What is true about the angles in the diagram show below?
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Answer:

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Step-by-step explanation:

Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan t = \frac{y}{x}[/tex] (3)

If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:

[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\sin t \approx -0.625[/tex]

[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\cos t \approx -0.781[/tex]

[tex]\tan t = \frac{-4}{-5}[/tex]

[tex]\tan t = 0.8[/tex]

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

Answer:

It is a possible explanation of events using prior knowledge

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

at -6

Step-by-step explanation:

hope that help

Answer:

x=6

Step-by-step explanation:

16*8=128

176-128=48

8*x should equal 48

8*6 makes 48 so x=6 makes this true

(answered 20. tell me if I need to answer both)

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

Answer:

40

Step-by-step explanation:

because if its between the lines and its negitive and you change it to positive then it well be 31 +9

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

Answer:

2

Step-by-step explanation:

the number right next to the x is the slope, if there is no number, then the slope is 1

your equation in a y = mx + b format"

Answer:

296 miles

Step-by-step explanation:

4 hours=240 minutes

240/30=8

37*8=296

Answer:

Joe travels 296 miles in 4 hours.

Step-by-step explanation:

How many minutes in an hour? 60.

How many minutes in 4 hours then? 60 * 4 = 240 minutes

Now take 240 minutes and divide it by 30. You get 8, this is what you need to multiply 37 by.

37 * 8 = 296.

Therefore, Joe travels 296 miles in 4 hours.

Answer:

Step-by-step explanation:

Here we need to write the equations that passes through the point (4 , 3) and is parallel to the given line and perpendicular to it. So lets get started,

a)

First we calculate the slope of the given line by using any two points on the given line by the help of the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we take the points (1 , 6) and (2 , 2) i chose these two you can choose any other two doesn't matter so now we calculate the slope,

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-6}{2-1}\\\\m=\frac{-4}{1}\\\\m=-4[/tex]

now since our slope is -4 and the line is parallel to the given line so the line that we need in part a would also have the same slope by the law parallel lines have same slope/gradient.

[tex]m_1=m_2[/tex]

so the slope/gradient of our new line that we need which passes through the point (4,3) is -4

Now using the point slope form formula:

[tex]y-y_1=m(x-x_1)[/tex]

we have our point (4,3) which corresponds to [tex](x_1,y_1)[/tex] and m which corresponds to -4 , so now

[tex]y-y_1=m(x-x_1)\\y-3=-4(x-4)\\y-3=-4x+16\\y=-4x+19[/tex]

sow our new line in part a is

[tex]y=-4x+19[/tex]

b)

In this part we need a line that is perpendicular to the given line which means we use the formula to calculate the slope of the perpendicular line which is:

[tex]m_1m_2=-1[/tex]

where [tex]m_1=-4[/tex] the slope of our given line so the slope of the perpendicular line is,

[tex]m_1m_2=-1\\-4m_2=-1\\\\m_2=\frac{1}{4}[/tex]

so using the point (4,3) and the new slope 1/4 we find the equation of the perpendicular line again by using the point-slope form formula:

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x-4)\\\\4y-12=x-4 \\4y=x+8\\\\y=\frac{x+8}{4}\\\\y=\frac{x}{4}+2[/tex]

I have attached of the graphs as well you can check it out for better understanding.

9514 1404 393

Answer:

  D.  2,787.64 yd​

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...

  V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

Answer:

1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1

So the answer would be 1.

Answer:

3 1/2

Step-by-step explanation:

10-6 1/2

20/2 -6 1/2

20/2- 13/2= 7/2

7/2= 3 1/2

Answer:

[tex]\frac{20}{2\\} \\[/tex] - [tex]\frac{13}{2}[/tex] = [tex]\frac{7}{2}[/tex]  or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

make the denominator the same.

so

10*2= 10 so

[tex]\frac{20}{2\\} \\[/tex]

then 6*2= 12+1= 13 so

[tex]\frac{13}{2}[/tex]

20-13= 7

so now

[tex]\frac{7}{2}[/tex]  which is equal to 3[tex]\frac{1}{2}[/tex]

Hope this helps! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧\

Have a nice day!! ( ﾟдﾟ)つ Bye

Answer:

in quadratic formula my answer came out to -2±2√7/3

Step-by-step explanation:

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Answer:

The answer is : x > 2

Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

Answer:

it is c

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Answer: B

Step-by-step explanation:

Answer:

ED is congruent to IH

ED is congruent to IH