Jk is the tangent of circle p and q. JK = ?

Answers

Answer 1

Answer: PJK and QKJ are right angles. We can make the right angled PQR, where QR is parralel to our JK (and congruent, true).
PR is PJ-QK=11-3=8. We've got PQ=17 and PR=8. Pythagoras' theorem could help us find out QR, which is equal to JK. $QR=√(17^2-8^2)=√(289-64)=√(225)=15$
JK is that same 15, for the same reasoning.

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State the next term of each sequence
a) 1, 16, 81, 256....
b) 1, 1, 2, 4, 7, 13, 24....

Answers

a) 1, 16, 81, and 256 are all perfect squares. Find their squares:
1, 4, 9, 14.
In this sequence, you first at 3, then 5, then 7. So, logically, you would add 9 next. 14 + 9 is 23, and 23 squared is 529.
b) I'm not sure the data points for this sequence are correct. I'd have to guess 42 based on this difference chart:
1 1 2 4 7 13   24   42
+0 +1 +2 +3 +6 +11 +18
+1 +1 +1 +3 +5   +9
+0 +0 +2 +2   +4
  +0 +2 +0 +2

a)
$1,16,81,256,\underline{625}\n\text{The general formula is } n^4 \text{ where } n\in \mathbb{N}$

b)
$1,1,2,4,7,13,24,\underline{44}\n\text{Each number is the sum of three preceding numbers.}$

What is the sum of the first 50 natural numbers? How to solve it without adding 50 digits?

Answers

$1+2+3+4+5+\dots+50\n\n1;\ 2;\ 3;\ 4;\ 5;\dots;50\ are\ the\ terms\ of\ a\ arithmetic\ sequence\nwhere\ a_1=1\ and\ d=1\n\nSum:S_n=(a_1+a_n)/(2)\cdot n\n\nS_(50)=(1+50)/(2)\cdot50=51\cdot25=1275\leftarrow solution$

Look at the first one and the last one: 1 + 50 = 51
Look at the second one and the second-last one: 2 + 49 = 51
Look at the third one and the third-last one: 3 + 48 = 51

Every pair you construct in this way adds up to 51 .

There are ( 50/2 ) = 25 pairs.

They all add up to ( 25 pairs ) x ( 51 per pair ) = 1,275

PLEASE HELP!!!the pattern follows the rule, starting with a value of 4, every consecutive row has a value that is 2 less than twice the value of the previous row. What is the value of the fifth row

Answers

Answer:

Step-by-step explanation

1- 4

2- 4(2) - 2 = 6

3- 6(2) - 2 = 10

4- 10(2) - 2 = 18

5- 18(2) -2 = 34

Solve for y y ^ (2/3) = 4

Answers

Answer:

y = 8, −8

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

The weigh of darrins phone is 3.405 ounces. what is 3.405 written in expanded form

Answers

3 x 1 + 4 x 1/10 + 5 x 1/1,000

Simplify the expression 6√2/√3

Answers

6√2/√3

= (6√2)/√3

= 2√6

I hope that's help

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