MATHEMATICS MIDDLE SCHOOL

Arthur ran around a circular field 3 times. If he ran a total of 750m what is diameter and radius

Answers

Answer 1

Answer:

Answer:

Hope this helped

Step-by-step explanation:

Circumference = 750 m / 3

Circumference 250 m

Circumference = pi * D where pi = 3.1415926 and D is the diameter in meters

Solving for the diameter

250 m = pi * D

D = 250 m / pi

D = 79.58 m is the diameter of the circular field

Solving for the radius

r = 1/2 D where r is the radius of the circular field

r = 39.59 m is the radius of the circular field

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How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable word

Answers

In this case, all letters are unique.

Start by holding the first letter:
E - XAM
E - XMA
E - MAX
E - MXA
E - AXM
E - AMX
So there are 6 combinations here.

Repeat for all 4 letters.

6 x 4 = 24

This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
For 5 unique characters, it is 5x4x3x2x1
And so on...

Solve for x.
3(x)+10= 2x3+2x6

Answers

°°° Let's see -

Solve for x - BUT, before we do that, I want to look at the right side of the equal sign: I believe the 'x' on the right side '2 x 3 + 2 x 6' is actually a multiplication sign, so we'll replace that with a proper x so that we don't get confused.

°°° Rewrite the equation -

3 (x) + 10 = 2 × 3 + 2 × 6

°°° Simplify both sides of the equation -

3x + 10 = (2) (3) + (2) (6)

°°° Simplify again (Yes, again) -

3x + 10 = 6 + 12

3x + 10 = (6 + 12) (Combine Like Terms)

3x + 10 = 18

°°° Subtract 10 from both sides -

3x + 10 - 10 = 18 - 10

3x = 8

°°° Divide both sides by 3 -

3x / 3 = 8 / 3

x = 8 / 3

°°°FINAL ANSWER°°° -

x = 8 / 3

↑ ↑ ↑ Hope this helps! :D

Hey i need some help ill give you brainest 2. Ms. Juhal was making t-shirts. One of the designs had the instructions to make points at the following locations and then draw lines to connect the points in order: A ; B ; C ; and D .(a) Use graph paper to plot the points.
(a) Connect them in order: A to B, B to C, C to D, and then D back to A. What shape is created?
i need more sentences

Answers

a is the best way to find it if there is points involved so keep that in mind

I don’t know the answer

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Answer:

$\mathrm{48 \:feet}$

Step-by-step explanation:

Use the Pythagorean theorem.

$a^2+b^2=c^2$

$20^2+b^2=52^2$

$20^2+b^2-20^2=52^2-20^2$

$b^2=2304$

$b=√(2304)=48$

What is the nth term in the sequence:
4, 7, 12, 19, 28
Please show working out

Answers

The correct answer is n²+3.

Explanation:
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.

Since these are different, this is not linear.

We now find the second differences:
5-3=2; 7-5=2; 9-7=2.

Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².

We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.

Answer:

The nth term in the given sequence will be:

$n^2+3$