Angles A and B are adjacent on a straight line. Angle A has a measure of (2r +20) and angle B has a measure of 130.. What is the measure of r?

Answer:

x= -2

x= -3

x= 5

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

right on edge

The sinusoidal expression of the function is D(t) = -cos(3t)

A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.

here, we have to,

to determine the sinusoidal expression:

When he pushes off, he is 1 m behind the center.

This means that:

Amplitude, a = 1.

But we use, a = -1 because he is behind

The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).

So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0

Simplify 2π/B = 4 * π/6

2π/B = 2π/3

By comparison, we have:

B = 3

The function is given as:

a cos(Bt) + d

Substitute the calculated values

D(t) = -cos(3t)

Hence, the sinusoidal expression of the function is D(t) = -cos(3t)

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Answer:

period and he completes a swing in ten seconds

Answer:(15,0)

Step-by-step explanation:

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Answer:

x=11

Step-by-step explanation:

-13+2x = 9 add 13 to both sides

2x = 22 divide by 2

x=11

Answer: C

Step-by-step explanation:

We need to turn 50% into a fraction first to make it easier,

50% is equal to 1/2 because 50/100 is simplified to 1/2.

Now let's multiply!

24 x 1/2 = 24/2 = 12/1 = 12

the answer is 1 and 4

Start by subtracting, so on #1 subtract 5-8, 8-11, 11-14

then go up to x, -2--1, -1-0, 0-1

Answer:

1 and 4

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

3/4+3/4+3/4= 9/4 = 8/4 +1/4

=2 1/4

To find the best prediction of the cost of the groceries nine years after the beginning of the study, we need to use the given data to find the values of a and b in the function C=a(b)x. So, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

To do this, we can use the first data point where x = 0:
30 = a(b)^0

This simplifies to:  

30 = a
So, we know that a = 30.

Next, we can use any other data point to solve for b. Let's use the second data point where x = 1:
32.10 = 30(b)^1

This simplifies to:
32.10 = 30b
b = 1.07
Now we can use the function C = 30(1.07)^x to find the best prediction of the cost of the groceries nine years after the beginning of the study:
C = 30(1.07)^9
C ≈ $53.34

Therefore, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

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Answer:

16 and 25

Step-by-step explanation:

list perfect square numbers from 1 to 10

1, 4,9,16,25,36,49,64,81,100

looking at the list, 2 numbers he could be thinking of are 16 and 25

The scale factor of Figure A to Figure B is; 5/9

The scale factor of the figure A to the Figure B, will be given by the ratio of the side of the figure A to the given corresponding side of the Figure B.

Now, we see that the corresponding longest sides of the Figures A and B are given as 36 and 20 respectively

The corresponding shortest sides of the Figures A and B are given as 25.2 and 14 respectively

Therefore, we can conclude that the scale factor of the Figure A to the Figure B = 20/36 = 14/25.2 = 5/9

Finally, in order to get the dimension of Figure 'B' we multiply the dimension of Figure 'A' by 5/9

The  scale factor of Figure A to Figure B = 5/9

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Answer:

3/18 or 1/6 in simplest form.

Step-by-step explanation:

We do (Y2-Y1)/(X2-X1).

(0--3)/(14--4)

When you subtract a negative, the sign turns positive.

(0+3)/14+4) =3/18

if you need to simply your answer it would be 1/6 because both the numerator and denominator are both divisible by 3.

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

The surface area of the pyramid is A = 265.23 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of hexagonal pyramid be represented as A

Surface area of hexagonal pyramid = Area of base + area of lateral surface

Area of the base = 93.5 inches²

Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )

where a = 6 inches

h = 8 inches

Substituting the values in the equation , we get

Area of the lateral surface = ( 3 x 6 ) √ ( 64 + ( 3 x 36 / 4 ) )

On simplifying the equation , we get

Area of the lateral surface = 171.7 inches²

So , Surface area of hexagonal pyramid = Area of base + area of lateral surface

Surface area of hexagonal pyramid A = 93.5 inches² + 171.7 inches²

Surface area of hexagonal pyramid A = 265.23 inches²

Hence , the surface area of hexagonal pyramid is 265.23 inches²

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Answer:

Step-by-step explanation:

Answer:

\(37 \times 120 \\ \\ = 4440\)

NOTE: sorry if im wrong

ANSWER: C.

Answer:

a)

c)

d)

Step-by-step explanation:

a) true : from inspection of the graph, when h=0, g=50, so g(0)=50

b) false : we are told that h is hours after 8:00am.  Therefore, when h=12, this would be 8:00pm

c) true : from inspection of the graph, the maximum temperature occurs when h=7. We are told that h is hours after 8:00am, so when h=7 this would be 15:00 = 3.00pm

d) true : from inspection of the graph, we can see that when h=11, g≈62 and when h=8, g≈74.  Therefore g(11) < g(8)

e) false : at 8.00am, h=0 and g=50.  At 1.00pm, h=5 and g≈71.  71-50=21.  21≠10.

Answer:

y =2x+2

Step-by-step explanation:

Mark brainliest

Answer:

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

6√35

Decimal Form:

35.49647869

Answer: For 1. ( 15,16,21 ), the answer is not a triangle, for 2. ( 20,23,41 ), this is an acute triangle, for 3. ( 10,24,26 ), this is an obtuse triangle, and for 4. (6, 13, 20), the answer is not a triangle, I hoped all of your answers is very helpful, Brainliest back please, and have a happy holidays! :D

Step-by-step explanation:

The mean of y-values is referred to as \(\bar{y}\). So, option b is the correct choice.

A variable in a set of sample data in statistics is symbolized by the little Latin letter x. If a letter has a horizontal bar above it, it means the variable it is placed over is considered the average or mean.

We would add all of the sample data points, divide by the sample size, and then compute the x-bar, or sample mean. This is given by \(\bar{x}=\frac{x_1+x_2+x_3+\cdots\cdots+x_n}{n}\) where n is referred to as the sample size and \(\bar{x}\) is the sample mean.

Therefore, the central tendency of the data is represented by this \(\bar{x}\) or the x bar. Therefore, the mean of y-values is represented by y bar or \(\bar{y}\).

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The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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The expression that describe the area of the shaded part is 1/3 × 1/2 (optionD)

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

therefore the area of the shaded part is l× w

On the vertical row 3 boxes are shaded out of 6

and on the horizontal 3 are shaded out of 9 boxes

A = 3/6 × 3/9

A = 1/2 × 1/3

therefore the area of the shaded part = 1/3 × 1/2

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