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Sedaia [141]
3 years ago
15

Find the exact value of csc 240° in simplest form with a rational denominator.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

-2*sqrt(3)/3

Step-by-step explanation:

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Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is of
gavmur [86]

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

3 0
3 years ago
Family has an annual income of ​$23 comma 400. Of​ this, one fourth
denis23 [38]

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = 1/4 \times 23400

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = 1/5 \times23400

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = 1/10 \times 23400 = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = 1/9\times 23400 = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  1/4 \times 23400 =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

5 0
3 years ago
For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of
allochka39001 [22]

Answer:

There are 24 right handed students

Step-by-step explanation:

This is a ratio question so it would be represented as 1:4.

First you would do 1 + 4 which is 5.

Then do 30 ÷ 5 which is 6.

Finally multiply 6 by 4 and 1.

So 6 × 4 × 1 is 24.

So there are 24 students who are right handed.

Hope this makes sense!

4 0
3 years ago
Jane can complete a sales route​ by herself in 4 hours. Dave can do the same job in 7 hours. How long will it take them to do it
Nataliya [291]
T/4+t/7=1
28(t/4+t/7)=1
7t+4t=28
11t=28
t=28/11
4 0
4 years ago
How do i solve -6=b/18
asambeis [7]

Answer: b= -108

Step-by-step explanation:

-6=b/18

-6=b/2(3)^2

-18(6)=b

-108=b

b= -108

*<u><em>I hope that this makes sense :)</em></u>

3 0
3 years ago
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