Answers
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Related Questions
A wise man once said, "500 reduced by 4 times my age is 188." What is his age?
Answers
Answer:
125
Step-by-step explanation:
Answer:
He Is 78 Years Old.
Step-by-step explanation:
a = age
Solve for a in 500 - 4a = 188.
Simplify 500−4a=188.
500−4a=188
500+−4a=188
−4a+500=188
Subtract 500 from both sides.
−4a+500−500=188−500
-4a = -312
Divide both sides by -4.
[tex]\frac{-4a}{-4} =\frac{-312}{-4}[/tex]
a = 78
Answer:
He Is 78 Years Old.
Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and 3 jazz songs on it. Mekala plans to listen to 270 songs.
Answers
Answer:
Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.
Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3
Whatever be total number of songs, let the number of techno songs, country songs,and jazz songs be 4 x, 2 x, and 3 x.
Total number of songs that Mekala plans to Listen = 2 70
Then , 4 x + 2 x + 3 x= 270
9 x = 270
Dividing both sides by 9, we get
x = 30
So, Number of techno songs = 4 × 30= 120
Number of techno songs = 2 × 30= 60
Number of jazz songs = 3 × 30= 90
Option (b) b) Close to 60 country songs but probably not exactly 60 country songs ,is true option regarding number of songs listen by Mekala.
Step-by-step explanation:
Help me solve this, for 15 points, I need it for my homework teehee.
Answers
Answer:
its wrong because verticle angles would need to be opposite of each other, not right next to each other. ACB and FCE would be correct
Step-by-step explanation:
im not too sure how to explain it, verticle angles are across from each other
if you roll a dice one time what is the probability for it to land on a number greater than 2
Answers
Answer:
4/6
Step-by-step explanation:
This is because there is 6 sides to a dice and the side with 1 and 2 are the only sides with numbers less than 2. So only 4 sides out of the 6 can be greater giving the answer 4/6!
the length of a rectangle is twice its width if the perimeter of the rectangle is 72 inches, find its area.
Answers
length = 2 x width
permiter = length x width x 2
perimeter = 72
72 ÷ 2 = 36
36 = 1 length and 1 width
(2 x width) + width = 36
width = x
2x + x = 36
3x = 36
x = 12
width = 12
length = 2 x width = 2 x 12 = 24
so
width = 12
length = 24
Which words name the shape?
Answers
Answer: B, Parallelogram, and rectangle
Step-by-step explanation:
A parallelogram requires two parallel sides which that shape has.
A rectangle requires all angles to be right angles and that shape has all angles being right angles.
The shape is not a rhombus since all sides are not the same and it's not a square for the same reason.
A baseball is hit into the air with an initial vertical velocity of 48 feet per second from
an initial height of 3 feet. How many seconds does it take for the ball to hit the
ground?
Answers
Answer:
16
Step-by-step explanation:
just follow for more answers
HELPPPPP
What is the area of the actual living room?
Answers
Answer:
The answer is 51,200 in².
Step-by-step explanation:
(4x40)x(8x40)=51,200
Please help me thanks
Answers
Answer:
5
Step-by-step explanation:
If you multiply the square root of any number by the square root of the same number you get that number.
please help me :))) i really need help
Answers
1.On field day, the P.E. coach divides the students into two groups, Positives and Negatives. He wants to have the same amount of students of each group on each side of a rope, to play Tug-of-War.
He uses the following expression to figure out how many students of a certain group he still needs to create an even match.
–5 + 20
Evaluate the expression and write the answer below. Write only a number, either positive or negative. No letters
Answers
Answer:
-15
Step-by-step explanation:
because -5 + 20 = -15.
The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)
Please help me with this homework show me how you get it and the answer
Answers
Answer:
Step-by-step explanation:
V = 1/3πr^2h
Putting values
V = 1/3(3.14)(4)^2(3)
= 50.24
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124
families and finds that, on average, those families visit a farmers' market 4.2
times per month with a sample standard deviation of 1.3
. If Mika wants to be 99%
confident (z=2.58
) using this sample, what should her margin of error be and what does it mean?
Answers
Answer:
its B because of the transmission and the forms put together in the same place bio log
i really need help on this one!!
Answers
Answer:
it should be 137 bc its across from it....
Step-by-step explanation:
Which comparison is not correct?
