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Rufina [12.5K]
3 years ago
13

PRE CALC HELP!!! 100 PTS AND BRAINLIEST

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
4 0

Answer:

π/4 < x < 5π/4.

grigory [225]3 years ago
3 0

Hello!

\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

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A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
ivolga24 [154]

Answer: The charge was right.

Step-by-step explanation:

If he charged $18 per hour, it means he charged $18 for 60 minutes. He worked for 2 hours 15 minutes which is (60 ×2) + 15 = 135 minutes. For 135 mins, (135 ×18)÷ 60 = 40.5.

He drove 21 miles to his house and 21 miles back. That is 21×2= 42. And for $0.27 = $11.34.

Adding the costs, 40.5 + 11.34 = $51.84

5 0
3 years ago
What is an equation of the line that passes through the point (2, -6) and is parallel
Karo-lina-s [1.5K]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

x-2y=8\implies -2y=-x+8\implies y=\cfrac{-x+8}{-2} \\\\\\ y=\cfrac{-x}{-2}+\cfrac{8}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/2 and passes through the point (2 , -6)

(\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad\qquad \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y+6=\cfrac{1}{2}x-1\implies y=\cfrac{1}{2}x-7

5 0
3 years ago
Ralph Chase plans to sell a piece of property for $155000. He
Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
If we let y represent Niki's height in inches, write an algebraic expression for Desmond's height. Help!
masya89 [10]

Answer: Y=height

Step-by-step explanation: if we had the height of the person we could fill it in for y. so if we have y (being the variable) that varies based on the gathered information.

7 0
4 years ago
Three more than a number is less than twice the number
Hoochie [10]
X + 3 < 2x
3<2x-x
3 < x

x is greater than 3
8 0
3 years ago
Read 2 more answers
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