How can I factorise expressions

Answer:

The length of the chord is 30cm

Step-by-step explanation:

Given

[tex]r = 17cm[/tex]

[tex]d = 8cm[/tex]

Required

Calculate the chord length (L)

This is calculated as:

[tex]L = 2 * \sqrt{(r^2 -d^2)[/tex]

So:

[tex]L = 2 * \sqrt{(17^2 - 8^2)[/tex]

[tex]L = 2 * \sqrt{225[/tex]

[tex]L = 2 * 15[/tex]

[tex]L = 30cm[/tex]

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students in D = in the drama club , S = in a sports team

P(D) = 70/310

P(S) = 190/310

P(D and S) = 50/310

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 70/310  + 190/310  - 50/310

P(D or S) = 210/310 = 21/31

P(neither D nor S) = 1- 21/31

P(neither D nor S) = 10/31

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

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Answer:

Yes plz!

Step-by-step explanation:

Answer:

yeah sure i'll take some

Step-by-step explanation:

mb 4

Step-by-step explanation:

pweieieiwiwordiowleieieiqhqhe

Answer:

0

Step-by-step explanation:

subtracting like terms

Answer:it might be (F)

Step-by-step explanation:

Tell me if I’m right or wrong

Answer:

this is the answer :) good luck

Answer: This is not my work! Don't report me!

Step-by-step explanation:

I don't really understand this but I found a similar question that was answered and that answer is expert verified. I hope its correct and it helps you!

Answer:

6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right on edge

The area of his garage floor Milo wants to roll epoxy is 403 + 40√3 ft².

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, Milo wants to roll epoxy on his garage floor.

The measurements are 20 + √3 feet by 20 + √3 feet.

Therefore, The area of his garage floor is,

= (20 + √3)×(20 + √3) ft².

= 400 + 20√3 + 20√3 + √3×√3 ft².

= 400 + 40√3 + 3 ft².

= 403 + 40√3 ft².

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Answer:

Step-by-step explanation:

-6x + 10 is the answer!!!!

Answer:

Jenna has 24 Dimes and 6 Quarters

Step-by-step explanation:

Hopefully this helps

Answer:

11°

Step-by-step explanation:

90°-79°

=11°

Hope it helps

Answer:

2t + 8

Step-by-step explanation:

add the like terms.

Answer:

2nd, third and fifth options are the correct answers.

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

C = 13

Step-by-step explanation: According to the pythagorean theorem, which states A² + B² = C². This means that in this equation 5²+12²=x². When we solve this we get 169=x². Since 169 is the perfect square of 13 therefore the answer is 13.

Step-by-step explanation:

Given - For each pair of pants, Pedro has 2 shirts.

To find - Which models show this relationship?

Proof -

Let Pedro has total number of pair of pants = x

Now,

As given

For 1 pair of pants , Pedro has total number of shirts = 2

⇒For x pair of pants , total number of shirts = 2x

So, Total number of clothes Pedro has = x + 2x = 3x

Answer:it’s A and D

Hope this helped

Answer:

For train A, the distance traveled as a function of time in hours is written as:

y = 68*x

For train B, we know that it's equation passes through the points (0, 0) and (1, 64)

Remember that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then the slope for the equation of train B is:

a = (64 - 0)/(1 - 0) = 64

Then equation of train B is something like:

y = 64*x + b

Now, we know that it passes through the point (0, 0), this means that when x = 0, we also have y = 0, then if we replace these two values in the equation we get:

0 = 64*0 + b

0 = 0 +b

then b = 0

This means that the equation for train B is:

y = 64*x

Where again, y is the distance in miles and x is the time in hours.

If we look at both equations, we can see that train A has a larger slope, which means that for each unit of time, train A travels a larger distance, then we can conclude that train A is faster than train B.

Answer:

a)-3>-7

b)3>-4 The symbol was preserved.

c)-6<8 The symbol was reversed.

Step-by-step explanation:

Hope this helps! :)

Answer:

20

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

Answer:

the answer is c plz trust

Step-by-step explanation:

Answer:

the next three terms are 2,7,12,17,22,27,32

have a nice day

Answer:

n + 5

Step-by-step explanation:

n+5

2,7,12,17,22,27,32

9514 1404 393

Answer:

  15

Step-by-step explanation:

The value of c can be found by using the given point values in the equation for the line.

  5y -bx = c

  5(3) -b(0) = c . . . . . fill in x and y

  15 = c

Answer:

angle 5 and 8 are not vertical angles because they dont cross with another live diaglaly

Step-by-step explanation:

Answer:

Corresponding Angles: the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Alternate Interior: The term alternate interior angles is often used when two lines are cut by a third line, a transversal .

Vertical Angle: each of the pairs of opposite angles made by two intersecting lines.

Step-by-step explanation:

Answer:

03

Step-by-step explanation:

Subtract 4, divide by 2, then get 3

The value of y from the figure is 3.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°).

A rectangle has equal and parallel opposite sides.

A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

We have a figure of rectangle whose length = 10 + 2x or 18

and width = 10 or 2y+ 4

As, we know the opposite sides of rectangle are equal.

So, 10+ 2x = 18

2x = 8

x= 4

and, 10 = 2y+ 4

2y= 6

y= 3

So, the value of y is 3.

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Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

its a lot but i hope this will help!! please lmk if i made a mistake

Answer:

256/6561

Step-by-step explanation: