angle theta is in standard position. if sin theta = -1/3 and pi < theta< 3pi/2 find cos theta

Answer:

y = 1/4x - 4

Step-by-step explanation:

If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.

-3 = 1/4(4) + b

-3 = 1 + b

-4 = b, then rewrite the equation with the new slope and the b you found.

y = 1/4x - 4

Answer:

27, 12, 9, 6, 4, 3

Step-by-step explanation:

please vote me brainliest

Step-by-step explanation:

Find the distance between the line segments XY & YZ

XY = 4 units

YZ = 5 units

Use the following equation to solve for the hypotenuse of the triangle:

Hypotenuse = √(a² + b²)

Let: a = XY

      b = YZ

Hypotenuse = √(4² + 5²)

Remember to follow PEMDAS. Solve the parenthesis first, and the powers first before adding:

Hypotenuse = √(16 + 25)

Hypotenuse = √(41)

B) 41 is your answer, if you keep it as c². However, if it is not, then none of your answer choices work, as the answer would be √41.

~

Answer:

Step-by-step explanation:

y=mx+b

b=-3 (y intercept)

Use equation y2-y1/x2-x1

-3/5= m

y=-3/5x-3

Answer:

Step-by-step explanation:

We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.

Lets start by plugging in -1.

(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).

Now lets plug in 0.

(0)^2-2(0)+3= 3 (0,3)

For plugging in 1

(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)

And lastly lets plug in 2

(2)^2-2(2)+3=3 (2,3)

Depending on how many points are needed, keep plugging in numbers like we did above.

Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

Im guessing this i might be wrong

54 ounces

3 ounces

Step-by-step explanation:

Answer:

To be honest i think 54 ounces and 3 ounces

Step-by-step explanation:

i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz

We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.

We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.

[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]

[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]

[tex]\text{Actual distance}=675\text{ miles}[/tex]

Therefore, the actual distance from Pensacola to Miami is 675 miles.

Answer:

can you show the planets. or do you want real planets volumes?

Answer:

x = 18 hope this helps

(33+3=36)

(36÷2=18)

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

r is 19m

37/360 * 22/7 * 19 * 19

Area = 116.61 m^2

Answer:

For the first on it is A) 17

For the second one it is B) 41 I hope cause I haven't done these in along time

Step-by-step explanation:

For the first on it's going to 17 because if you turn the less than sign into a minus sign you're going to get 6 - -11. You turn the two signs into a plus sign you get 6 + 11 and you add them you get 17

For the second one your going to the same thing you add 34 + 7 and you get 41  

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

Answer:

15kmh

Step-by-step explanation:

Answer:

15k

Step-by-step explanation:

There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.

i hoped that made sense ;-;

Answers:

a) 6km/hour

b) 10 minutes

Step-by-step explanation:

a) after 30 minutes, Jo had walked 3km which means that after 1 hour

(30mins x 2), Jo would have walked 6km (3km x 2).

∴ Jo walks 6km/hour for the first 30 minutes

b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins

∴ Jo's rest was 10 mins long

Hope this helps :-)

Answer:

The answer is 1 /2

Step-by-step explanation:

Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.

Any multiples of cos outside 2nd quadrant will give a positive value.

cos 5pi/3  is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.

In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.

For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant

If "R" is a real number, for all R multiplied by pi/3,  the new value gives an angle in the first or fourth quadrant, the angle will be 0.5

The exact value of  cos 5 ( π /3 )  is  1 /2 .

Answer:

I think its a right angled triangle

and so x= 90°

Answer:

x=65

Step-by-step explanation:

145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.

Hope this helps!

Answer:

Step-by-step explanation:

area of sector = angle/360 * pi * r^2

59.4 = angle/360 * 3.142 * 17.9^2

angle = 21.24

Answer:

21.24°

Step-by-step explanation:

I hope it helps:)

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 84

 (85+89+90+82+x)/5=86

so x=84

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: https://brainly.com/question/27980306

#SPJ6

Answer:

180 bricks.

Step-by-step explanation:

The dimensions of the front of the shed are 30 x 12.

30 x 12 = 360

The dimensions of the brick are 2 x 1.

2 x 1 = 2.

360/2 = 180.

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

-7 degrees

Step-by-step explanation:

Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)

Answer:

p(x)

Step-by-step explanation:

Substitute x = 3 into each function and calculate the value.

p(3) = 2(3)² + 4(3) + 11 = 2(9) + 12 + 11 = 18 + 12 + 11 = 41

h(3) = 4(3) = 12

s(3) = 10(3) = 30

Thus p(x) = 41 is the largest value when x = 3

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

Answer:

(2,5)

Step-by-step explanation:

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

[tex]97 + x + 27 = 180[/tex]

[tex]x + 124 = 180[/tex]

Next you have to solve it by substracting 124 to both sides :

[tex]x + 124 - 124 = 180 - 124[/tex]

[tex]x = 56[/tex]