Answers
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
Related Questions
Determine whether f(x) = 3x + 1 and g(x) = (x-1) / 3 are inverses functions. Group of answer choices There are not inverses since both composition equal x. There are inverses since both composition equal x. There are inverses since both composition equal x + 1. There are not inverses since (f (g(x)) = x + 1
Answers
Answer:
They are inverses since both composition equal x.
Step-by-step explanation:
Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.
Let's look for the inverse of f(x).
Given f(x) = 3x+1
Let y = f(x) so that y = 3x+1
Replace y with x
x = 3y+1
Make y the subject of the formula of the resulting equation;
3y = x-1
y = (x-1)/3
The new function of x will be the inverse of f(x)
Hence f^-1(x) = (x-1)/3 = g(x)
Another way to check is to find their composition. Let's find f(g(x) and g(f(x)
F(g(x)) = f((x-1)/3)
Replace x with (x-1)/3 in f(x)
F(g(x)) = 3[(x-1)/3]+1
F(g(x)) = x-1+1
F(g(x)) = x
Similarly for g(f(x));
g(f(x)) = g(3x+1)
Replace x in g(x) with 3x+1
g(3x+1) = (3x+1-1)/3
g(3x+1) = 3x/3
g(3x+1) = x.
Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions
Round to the nearest ten thousand: 324,799 pls help I dont know how 2 right it
Answers
Answer:
It is 300000...........
Answer:
300,000+20,000+4,000+700+90+9
Step-by-step explanation:
Your welcome!!
Levi earned $489.90 at his job when he worked for 23 hours. What was his hourly wage, in dollars per hour? (HELP!!!!)
Answers
which expression is equivalent to -4.5-6.2y
Answers
Answer:
the answer is 6.2y-4.5
Step-by-step explanation:
Answer:
the answer is A. -6.2y - 4.5
Step-by-step explanation:
got it right on edge, i hope this helps.
13/24 × 3 5/9 multtplying fraction help
Answers
Answer:
31/6
Step-by-step explanation:
Step 1:
13/24 × 3 5/9
Step 2:
13/24 × 32/9
Step 3:
62/12
Answer:
31/6
Hope This Helps :)
What is the Area of the letter E
Answers
Answer:
24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24
Step-by-step explanation:
ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %
Answers
Answer:
First arrange the data in an order
3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21
a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7
Q2 = 2(16)/4 = 16/2 = 8th item = 12
Q3 = 3(16)/4 = 3(4) = 12th item = 17
IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5
b.) 82nd percentile = 82(16)/100 = 13th item = 17
c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%
Step-by-step explanation:
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answers
Answer:
Step-by-step explanation:
21:00 i believe
Name a number greater than 1 that is both a perfect square and a perfect cube. Explain how you know this.
Answers
Answer:
64
Step-by-step explanation:
64 is both a perfect square and a perfect cube.
8*8=64
4*4*4=64
Answer:
hello!
Step-by-step explanation:
lets solve this,
64.
8x8= 64.
4x4x4= 64.
Solve for p in the literal equation 8p+5r=q
Answers
8p + 5r = q
We have to isolate the variable p. Let's begin by subtracting 5r from both sides.
8p = q - 5r
Divide both sides by 8
p = [tex]\frac{q - 5r}{8}[/tex]
[tex]8p + 5r = q[/tex]
Subtract 5r on both sides of the equation.
[tex]8p = - 5r + q[/tex]
Divide both sides of the equation by 8.
[tex]p = \frac{ - 5r + q}{8} [/tex]
25x - 10y = -35
Helpppp
Answers
Answer: x = 1 y = 6
Step-by-step explanation: 25x1=25, -10x6= -60, 25-60=-35.
Have a great day!
(4k² + 8k +2) - (2k + 3)
а. 4k² + 6k + 5
b. 4k²+ 6k - 1
с. 4k²+ 10k +5
d. 4k²+ 6k + 1
Answers
Answer:
Step-by-step explanation:
4k^2 + 8k + 2 - 2k - 3
4k^2 + 6k - 1
answer is B
Answer:
[B] 4k²+ 6k - 1
Explanation:
(4k² + 8k + 2) - (2k + 3)
Remove Parenthesis
4k² + 8k + 2 - 2k + 3
-2k + 3: -2k - 3
= 4k² + 8k + 2 - 2k - 3
Simplify
4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1
= 4k²+ 6k - 1
- PNW
70,000 inches equals how many miles
Answers
Answer:
1.104798 miles
Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
Answers
Answer:
80
Step-by-step explanation:
20 / 25 = 0.8 = 80%
Answer:
80%
Step-by-step explanation:
20/25 = 0.8 = 80%
Find Slope (3,-4)and(9,-4)
Answers
Answer:
The slope is zero (0)
Step-by-step explanation:
-4-(-4)/ 3-9
0/-6
0
Lifelike Studios charges a one time sitting fee to take your photograph, then adds 50 cents for each photograph you order. Based on the information given in the graph, how much does Lifelike Studios charge for the sitting fee?
Answers
SOMEONE PLEASE HELP ME WITH THIS QUESTION 2.5x - 3 = 2x - 2
I don't get what x is equal to
Answers
Answer:
2
Step-by-step explanation:
Use the property of equality :)
4c-d for c please help!
Answers
Answer:
c=d/4
Step-by-step explanation:
we have to get c by itself...first we have to add d t the other side of the equation so
4c=d now since 4 is being multiplied by c we have to divide it out.
c=d/4
For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.
What are the possible numbers of minutes she has used her phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly fee = $17
Additional fee per unit of use = $0.05
Least amount she's been charged in a month = $83.90
Equation to represent the number of minutes 'M':
monthly fee + (additional fee per minute × M) = $83.90
Possible number of minutes :
83.90 ≤ $17 + 0.05M
$17 + $0.05 × M = $83.90
$0.05*M = $83.90 - $17
$0.05*M = $66.90
M = $66.90 / 0.05
M = 1,338 minutes
What is 8,541 rounded to the nearest thousand?
A) 8,500
B) 8,000
C) 8,600
D)9,000
ANSWER PLEASE
Answers
Step-by-step explanation:
Answer:
Question What is 8,541 rounded to the nearest thousand? Answer D)9000
Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]
Mike and Julie are making slime. The table shows the number of drops of blue food coloring and the number of drops of red food coloring they use in each batch Drops of Food Coloring Number of blue drops Number of red drops 20 4 40 8 60 12 80 16 What is the constant of proportionality of the ratio of the number of blue drops used to the number of red drops used? 0.2 0.5 2 5
Answers
Answer:
5 drops
Step-by-step explanation:
Factor Completely 4x^3 - 6x^2 + 16x - 24
Answers
Answer: 2(x+2i)(x-2i)(2x-3)
Step-by-step explanation:
Answer:
I got this answer.
Is it correct
How many more dollars will you spend if you buy 12 cookies at Charlie’s Cookies instead of buy 12 cookies at Sam’s?
Sam’s cookies 6 $8.00 Charlie’s cookies 4 $7.00
Answers
Step-by-step explanation:
Sam's cookies = $16 for 12
Charlie's cookies = $21 for 12
$5 more when buying Charlies other than Sam's
Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough colories to lose 4 pounds per week, then how many weeks will poss before Mr. Andrews weighs 228 pounds? Variable: bit bin Solutions
Answers
Answer:
6.5
Step-by-step explanation:
it will take Me. andrews 6.5 weeks to get to 228 pounds
Which expressions are equivalent to k/2 ?
Answers
Answer: (1/2)k
Step-by-step explanation:
Answer:
1/2 kand k/2
Step-by-step explanation:
find the midpoint of the segment with the following endpoints (8,7) and (5,4)
Answers
(Y1-Y2)/2 = 7-4/2 = 1.5
Now add (1.5,1.5) to (5,4) u get the mid point (6.5,5.5)
36,700-(5,000+500m)=
Answers
-31200
5000 + 500 = 5500
5500- 36700 = -31200
Answer: 31, 200
Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200
Please help I will give Brainlyest
What is the constant of proportionality in the equation Y= ĝ?
0 0
colo
0 1
Answers
I know it’s right
If g(x) = 10 + 2x what is g(-3)
Answers
Answer:
4
Step-by-step explanation:
[tex]g(x)=10+2x\\\\g(-3)=10+2(-3)\\\\g(-3)=10+-6\\\\g(-3)=10-6\\\\\boxed{g(-3)=4}[/tex]
Hope this helps.
HELLLP!!!!!!!!!!! PLS
Answers
Answer:
3 * 4/4 = 12/4
12/4 + 1/4 = 13/4
One fraction: 13/4
Mixed number [tex]3 \frac{1}{4}[/tex]