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Misha Larkins [42]
3 years ago
11

377. Dawn wants to compare the volume of a basketball with the

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Step-by-step explanation:

Dawn wants to compare the volume of a basketball with the  volume of a tennis ball.

Now, if the radius of the basketball is R and that of the tennis ball is r, then the formula that can be used to determine the volume of each ball will be

V = \frac{4}{3} \pi R^{3} and

v = \frac{4}{3} \pi r^{3}

Now, dividing V by v we can compare the volume of the basketball and the tennis ball. (Answer)

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mayelle earns $18000 a year. After a raise, she earns $19500. Find the percent change and if it’s a decrease or increase
Aneli [31]
Ok, it's all pretty much like the "$50 coat is on sale for $35". 

<span>If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: </span>
<span>$50 - $35 = $15 </span>

<span>You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). </span>

<span>You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: </span>
<span>$15 = X% of $50 </span>
<span>$15 = X% x $50 (divide both sides by 50 to isolate X) </span>
<span>15/50 = X% </span>
<span>.30 = X% (multiply by 100 to convert to a non-decimal) </span>
<span>30% = X </span>

<span>So, you can say all of the following and they all mean the same thing: </span>
<span>1. the $50 coat is on sale for $35 </span>
<span>2. the $50 coat is discounted by $15 </span>
<span>3. the $50 coat is reduced by $15 </span>
<span>4. you'll save $15 if you buy this coat </span>
<span>5. the $50 coat is on sale for 30% off </span>
<span>6. the $50 coat is discounted by 30% </span>
<span>7. you'll save 30% if you buy this coat </span>
<span>8. 30% savings! </span>
<span>9. Save 30%! </span>

<span>So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. </span>

<span>You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: </span>
<span>$1,500 = X% of $18,000 </span>
<span>1,500/18,000 = X% </span>
<span>.083333 = X% </span>
<span>8.3333% = X </span>

<span>One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: </span>

<span>$18,000 + (10% of $18,000) = </span>
<span>$18,000 + $1,800 = </span>
<span>$19,800 end of first year </span>

<span>For the second year, her salary begins at $19,800 and increases 10%, like this: </span>
<span>$19,800 + (10% x $19,800) = </span>
<span>$19,800 + $1,980 = </span>
<span>$21,780 end of second year </span>

<span>You can do it from here.</span>
8 0
3 years ago
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What is the value of x?​
guajiro [1.7K]

Answer:

x ≈ 8.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{10}

Multiply both sides by 10

10 × sin60° = x, thus

x ≈ 8.66 ( to 2 dec. places )

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3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Ivan

Answer:

D

Step-by-step explanation:

Just like with the last time you asked this question, the correct answer is D since the graph is slid 3 to the left. Hope this helps+

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<h3>Answer: C) none of the equations are identities</h3>

If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

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which is false.

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True or False? 92x - x = 92
maksim [4K]

Answer: False

Step-by-step explanation: 92x-x would be 91x.

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