Which of the following tables represents a function?
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Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

Answer:

1

Step-by-step explanation:

The volume of this cube is  1 cu.cm , Option B is the correct answer.

A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.

The volume of the cube is given by side * side * side

Let side =  a

Then volume of the cube = a³

In the given figure all the side of the cube is given as 1 cm.

Therefore to determine the value of the volume , we will substitute in the equation

V = (1)³

Volume = 1 cu.cm

Therefore , the volume of this cube is  1 cu.cm, Option B is the correct answer.

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Answer:

54.5

Step-by-step explanation:

Answer:

Equation

Step-by-step explanation:

Equation Rate of change: 2/1=2

Graph Rate of Change: -4/1=-4

Answer: Equation has a greater rate of change

Step-by-step explanation:

Equation's rate of change is 2 and graph's rate of change is -4

Answer: not correct reset an-[ERROR]

Step-by-step explanation:

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

Answer:

(-5,3), (7,-2), (3,1)

Step-by-step explanation:

Just did this question. Got it wrong but thats what it says the right answer is

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length

Therefore, the scale factor is 1 : 3000

The scale factor is 1; 3000.

Given

The scale measures 4 centimeters equal to 120 meters.

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

Scale factor means 1 unit on the scale is equal to what length of actual measurement.

4 cm of scale = 120 meters or 12000 cm of actual length.

1 cm of scale = 4/4

Then,

[tex]= \dfrac{12000}{4}\\\\=3000[/tex]

Hence, the scale factor is 1; 3000.

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Answer:

Step-by-step explanation:

if our motorcycle use 70 miles per gallon

and 1mile=1.6 km

the motorcycle travels 70*1.6=112 km per gallon

for 60 km it needs

60/112=0.54 gallons

Answer:

3!

Step-by-step explanation:

8 2/3 - 1 10/11 = 223/ 33  (6 25/ 33)

Hope it helped!

Answer:

Its 8

Step-by-step explanation:because u add then divide and subtract

Answer:

x=2

Step-by-step explanation:

5(4x - 3) - 18 = 7

20x - 15 - 18 = 7 distributive property

20x - 33 = 7 communitive property

20x = 40

-------------

    20

x=2

Answer:

2?

Step-by-step explanation:

7-5 is equal to 2

Answer:

2

Step-by-step explanation:

Answer:

(-3/2, 10)

Step-by-step explanation:

(x, y)

Set y = 10

10 = -2/3(x) + 9

x = -3/2

(-3/2, 10)

Set y = 10 2/3

10 2/3 = -2/3(x) + 9

x = -5/2

(-5/2, 10 2/3)

You can also plot the line and see which point is on the line which would be (-3/2, 10).

The ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

Recall:

Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:

10 = -2/3(-3/2) + 9

10 = 1 + 9

10 = 10 (TRUE)

Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A.  (-3/2, 10)

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Step-by-step explanation:

It is 64*0.32=20.48 minutes or 20.5 minutes.

Answer:

43.52

Step-by-step explanation:

first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.

9514 1404 393

Answer:

  -4 < y < 4 and y < -3/2x +2

Step-by-step explanation:

The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...

  m = rise/run = -3/2

This means we can write the boundary line equation as ...

  y = mx + b

  y = -3/2x +2

__

We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...

  y < -3/2x +2

We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...

  -4 < y < 4 and y < -3/2x +2

Answer:

Okay thank you

Step-by-step explanation:

Answer:??

Step-by-step explanation: where’s the question

Answer:

x=18,y=-3

Step-by-step explanation:

Answer:

12.4 feet

 Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3

If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3

so,

x/93/5 = 2/3

Multiplying both sides with 93/5

x = 2/3 * 93/5

x = 62/5 =12.4

Answer:

x^2+27x+180

Step-by-step explanation:

okay so -12 and 15 are the only solutions

work backward

add 12 and add 15 from x

(x+12)(x+15)

then solve this

x*x=x^2

x*+15=15x

12*x=12x

12*15=180

now put it all together

x^2+15x+12x+180

then simplify

x2+27x+180

(x+12)(x+15)

Then solve again to try it.

x+12=0

x+15=0

x=-12

x=-15

Hope this helps.

Answer: 144.84

Step-by-step explanation:

Answer:

They would be done by 2 :  18 AM

Step-by-step explanation:

Key Information:

- Stacey starts at 2 PM peeling 20 potatoes per hour

- Rob starts at 3 PM peeling 30 potatoes per hour

- James starts at 4 PM peeling 40 potatoes per hour

At 5pm;

Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)

Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)

James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)

Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes

Potatoes left = 1000 - 160 = 840 potatoes.

The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.

Rate = potatoes left / time;

Time = Potatoes / Rate

Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes

Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes

They would be done by 2 :  18 AM

Answer:

2:20 am

Step-by-step explanation:

Stacey's start time = 2 pm

Rate = 20 per hour

Rob start time = 3pm

Rate = 30 per hour

James start time = 4pm

Rate = 40 per hour

Number of potatoes = 1000

By 4 pm when James started :

(2 * 20) + (1 * 30) = 40 + 30 = 70

Potatoes left at 4pm = 1000 - 70 = 930 potatoes

Number of potatoes peeled per hour staring from 4 pm:

20 + 30 + 40 = 90 potatoes

Time taken to peel 930 potatoes will be :

930 / 90 = 10.333333 hours

(0.33333 * 60) = 19.9998 minutes

10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes

Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M

The line segment AC (side a) is the longest side of triangle ABC.

To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.

Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.

To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:

a/sin(A) = b/sin(B) = c/sin(C)

Where:

a, b, c are the side lengths of the triangle.

A, B, C are the angles opposite to sides a, b, c, respectively.

Let's calculate the length of side AC (a) using the law of sines:

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(45°) = b/sin(75°) = c/sin(60°)

a/√(2) = b/sin(75°) = c/sin(60°)

Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.

a = √(2) * b and a = (√(3)/2) * c

Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.

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The complete question is:

A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest  

60,000 + 3,000 + 20 + 9

= 63,000 + 29

= 63,029.

Answer: 63,029

Hope this helps have A wonderful Christmas

Step-by-step explanation:

Answer: Hi! 15/32, I think!

Answer:

15/32

Step-by-step explanation: