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3 years ago

Solve for angle C please

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

13.3 cm

Step-by-step explanation:

We can use the Pythagoream Theorem to identify any missing angles!

$a^{2} +b^2=c^2$

In this case, will leave c for a^2!

$a^2+20^2=24^2$

$a^2+400=576$

$576-400=a^2$

$a^2=176$

$\sqrt{176} = 13.3$

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A cylinder. A is the height, B is the base, C is the diameter, D is the radius.

sweet [91]

Answer:

Answer:

The given item soup can is a cylinder.

The volume of the cylinder is given as :

Here 'h' is the height and 'r' is the radius.

So, the true statements are:

B) The volume is the area of the base times the height - The base of the cylinder is circular and the area of the circle is , so the volume is the area of base multiplied by height.

C) Given the radius or the diameter, you can calculate the area of the base of a cylinder - Yes as the area is where 'r' is the radius.

D) The height of a cylinder is the distance between the 2 parallel bases. Yes this is right.

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Janelle fired a projectile and measured its range. Shehypothesizes that if the magnitude of the initial velocity is doubled and

anyanavicka [17]

Answer:

Step-by-step explanation:

If the projectile lands at the same height it was launched from, then its time of flight will be proportional to the vertical speed. Its horizontal distance will be the product of its horizontal speed and its time of flight, so will be proportional to the square of the velocity.

If the velocity is doubled, the projectile can be expected to travel 2² = 4 times as far, not twice as far.

6 0

3 years ago

Solve for the value of each letter.

creativ13 [48]

Answer:

Step-by-step explanation:

1] 6x + 10 = 28 {subtract 10 from both sides}

6x + 10 -10 = 28 - 10

6x = 18 {Divide both sides by 6}

6x/6 = 18/6

x = 3

2] -2m - 4 = 8 {Add 4 to both side}

-2m - 4 + 4 = 8 + 4

-2m = 12 {Divide both sides by -2}

-2m/-2 = 12/-2

m = -6

3] x + x + 2x = 48 {add the like terms}

4x = 48 {divide both sides by 4}

4x/4 = 48/4

x = 12

4] 3y +4 +3y - 6 = 34 {add the like terms}

6y - 2 = 34 {Add 2 to both side}

6y - 2 + 2 = 34 +2

6y = 36 {divide both sides by 6}

6y/6 = 36/6

y = 6

5]9(w - 6) = 36 {divide both sides by 9}

[9(w - 6)]/9 = 36/9

w - 6 = 4 {Add 6 to both sides}

w - 6 + 6 = 4 + 6

w = 10

4 0

3 years ago

Read 2 more answers

Alison bought 12 shares in The Toy Company when it cost $27. She is planning on selling her shares and they currently cost $39.5

Romashka-Z-Leto [24]

Answer:

46%

Step-by-step explanation:

Given :

Alison bought 12 shares in The Toy Company when it cost $27.

She is planning on selling her shares and they currently cost $39.50.

To Find: . What is the percent increase in sale price?

Solution :

Previous cost = $27

Current cost = $39.50

Increase in price = $39.50-$27=$12.5

Percent increase in sale price= $\frac{\text{increase in price} }{\text{original price}} *100$

= $\frac{\text{12.5} }{\text{27}} *100$

= $0.4629 *100$

= $46.29$

Thus Percent increase in sale price = 46%

Hence option C is correct

5 0

4 years ago

Read 2 more answers

Darlene has a balance of $3980 on a credit card with an APR of 22.8%. Paying off her balance in which of these lengths of time w

inna [77]

Answer:

The correct answer is D. 5 months

Step-by-step explanation:

Balance = P = $3980

Rate (r) = 22.8% ,

n is no. of times interest is calculated in one year n = 1

$Interest=P\cdot (1+\frac{r}{n\times 100})^{n\times time}\\\\\textbf{time = t = 8 months = }\frac{8}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{8}{12}}\\\\Interest=3980\times 1.228^{\frac{8}{12}}\\\\\implies Interest=\$\thinspace 4564.03\\\\\textbf{time = t = 6 months = }\frac{6}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{6}{12}}\\\\Interest=3980\times 1.228^{\frac{6}{12}}\\\\\implies Interest=\$\thinspace 4410.44$

$\textbf{time = t = 9 months = }\frac{9}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{9}{12}}\\\\Interest=3980\times 1.228^{\frac{9}{12}}\\\\\implies Interest=\$\thinspace 4642.82\\\\\textbf{time = t = 5 months = }\frac{5}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{5}{12}}\\\\Interest=3980\times 1.228^{\frac{5}{12}}\\\\\implies Interest=\$\thinspace 4335.60$

Hence, the least amount of interest is paid in time length of 5 months

So, Correct Option is D. 5 months

3 0

3 years ago