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2 years ago

14

PLEASE HELP! ASAP!!! Suppose you know two angles, angel A and Angle B, are supplementary. The measure of angle A is 5 times the

measure of angle B. Find the measures of the angles. Show your work.

1 answer:

hichkok12 [17]2 years ago

6 0

Answer:

B = 30 A= 150

Step-by-step explanation:

There are two unknowns therefore you need two parameters in order to solve.

5B=A

A+B=180

6B=180

B=30

A=150

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You are paid $82.50 for 7 1/2 hours of work, whats is your rate of pay?

ra1l [238]

Answer:

Rate of Pay is $11 per hour.

Step-by-step explanation:

Cost of $7\frac{1}{2}\:hr$ of work = $ 82.50

To find: Rate of pay

Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.

$7\frac{1}{2}=\frac{7\times2+1}{2}=\frac{15}{2}$

⇒ Cost of $\frac{15}{2}\;hr$ of work = $ 82.50

Cost of 1 hr of work = $\frac{82.50}{\frac{15}{2}}$

= $\frac{82.50\times2}{15}$

= $\frac{165}{15}$

= $ 11

Therefore, Rate of Pay is $11 per hour.

5 0

3 years ago

Read 2 more answers

Solve the system of linear equations by substitution.<br> 3x + y = -9<br> y=5x+7

11Alexandr11 [23.1K]

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

8 0

2 years ago

Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

Alinara [238K]

C) $694.25

Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:

400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25

Then u add the interests together:
28+16.25 = 44.25

Finally you add that to the amount you started with:
$650+$44.25= $694.25

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2 years ago

Solve for the roots in simplest form using the quadratic formula:

Softa [21]

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

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2 years ago

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with

NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

$\frac{7}{8} = 0.875$

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

$= \frac{7}{8 - 7}$

= 7

(c) Average time in minutes before service

= λ/[μ(μ - λ)]

$= \frac{7}{8(8 - 7)}$

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

$= \frac{1}{(8 - 7)}$

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

${7}{8}$

= 0.875

5 0

3 years ago