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3 years ago

Identify the terminal point for a 45° angle in a unit circle.

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

9514 1404 393

Answer:

(x, y) = ((√2)/2, (√2)/2))

Step-by-step explanation:

See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).

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Martin works at bluebell ice cream parlor.He earns $87.50 for every 7 hours of work.Based on this information how much money wou

faust18 [17]

Martin will earn $350 for 28 hours of work.

Step-by-step explanation:

Given,

Amount earned in 7 hours = $87.50

Ratio of time to amount earned = 7:87.50

Let,

x be the amount earned in 28 hours.

Ratio of time to amount earned = 28:x

Using proportion;

Ratio of time to amount earned :: Ratio of time to amount earned

$7:87.50::28:x\\$

Product of mean = Product of extreme

$7*x=87.50*28\\7x=2450$

Dividing both sides by 7

$\frac{7x}{7}=\frac{2450}{7}\\x=350$

Martin will earn $350 for 28 hours of work.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

4 0

4 years ago

What is 1/4 of 20? what is an equivalent fraction to 1/2?

Vinvika [58]

1/4 of 20 is 5.. and 5/10, 3/6, 2/4, 6/12 are all equal to 1/2

3 0

3 years ago

The perimeter of XYZ is ___ units.

In-s [12.5K]

Look at the picture.

$ZY = 5+3=8$

For XY and ZX use the Pythagorean theorem.

$XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5$

$ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}$

The perimetero fo XYZ:

$P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}$

7 0

3 years ago

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

6 0

3 years ago

What is the the y-intercept and x-intercept of the line.<br> 4x - 4y= 36

algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

4 0

3 years ago