Answers
I suppose as we don't see correctely the 2nd image, that it is the first one.
Angles DOY and DKY intersept then same arc are equals.
5x+15=3x+21
==>2x=6
==>x=3 and 5x+15=5*3+15=30°, 3x+21=3*3+21=30°
Angle OYK=15x=15*3=45°
Angle ODK=9x+18=9*3+18=45° =Angle OYK which intersept the same arc.
Related Questions
The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h more than the car. determine the average speeds of the cyclist and the car.
Answers
To determine the speeds, we set up relative speed equations and solve for 'x'. The cyclist's average speed is 15 km/h and the car's average speed is 45 km/h.
Explanation:Let's denote the cyclist's speed as 'x' km/h and the car's speed as '3x' km/h (since it's three times the cyclist's speed).
Given that speed is distance over time, we can set up the following equations:
For the cyclist: 225km / x = time, and for the car: 225km / 3x = time - 5.
By equating these two expressions, we get: 225/x = 225/3x + 5.
Solving this equation for 'x', we get x = 15. Thus, the average speed of the cyclist is 15 km/h and the car (3x) is 45 km/h.
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In a "torture test" a light switch is turned on and off until it fails. if the probability that the switch will fail any time it is turned on or off is 0.001, what is the probability that the switch will fail after it has been turned on or off 1,200 times?
Answers
This is a relatively low probability. We see that even if the probability that the switch fails one time is very low, after many repetitions it becomes quite probable that the switch will fail at least one time.
Final answer:
The probability of a light switch failing after 1,200 operations can be calculated by first finding the likelihood of it not failing across those operations with the formula [tex]0.999^{1200}[/tex], and then subtracting that result from 1.
Explanation:
The question asks about the probability that a light switch will fail after being turned on or off 1,200 times, given that the probability it will fail on any given operation is 0.001. This can be approached by calculating the probability that the switch does not fail in all 1,200 operations and then subtracting that probability from 1.
To calculate the probability of the switch not failing in a single operation, we subtract the failure probability from 1: 1 - 0.001 = 0.999. The probability of the switch not failing in all 1,200 operations is [tex]0.999^{1200}[/tex].
Finally, the probability of the switch failing at least once in 1,200 operations is [tex]1 - 0.999^{1200}[/tex]. When you calculate this, it gives the probability of failure after 1,200 operations.
y = x – 6
x = –4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answers
the answer is (-4 -8)
Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If both wheels did a total of 4 rotations, how much farther did the larger wheel travel?
Answers
.. 4*2πr = 8πr . . . . feet
The larger wheel rolled
.. 4*2π*2r = 16πr . . feet
The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.
gina is traveling to the beach 20 miles away from her house.On Ginas map her house and the beach are 4 inches apart what is the scale used for Ginas map
Answers
Gina is travelling to the beach 20 miles away from her house.
On Ginas map her house and the beach are 4 inches apart
That is a distance of 20 miles is represented by the Ginas map in 4 inches
Therefore, on Ginas map one inch will be = 20/4 miles = 5 miles
So, the scale used for Gina's map is 1 inch = 5 miles
Hope this helps..!!
Thank you :)
Natalie picked 135 berries in 15 minutes if she continues picking at that rate how long will it take her to pick 486 berries? @skullpatrol,
Answers
Math help!!!!!!!!!!!!!!
Answers
40,059 ; 40,095 ; 40.509 ; and 40,905
Answer:
The answer is E
Step-by-step explanation:
$1200.00 is deposited into an account that earns 6.5% interest, which is compounded four times per year. How much money will be in the account after 6 years?
Answers
What are the estimated annual wages for a person who earns 10.25 an hour
Answers
Assumed the person worked 5 days a week
Assumed all other vacation the person takes during the year are paid holiday.
One day:
10.25 x 8 = $82
One week:
$82 x 5 = $410
One year:
$410 x 52 = $21320
What is the value of n? Enter your answer in the box.
Answers
Answer:
n=6
Step-by-step explanation:
Since, we know that when two chords intersect each other inside a circle, the products of their segments are equal. Thus, using this property, we have
[tex](n+8)5=(n+4)7[/tex]
⇒[tex]5n+40=7n+28[/tex]
⇒[tex]40-28=7n-5n[/tex]
⇒[tex]12=2n[/tex]
⇒[tex]n=6[/tex]
Thus, the value of n is 6.
Answer:
[tex]n=6[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the value of n.
We can see that two chords of our given circle are intersecting inside it, so we will use intersecting chords theorem to solve for n.
Intersecting chords theorem states that when two chords of a circle intersect inside the circle, then product of the segments of both chords is equal.
Using intersecting chords theorem we can set an equation as:
[tex]5(n+8)=7(n+4)[/tex]
Using distributive property [tex]a(b+c)=a*b+a*c[/tex] we will get,
[tex]5*n+5*8=7*n+7*4[/tex]
[tex]5n+40=7n+28[/tex]
Subtracting 40 and 7n from both sides we will get,
[tex]5n-7n+40-40=7n-7n+28-40[/tex]
[tex]-2n=-12[/tex]
Dividing both sides by -2 we will get,
[tex]\frac{-2n}{-2}=\frac{-12}{-2}[/tex]
[tex]n=6[/tex]
Therefore, the value of n is 6.
