which of the following statement is not true about sin theta, where theta is 2π/3 radians.

a) it has the same value as sin(8π/3)
b) it has the same value as sin30°
c) it has a positive value
d) it has a negative value​

Using the slope formula, the lines are:

1. Neither

2. Perpendicular

3. Neither

The slope formula is given as, m = change in y / change in x.

Slope of lines that are parallel are the same while slope of perpendicular line will give a product of -1.

1. Slope of L1 (m) = change in y / change in x = (6 - 0) / (0 - (-2))

m = 6/2

m = 3

Slope of L2 (m) = change in y / change in x = (3 - 3) / (0 - 1)

m = 0/-1

m = 0

Both lines are neither.

2. Slope of L1 (m) = change in y / change in x = (-2 - 2) / (8 - 6)

m = -4/2

m = -2

Slope of L2 (m) = change in y / change in x = (0 - 1) / (3 - 5)

m = -1/-2

m = 1/2

Both lines are perpendicular because (-2)(1/2) = -1

3. Slope of L1 (m) = change in y / change in x = (4 - (-1)) / (4 - (-5))

m = 5/9

Slope of L2 (m) = change in y / change in x = (10 - (-7)) / (8 - 4)

m = 17/4

The lines are neither.

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The expression that shows the number of cookies that remained is:

C = 45 - n

We know that Crhis baked a total of 45 cookies, and his family ate n of them.

The number of cookies that remained is equal to the difference between the initial amount, which is 45, and the number of cookies that the family ate, which is n.

(Where a difference refers to a subtraction)

Then the expression for the number of cookies that remained is:

cookies = 45 - n

That is the expression that depends on the value n.

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The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

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

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

7

Step-by-step explanation:

The sum of two sides of a triangle is always greater than the third side.

2 + 6 > 7

Answer:

the customer pays $40.00 dollars

Answer:

1

Step-by-step explanation:

Choose two points on the line:  (-5, 0) and (0, 5)

Let the first point \((x_1,y_1)\) = (-5, 0)

Let the second point \((x_2,y_2)\) = (0, 5)

Use the gradient formula:

\(\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1\)

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

If you want to find the equation of the line, use the point-gradient form of a linear equation:  \(y-y_1=m(x-x_1)\)

(where \(m\) is the gradient and \((x_1,y_1)\) is a point on the line)

Substituting the values into the formula:

\(\implies y-0=1(x-(-5))\)

\(\implies y-0=x+5\)

\(\implies y=x+5\)

Therefore, the equation of the line is y = x + 5

Answer:

Step-by-step explanation:

the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

Answer:

6x + 3 depending if i read it right

Step-by-step explanation:

if you mean

g(f(x)) then:

2(3x + 2) - 1

6x + 4 - 1

6x + 3

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

8.60cm

Step-by-step explanation:

a/sinA=b/sinB

15/sin90⁰=x/sin35⁰

cross multiply

15sin35⁰=xsin90⁰

8.6036=x

x=8.60cm

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

The probability that one marble drawn at random is not blue is 70%

Answer:

protons- (i hope this helps!) Im sorry if this is wrong!

Step-by-step explanation:

I think its the answer i have the same question and i don't know it so...

Answer:

x=5\3,-2\3

Step-by-step explanation:

Answer:

\(y-2=\displaystyle -\frac{3}{4}(x-1)\)

OR

\(y=\displaystyle -\frac{3}{4}x+\frac{11}{4}\)

Step-by-step explanation:

Hi there!

Point-slope form: \(y-y_1=m(x-x_1)\) where m is the slope of the line and \((x_1,y_1)\) is a given point

Given that the slope is -3/4, we can plug it into \(y-y_1=m(x-x_1)\) as m:

\(y-y_1=\displaystyle -\frac{3}{4}(x-x_1)\)

We can also plug in the given point (1,2):

\(y-2=\displaystyle -\frac{3}{4}(x-1)\)

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

\(y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}\)

I hope this helps!

Answer:

Add all the digits of the number, then check if that sum is divisible by 9. If yes, we know the number is divisible by 9.

Answer:

y = 5x + 15

Step-by-step explanation:

You can pick any two points on the graph that intersect the trend line. For instance (5,40) and (3,30)

Formula for Slope:

\(y = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 30}{5 - 3} = \frac{10}{2} = 5\)

y intercept:

\(y = 15\)

Equation of a line:

\(y = mx + b\\m = slope \\b = intercept \\\\y = 5x + 15\)

** also be cautious of the different scaling of the x and y axis.

The approximate equation of the line of best fit is y = x + 5 and the money spent on entertainment is $13

From the question, we have the following parameters that can be used in our computation:

Scatter plot

The line of best fit is added as an attachment

From this graph, we have the following points

(x, y) = (0, 5) and (4, 9)

A linear equation is represented as

y = mx + b

Where

b = y when x = 0

This means that

b = 5

So, we have

y = mx + 5

At (x, y) = (4, 9), we have

9 = 4m + 5

So, we have

4m = 4

Divide by 4

m = 1

So, we have

y = x + 5

This means that

x = 8

Substitute the known values in the above equation, so, we have the following representation

y = 8 + 5

Evaluate

y = 13

Hence, the money spent on entertainment for working for 8 hours is $13

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Answer:

20.243. (Rounded to the nearest hundredths)

Step-by-step explanation:

75 ÷ 3.705 = 20.24291498

Answer:

2; 3; 80; 1; -40; 1; -240 (answered from left to right then the next line)

Step-by-step explanation:

This is a question on fractions and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

240

Step-by-step explanation:

k/3+80=k/2+120

K/3-k/2=120-80

3k-2k/6=40

K/6=40

K=240.

So the value of k is 240.

1. Yes, this is a binomial distribution.

2. n = 200, p = 0.25.

3. The mean of X is 50. This means that we can expect to get 50 cherry flavored Starburst candies on average.

4. The standard deviation of X is 7.07. This means that the number of cherry flavored candies is likely to be close to the mean of 50, but it could vary by up to 7.07 in either direction.

5. The probability of getting exactly 60 cherry flavored Starburst is 0.108.

6. The probability of getting at most 60 cherry flavored Starburst is 0.619.

A bag of Starburst candies can be considered an SRS of the whole population of Starburst candies since there are 4 flavors. The probability that each Starburst is cherry flavor is 0.25. Since we are buying one bag of Starburst, the number of cherry flavored candies in the bag can be represented by a binomial distribution with n = 200 and p = 0.25. This means that the mean of X (the number of cherry flavored candies) is 50. The standard deviation of X is 7.07, which means that the number of cherry flavored candies is likely to be close to the mean of 50, but could vary by up to 7.07 in either direction. The probability of getting exactly 60 cherry flavored Starburst is 0.108, and the probability of getting at most 60 cherry flavored Starburst is 0.619.

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Answer:

X = 4x-18

Step-by-step explanation:

X = “a number”^^

Answer:

30%

Step-by-step explanation:

See Venn diagram below

Step-by-step explanation:

c^2 = a^2 + b^2

A

\( \sqrt{40 ^{2} + 30 {}^{2} } = 50\)

B

\( \sqrt{60 {}^{2} - 40 {}^{2} } = 44.7\)

a. Recall that

For , we have

By integrating both sides, we get

If , then

so that

We can shift the index to simplify the sum slightly.

b. The power series for  can be obtained simply by multiplying both sides of the series above by .

c. We have

Answer:

Step-by-step explanation:

You'll be given an equation that contains an x and a y.

You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.

For example:

Is (0,4) a solution to the equation 2x+3y = 15 ?

Plug the coordinates of (0,4) into the equation:

2·0 + 3·4 = 15

This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

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Answer:

b

Step-by-step explanation: