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3 years ago

Solve for h in the mathematical formula SA=2pie r^2 + 2pie rh

Mathematics

1 answer:

Lena [83]3 years ago

6 0

$\bf SA=2\pi r^2+2\pi rh\implies SA-2\pi r^2=2\pi rh\implies \cfrac{SA-2\pi r^2}{2\pi r}=h$

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In a jar there are 3 yellow candies, 3 blue candies, and 2 orange candies. What percent of the jar is filled with orange candies

Nastasia [14]

Answer: 25 percent of the jar is filled with orange candies

Step-by-step explanation:

In the jar, there are 3 yellow candies, 3 blue candies, and 2 orange candies. This means that the total number of candies inside the jar would be the sum of the yellow, blue and orange candies. It becomes

3 + 3 + 2 = 8 candies.

The percent of the jar filled with orange candies would be expressed as

number of orange candies/total number of candies × 100

It becomes

2/8 × 100 = 25%

4 0

3 years ago

Simplify the expression. Write answer without spaces between terms and signs.

dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0

3 years ago

Read 2 more answers

Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the consta

Mrac [35]

V = x/t = 4.5 mil / 3 h = 1.5 mph
Since, v = 1.5 mph (or we can say that v is constant), distance and time vary directly and the constant of variation is 1.5 mph.

3 0

3 years ago

Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok

lana66690 [7]

The expression that describes the number of tickets won by Lily is:

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

Solution:

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

Given that Louis won 4.5 times as many tokens as Ben

So we can frame a equation as:

number of tokens won by Louis = 4.5 times as many tokens as Ben

number of tokens won by Louis = 4.5 x number of tokens won by Ben

$b = 4.5 \times c$

b = 4.5c

Given that Lily won 8 more tokens than Louis

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0

3 years ago

Find the product of 2x^4(4x^2 + 3x + 1).

lianna [129]

We want to find the product:

$\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)$ .

By the $\text{Distributive property}$ , we distribute $2x^4$ over each of the three terms inside the parenthesis:

$\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)=2x^4\cdot4x^2+2x^4\cdot3x+2x^4\cdot1$ .

Multiplying the coefficients, and adding the exponents we get:

$8x^6+6x^5+2x^4$ .

Answer: $8x^6+6x^5+2x^4$ .

5 0

4 years ago