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1 year ago

Use the unit circle tan (3/4)

Mathematics

1 answer:

Mariana [72]1 year ago

5 0

Using the unit circle, the coordinates of 3π/4 is :

$(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2})$

Note that tangent function can be solved using the formula y/x

where x and y are the coordinates of the angle.

This will be :

$\frac{\sqrt[]{2}}{2}\div(-\frac{\sqrt[]{2}}{2})=-1$

The answer is -1

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A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt

vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0

3 years ago

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to b

ZanzabumX [31]

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

3 0

2 years ago

A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.

nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

( $(x_1, y_1)$ and $(x_2, y_2)$ are the two points)

The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

$D = \sqrt{(-1 - 2)^2 + (5 - 5)^2$