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3 years ago

Find each quotient and express it in rectangular form.

uranmaximum [27]

Answer:

A. thats the answer

Step-by-step explanation:

carry on learning

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2 years ago

How do you turn a mixed number into an improper fraction?

givi [52]

Multiply the denominator by the whole number, then add the numerator. That's your top number...numerator stays the same. Easiest way I learned it.

2 4/5 = 5*2=10+4=14 Answer= 14/5 (Example)

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3 years ago

Whats a like term for this equation 1/7-3(3/7 times n - 2/7) pleaseee help

Rama09 [41]

Answer:

All the numbers with the same variable(or none), or in this case 1/7, 3/7, 2/7 are like terms.

Step-by-step explanation:

n is a variable that all other number does not have.

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4 years ago