Determine the first three terms of each of the following arithmetic
sequences of which:
(a) the 3rd term of the sequence is 23 and the 26th term is 230.​

Answer:

5/9

Step-by-step explanation:

Each number - 0 through 8 - has an equal probability of being the number of sales on a particular day.

There are 9 possibilities of equal likelihood, so each one has a probability of 1/9.

So we want the probability of the number of sales being 4, 5, 6, 7, or 8.

Those are 5 out of the 9 possibilities, so 5(1/9) = 5/9.

Answer:

False

Step-by-step explanation:

Its not a repeating Decimal

Answer:

x = 17.96829419

rounded to 1dp would be

x = 18.0cm

Step-by-step explanation:

Hypotenuse : Opposite the right angle.

Opposite : Opposite the other angle

Adjacent : Last side left.

We don't need the hypotenuse so we can get rid of that.

We have adjacent (a) and opposite (o) for trigonometry.

Soh Cah Toa

Toa has o and a so we're going to use tan.

Length × Tan (Angle)

8 × tan (66) =17.96829419

Answer:

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)=  180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!

Answer:

The value of the angle will be 105 degrees

Step-by-step explanation:

First, one thing to know is that the angles in a triangle all add up to be 180.

From the triangle on the right, two of the angles are given to us.

We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)

Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)

Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)

The remaining angle from the triangle from the right is 50.

Now, a rule of angles is that vertically opposite angles are equal to each other.

Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.

Now we have two known angles in the triangle from the left.

Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.

50 + 25 = 75

180 - 75 = 105

And there is our answer for the angle that is marked with a "?" --> 105 degrees

Hope this explnation made sense and good luck!

Answer:

oh wow thx

Step-by-step explanation:

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Answer:

integers

2<_x<_12

Step-by-step explanation:

Answer:

what is the answer choices

Step-by-step explanation:

answer:

4(2+3x)

step-by-step explanation:

4(4+3x)=16+12x

4(x+3x)=16x

3(5+9x)=15+27x

4(2+3x)=8+12x

how to solve 4(2+3x):

4(2+3x)

=(4)(2+3x)

=(4)(2)+(4)(3x)

=8+12x

good luck :)

hopefully, this helps

have a nice day !

Answer:

198

Step-by-step explanation:

bc in a foot their are 12 in and 16 x 12 =192 and half a foot is 6in so 192+6=198

Answer:

10, 32, 25

hope this helps!

Answer:

10, 32, 25

Step-by-step explanation:

it's half of the numbers

4 is half of 8

10 is half of 20

16 is half of 32

25 is half of 50

Answer:

400 atheletes (answer 2)

Step-by-step explanation:

35:21:14

x2

70:42:28

x2

140:84:56

x2

280:168:112

x1.5

420:252:168

420 + 252 + 168 = 840

answer: 400 athletes

explanation: 35 + 21 + 14 = 70 total students surveyed. 35 of the students select water (35/70) which is equal to 1/2 so you can do 800 divided by 1/2 and you’ll get 400 :)

Answer:

y= 1/2x+0

Step-by-step explanation:

[tex] \frac{1}{2} y - 1= \frac{1}{2} (x - 2)[/tex]

[tex] \frac{1}{2} y - 1 = \frac{1}{2} x - 1[/tex]

[tex] \frac{1}{2} y = \frac{1}{2} x - 1 + 1[/tex]

[tex]\frac{1}{2} y = \frac{1}{2} x[/tex]

[tex]y = \frac{1}{2} x \div \frac{1}{2} [/tex]

[tex]y = \frac{1}{2} x \times 2 [/tex]

[tex]y = x[/tex]

Answer:

2/7 = 4/14

3:3 = 6:6

1/2 = 2/4

2.5:6 = 5:12

Step-by-step explanation:

For the first one, we can multiply the numerator and denominator of the fraction by 2 to get an equivalent fraction which is 4/14

For the second one we can multiply each side by 2 to get the ratio of 6:6

For the third one we can multiply the numerator and denominator by 2 to get 2/4

For the last one we can multiply each side by 2 to get 5:12

Answer: 24/1

Step-by-step explanation: -4 times -6 is 24 so you can put it as 24/1

Answer:24/1

Step-by-step explanation:

Answer:

55

I have made it in above picture

Answer:

Ans is 55 sq. units

Step-by-step explanation:

As the rectangles are similar, the ratio of sides will also be similar

therefore,

ar(G) = length×breadth = 220

=> 22×breadth= 220

=> breadth= 10

Now, in rectangle h,

length = 22/2 = 11

breadth = 10/2 = 5

area(h) = length×breadth = 11×5 = 55 sq. units

Answer:

[tex]0.25[/tex]

Step-by-step explanation:

1) Divide the numerator by 100.

[tex]0.25[/tex]

Therefor, 25/100 in percent will be 0.25% which is 25%.

Answer:

25 %

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

25/100

The number above the bar is the numerator: 25

The number below the bar is the denominator: 100

Divide the numerator by the denominator to get fraction's value:

Val. = 25 ÷ 100

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

Calculate the percent value:

25/100 =

25%;

Answer:

r = 15.5

Step-by-step explanation:

4/3 pi r^3 = 15500 cm^3

r^3 = 15500 ÷ (4/3 pi)

r^3 = 3700.35

r = cube root of 3700.35

r = 15.467

r = 15.5

Answer:

4/3 π r³= 15500

r³=15500×3/4×7/22

r≈15.2 cm

Step-by-step explanation:

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

Answer:

yes

the domain is greater than or equal to 0 and less than or equal to 4

the range is greater than or equal to 2 and less than or equal to 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter of a triangle is 72cm. The longest is 6cm less than sum of the other two sides. Twice the shorter side is 7cm than less than the longest side. Find the length of each side of the triangle

Hi there!

[tex]\boxed{= 70 + cos(12) - cos(2) \approx 71.26}[/tex]

[tex]\int\limits^{12}_{2} {x-sin(x)} \, dx[/tex]

We can evaluate using the power rule and trig rules:

[tex]\int x^n = \frac{x^{n+1}}{n+1}[/tex]

[tex]\int x = \frac{1}{2}x^{2}[/tex]

[tex]\int -sin(x) = cos(x)[/tex]

Therefore:

[tex]\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}[/tex]

Evaluate:

[tex](\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26[/tex]

Answer:

help

Step-by-step explanation:

help

Answer: 5x + (1)y = -25

Step-by-step explanation:

Simple addition and subtraction

- 2 + 7 = 5

- 4 + 5 = 1

- 8 - 17 = - 25

5x + (1)y = -25