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2 years ago

Solve the equation for the bold variable

Mathematics

1 answer:

evablogger [386]2 years ago

4 0

The answer to problem 14 is the equation c = 3i/e

To get this answer, you multiply both sides by 3 to undo the division of 3. Also, you divide both sides by 'e' to undo the multiplication of 'e'.

So it would look something like this

i = ec/3

3*i = 3*ec/3 ... multiply both sides by 3

3*i = ec

ec = 3i

ec/e = 3i/e ... divide both sides by e

c = 3i/e

==============================================

Problem 15)

P = 2L + 2W

2L + 2W = P

2L + 2W-2L = P-2L ... subtract 2L from both sides

2W = P-2L

2W/2 = (P-2L)/2 ... divide both sides by 2

W = (P-2L)/2

So the final answer is W = (P-2L)/2

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A spinner has 10 equally sized sections, 5 of which are gray and 5 of which are blue. The spinner is spun twice. What is the pro

zhenek [66]

Answer:

$P(Gray\ and\ Blue) = \frac{1}{4}$

Step-by-step explanation:

Given

$Sections = 10$

$n(Gray) = 5$

$n(Blue) = 5$

Required

Determine P(Gray and Blue)

Using probability formula;

$P(Gray\ and\ Blue) = P(Gray) * P(Blue)$

Calculating P(Gray)

$P(Gray) = \frac{n(Gray)}{Sections}$

$P(Gray) = \frac{5}{10}$

$P(Gray) = \frac{1}{2}$

Calculating P(Gray)

$P(Blue) = \frac{n(Blue)}{Sections}$

$P(Blue) = \frac{5}{10}$

$P(Blue) = \frac{1}{2}$

Substitute these values on the given formula

$P(Gray\ and\ Blue) = P(Gray) * P(Blue)$

$P(Gray\ and\ Blue) = \frac{1}{2} * \frac{1}{2}$

$P(Gray\ and\ Blue) = \frac{1}{4}$

3 0

3 years ago

Geometry area question. Please help!

timurjin [86]

You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * 3.4641 
area = 374.677056 square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / 2.3094 
area = 374.1231488698 square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm

5 0

2 years ago

What is the limit of the infinite series?

Ipatiy [6.2K]

Answer:

does not exist

Step-by-step explanation:

According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.

Applying the divergence test here:

lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4

This is not 0, so the series does not converge, meaning the sum does not exist.

7 0

3 years ago

8. There are 3 people who work full-time and are to work together on a project, but their total time on the project is to be equ

Mama L [17]

Answer:

1/6 of the third workers time

Step-by-step explanation:

one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time

Let x be the third workers time

Let the completed job time = 1

Time taken for 3 workers to complete the job = 1

$\frac{1}{2}+ \frac{1}{3} + x= 1$

now we solve for x

LCD = 2*3 = 6

We multiply the whole equation by 6

$\frac{1}{2}*6+ \frac{1}{3}*6 + x*6= *6$

3 + 2 +6x = 6

5 + 6x = 6

subtract 5 on both sides

6x = 1

divide both sides by 6

$x= \frac{1}{6}$

5 0

3 years ago

Will mark BRAINLIEST if correct! HURRY!!!!

laiz [17]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

3 0

3 years ago