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3 years ago

Find exact value of the expression: tan -1 square root 3/3

Mathematics

1 answer:

adell [148]3 years ago

4 0

Hello,

if tan x=√3/3 then x=30°+k*180° k: integer

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A car rents for $40 per day plus 18¢ per mile. You are on a daily budge of $67. What mileage will allow you to stay within your

IrinaVladis [17]

Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot. That leaves you $27 a day for mileage.

$27 / $0.18 per mile = 150 miles per day, tops.

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3 years ago

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If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose

Nata [24]

Owner would lose out on $100

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3 years ago

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

Look at the picture.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate b:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ subtract 10/3 from both sides

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

4 0

3 years ago

51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early

saul85 [17]

Answer:

51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Step-by-step explanation:

Total number of tickets sold by = 100

Let $x$ be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

$x=\frac{51}{100}\times 100$

$= 51$

Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.

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3 years ago

When you mix two colors of paint in equivalent ratios, the resulting color is

vredina [299]

Answer:

Step-by-step explanation:

From the given table,

To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,

Since, 2 cups of blue paint are mixed with 10 cups of yellow paint

Therefore, ratio in which these shades have been added = $\frac{\text{Pink}}{\text{Blue}}$

= $\frac{10}{2}$

= $\frac{5}{1}$

= 5 : 1

For 1 cup of blue paint number of cups of yellow paint required,

$\frac{x}{1}=\frac{5}{1}$

x = 5 cups

For 3 cup of blue paint number of cups of yellow paint required,

$\frac{x}{3}=\frac{5}{1}$

x = 15 cups

Cups of blue paint Cups of yellow paint

2 10

1 5

3 15

5 0

3 years ago