MATHEMATICS HIGH SCHOOL

What is .73 repeating as a fraction

Answers

Answer 1

Answer:

Answer:

The decimal 0.73 repeating is equal to 73/99

Step-by-step explanation:

This is because the repeating 3 is in the hundredths place, so we put it over 99

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Question 3 (1 point)Cynthia drove 12 miles in 4.8 minutes. How long would it take her to drive 37 miles? "

Answers

Answer:

14.8 minutes

Step-by-step explanation:

4.8 min/12mi= 0.4 min/1 mile driven

multiply the time by the distance:

37mi*(.4min/1mi), mi cancels and you're left with min

37*0.4=14.8 min

D=RT; 12=R*(.08 hours); R=150mph
Now, 37=150*T; T=37/150=14.8 minutes

The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200

91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013

90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 = 91,170 OR 91,200

The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x

I Prove that Cos(90-θ)/1+sin(90-θ) +1+sin(90-θ) /cos(90-θ) =2

Answers

Okay,

so first you gotta know that cos(90-x) is equal to sinx and sin(90-x) is equal to cosx!!
Now all you gotta do is replace the cos(90-x) to sinx in the numerator and sin(90-x) to cosx in the denomenator inorder to make the numerator all into sin and denomenator all into cos.
After that, open up the brackets and solve...
At the end you'll hopefully get something like this :( 1+sin90 ÷ 1+cos90 )
And since sin90 is 1 (put it in the calculator!) and cos90 is 0, you'll get 2÷1 which is equals to 2!!

Hope this helped! :)

$(cos(90 - \theta))/(1 + sin(90 - \theta)) + (1 + sin(90 - \theta))/(cos(90 - \theta)) = 2$
$((cos(90 - \theta))(cos(90 - \theta)))/((1 + sin(90 - \theta))(cos(90 - \theta))) + ((1 + sin(90 - \theta))(1 + sin(90 - \theta)))/((1 + sin(90 - \theta))(cos(90 - \theta))) = 2$
$(cos^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)cos(90 - \theta)) + (1 + 2sin(90 - \theta) + sin^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)cos(90 - \theta)) = 2$
$(cos^(2)(90 - \theta) + 1 + 2sin(90 - \theta) + sin^(2)(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(1 + 1 + 2sin(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(2 + 2sin(90 - \theta))/(cos(90 - \theta) + sin(90 - \theta)) = 2$
$(2(1 + sin(90 - \theta)))/(cos(90 - \theta)(1 + sin(90 - \theta))) = 2$
$(2)/(cos(90 - \theta)) = 2$
$(2)/(cos(90)cos(\theta) + sin(90)sin(\theta)) = 2$

Need help worth 34 points!

Answers

x + y = 3
- x - x
y = -x + 3

y - y₁ = m(x - x₁)
y - (-1) = -1[x - (-1)]
y + 1 = -1(x + 1)
y + 1 = -1(x) - 1(1)
y + 1 = -x - 1
- 1 - 1
y = -x - 2

The answer is B.

Answer:

the answer is b

Step-by-step explanation:

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6