-2 > -7
1 < -9
-3 > -8
6 > 5
Answers
f(x) = x2. What is g(x)?
Answers
Answer:
B
Step-by-step explanation:
Graph shrinks, that means for every x value there is a higher y value. So coefficient of x is definitely more than 1. Try to substitute x = 1 to (9x)^2 and (3x)^2.
(3(1))^2 = 9
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer choices are
3/2
3/4
1/2
-1/4
-1/2
Answers
Answer:
A. 3/2
Step-by-step explanation:
When two exponents have the same base, you can cancel the bases and set the exponents equal to each other
3x-2=x+1
3x=x+3
2x=3
x=3/2
Below is how I did it
help please please please
Answers
Answer:1152 miles
Step-by-step explanation: we know he can drive 384 in 6 hours so if we multiply 6 by 3 its 18 so we must multiply 384 by 3 and the answer would be 1152
The world's largest ice cream cone was 10 feet tall and 3 feet in
diameter. Ice cream weighs about 19.8 pounds per cubic foot. If this cone
was filled with ice cream to the top without going over, approximately how
many pounds of ice cream could this cone hold?
A. 467 pounds
B. 600 pounds
C. 1,400 pounds
D. 1,866 pounds
Answers
Answer:
23.56
Step-by-step explanation:
all you have to do is find the volume
lets set up the equation: V=πr2h 3=π·1.52·10 3≈23.56194
Then round : 23.56
Your final answer is 23.56 You're Welcome!!!
IF YOU HELP ILL GIVE U FREE COOKIE Charlotte earns 212 minutes of playing video games for every 5 math homework problems she completes. Tonight's homework has a total of 24 math problems. What is the MOST time she will be able to play video games tonight? PLEASE HELLPPPPp
Answers
Answer:
16.96hrs or 1017.6mins
Step-by-step explanation:
24 / 8 = 4.8
212 x 4.8 = 1017.6 mins
16.96 hours
I need help with this problem please
Answers
Answer:
the question is incomplete for the answer fam
Step-by-step explanation:
the question is incomplete
7676767676767676767676767
Answers
Answer:
uhhh is this a trick question lol
have a good day :D
Step-by-step explanation:
Someone answer this for me
Answers
Answer:
I think it is B or 17 ft
Step-by-step explanation:
Hope this helps. Tell me if I'm wrong
Answer: Probably 30
Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.
For what value of x is line / parallel to line m in this figure?
Answers
Answer:
132
Step-by-step explanation:
The angle with a measure of 48 degrees and the angle labeled "x" are supplementary angles. Supplementary angles add up to equal 180
This means that we can find the value of the missing angle by subtracting the measure of the known angle from 180
So x = 180 - 48
180 - 48 = 132
Hence, x = 132
*** 10 points**** if you help me
Answers
Answer:
h squared is 65 but h is 8.06
Step-by-step explanation:
use the pythagorean theorem
7^2+4^2=
49+16= 65
square root of 65 is 8.06
hope this helps
Jay wants to spend less than $80 He plans to buy a pair of jeans that cost $19.99 and some shirts that cost \$14.99 each Write an equation or inequality to represent the number of shirts Jay can buy Define all variables used • What is the greatest number of shirts that Jay can buy while spending less than $80 ? Show your work
Answers
Answer:
give me brainllest if it is right
a. $19.99 + $14.99 = $34.98
b. Jay can buy 5 shirts without spending more than $80
Step-by-step explanation:
what is
25% * 1.5 in a fraction
Answers
Answer:
3/8
Step-by-step explanation:
If ive read this correctly it's asking what is 25% times 1.5, that would be 0.25 times 1.5 which is 0.375 turned into a fraction could be 375/1000 or simplified would be 3/8 as both are divisable by 125.
Which ones the right answer?
Answers
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
What percent df 160 is 56? Use the percent bar model.
Answers
Answer:
35%
i think
Step-by-step explanation:
Which correctly describes the effects on the graph of the parent function f(x) = 2x2 - 6 when g(x) = f(x + 5)?
A The graph of g(x) represents a translation of the parent function 5 units to the right.
В.
The graph of g(x) represents a translation of the parent function 5 units to the left.
C. The graph of g(x) represents a translation of the parent function 5 units up.
D. The graph of g(x) represents a translation of the parent function 5 units down.
Answers
Answer:B
Step-by-step explanation: