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Shtirlitz [24]
3 years ago
12

osha requires a ladder to meet the ground at 75 degree angle in order to function as safely as possible. of you need the ladder

to reach a ledge 20 feet up a vertical wall, how long does the ladder need to be?
Mathematics
1 answer:
VMariaS [17]3 years ago
8 0
Draw a right triangle with a right angle and a 75 deg angle at the bottom.
The hypotenuse is the length of the ladder.

sin A = opp/hyp

sin 75 = 20/hyp

hyp = 20/sin 75 = 20.7

Answer: 20.7 ft
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Hope someone can help me
Advocard [28]

Hi!

Let's find out how much he has to pay for each of the deals.

Deal 1

£1.75 per mile.

192 x 1.75 = 336

£336

Deal 2

15% off of £680

\frac{x}{680} \frac{15}{100}

680 x 15 = 10200

10200/100 = 102

680 - 102 = 578

£578

Deal 3

£90 per day - 1/10

90 x 7 = 630

1/10 of 630 = 63

630 - 63 = 567

£567

The cheapest deal would be Deal 1

Hope this helps! :)

-Peredhel

5 0
3 years ago
Use the reverse tabular method to solve division problem: (x^4+2x^3+2x^2+2x+1)/(x+1)
svetoff [14.1K]

Answer:

x^3 +x^2 +x+1

Step-by-step explanation:

Your welcome!!!!!!!!!!!

3 0
3 years ago
Can the triangles be proven similar by AA?
vekshin1

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua
frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a)y = a+bx

b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} =  \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300

a=y-bx = 47200-(15300 \times 29) = 2830

So, slope =  15300

Intercept =  2830

So, equation : y = 2830+15300x

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

y = 2830+15300 \times 3.3 = 53320

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = r^2 = (0.72)^2 =0.5184

8 0
3 years ago
What is the measure of Z Z?<br>70°<br>110°<br>105°<br>35°​
Jobisdone [24]

Answer:

z = 110

Step-by-step explanation:

z + 35 + 35 = 180

z+70=180

z = 110

8 0
3 years ago
Read 2 more answers
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