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adoni [48]
3 years ago
11

Question:

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

We know that 24 is 160% more than some recommended number, let's call it "x." This means 1.6 times the recommended number equals 24. Therefore, all we need to do is solve for x.

1.6x=24

x=\frac{24}{1.6}

Make sense?


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Formula for the surface area of a cylinder, SA = 2ar2 + 2arh. Solve for h.
MakcuM [25]

Answer:

h=\frac{SA-2\pi r^2}{2\pi r}

Step-by-step explanation:

The formula for the surface area of a cylinder is:

SA=2\pi r^2+2\pi rh

And we want to solve for the height h.

First, subtract 2\pi r^2 from both sides. This yields:

2\pi rh=SA-2\pi r^2

Now, divide both sides by 2\pi r. This yields:

h=\frac{SA-2\pi r^2}{2\pi r}

And we're done!

8 0
3 years ago
If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to
chubhunter [2.5K]

Answer:

4

Step-by-step explanation:

Given

x² - 4x + 10 = 0

subtract 10 from both sides

x² - 4x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 10 + 4

(x - 2)² = - 6

To complete the square add 4

5 0
3 years ago
On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater
Juliette [100K]

Answer:

Option D: 12\frac{1}{2} is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to 7\frac{1}{2} miles

We will find the unit rate in term of inches.

\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch

Total distance covered by Bonnie according to map;

Total distance = \frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}

Total distance = \frac{5}{4}\ miles

Actual distance = \frac{5}{4}*10 = \frac{25}{2}\ miles \\

Actual distance = 12\frac{1}{2}\ miles

Hence,

Option D: 12\frac{1}{2} is the correct answer.

8 0
3 years ago
Find height of triangle given hypotenuse and angle
harkovskaia [24]
Given h is the height, H is the hypotenuse and A is the base angle,
then Sin(A) = h/H
so h = HSin(A)
7 0
3 years ago
Carson buys 4 pounds of peaches for $12. How much did he spend per pound?
Inessa [10]

Answer: $3 per pound

Step-by-step explanation:

Since Carson buys 4 pounds of peaches for $12, you can find the value of one pound by dividing 4 by 4. You must also divide the 12 by 4. In conclusion, you pay $3 per pound.

7 0
3 years ago
Read 2 more answers
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