*URGENT ALGEBRA 2* Anyone know these answers? Choices provided. Will award brainliest.
Answers
Question 1. Translate y = 2/x 3 units to the left and 4 units up.
Answer:
2
y = -------- + 4 <------- the fourth option
(x + 3)
Explanation:
1) Given function:
y = f(x) = 2 / x
2) Translatiing 3 units to the left is making f(x + 3), so that implies:
y = 2 / (x + 3)
3) Translating 4 units up is making f(x + 3) + 4, so that implies:
2
y = -------- + 4
(x + 3)
Which is the fourth option.
Question 2. simplify
t^2 + 2t - 24
----------------
t^2 - 36
Answer: fourth option
t - 4
------ , with t ≠ - 6 and t ≠ 6.
t + 6
Explanation:
1) Factor the numerator:
t^2 + 2t - 24 = (t + 6) (t - 4)
2) Factor the denominator:
t^2 - 36 = (t + 6) (t - 6)
3) Rewrite the fraction:
(t + 6) (t - 4)
-------------------
(t + 6) (t - 6)
4) Cancel the factor t + 6 which is in both numerator and denominator, which you can do only y t + 6 ≠ 0 => t ≠ -6.
t - 4
-------
t - 6
That is the simplified expression, with the restrictions that t ≠ - 6 and t ≠ 6, because the denominator cannot be 0.
Question 3. Find the product of:
x^2 + 7x + 10 x^2 - 3x - 18
------------------ * ---------------------
x + 3 x^2 + x - 2
Answer: the fhird option:
(x + 5) (x - 6)
------------------
x - 1
with x ≠ -3, x ≠ - 2, and x ≠ 1.
Explanation:
1) Factor x^2 + 7x + 10
x^2 + 7x + 10 = (x + 5) (x + 2)
2) Factor x^2 - 3x - 18
x^2 - 3x - 18 = (x - 6)(x + 3)
3) Factor x^2 + x - 2
x^2 + x - 2 = (x + 2) (x - 1)
4) Rewrite the given expression using the factors:
(x + 5) (x + 2) (x - 6) (x + 3)
--------------------------------------
(x + 3) (x + 2) (x - 1)
5) Cancel the factors that appear on both the numerator and denominator:
(x + 5) (x - 6)
------------------
x - 1
The restrictions are those values of x that make any factor that is or was in the denominator: x ≠ -3, x ≠ - 2, and x ≠ 1.
Question 4. Simplify the complex fraction:
n - 4
------------------
n^2 - 2n - 15
--------------------------
n + 1
-----------
n + 3
Answer: option 4.
n - 4
------------------
(n - 5) ( n + 3)
Explanation
1) Factor n^2 - 2n - 15
n^2 - 2n - 15 = (n - 5)(n + 3)
2) rewrite the expression:
n - 4
---------------------
(n - 5) ( n + 3)
----------------------------
n + 1
----------
n + 3
3) Convert (n + 1) / (n + 3) into its reciprocal (n + 3) / (n + 1), and multiply instead of dividing.
n - 4 n + 3
--------------------- * --------
(n - 5) ( n + 3) ( n + 1)
4) Cancel n + 3
n - 4
------------------
(n - 5) ( n + 3)
That is the simplest form.
Question 5. Find the difference
Answer: second choice
1 - n
--------
n + 4
Explanation:
1) given:
n^2 + 3n + 2 2n
----------------- - -------
n^2 + 6n + 8 n + 4
2) factor the two quadratic trinomials
n^2 + 3n + 2 = (n + 2) ( n + 1)
n^2 + 6n + 8 = (n + 4) (n + 2)
3) Rewrite the expression:
(n + 2) (n + 1) 2n
----------------------- - -------
(n + 4 ) (n + 2) n + 4
4) cancel the factor n + 2
n + 1 2n
----------- - --------
n + 4 n + 4
5) subract the fractions. They have the same denominator.
n + 1 - 2n 1 - n
--------------- = ----------
n + 4 n + 4
And that is the simples form.
Question 6. Problem
Irina paints 1 room in 9 hours
Paulo paints 1 room in 8 hours
How long working together?
Answer:
x / 9 + x / 8 = 1, x ≈ 4.24 hours
Explanation:
1) In the time x, Irina will paint x / 9 parts of the room
2) Paulo will paint (in the same time) x / 8 parts of the same room
3) The total painted is 1 room.
So the equation is:
x / 9 + x / 8 = 1
4) The solution of that equation is:
[8x + 9x ] / (9*8) = 1
=> 8x + 9x = 72
=> 17x = 72
=> x = 72 / 17
=> x ≈ 4.24 hours
Heidi's hair was 2/3 of a meter long. her grandfather cut off 1/6 of a meter of her hair. how long is heidi's hair now?
Answers
PLEASE HELP!!!!!!
A reflecting telescope is purchased by a library for a new astronomy program. The telescope has a horizontal parabolic frame and contains two mirrors, 3 inches apart from each other- the first in the base and the second at the focal point. The astronomy teacher would like to attach a digital monitoring system on the edge of the telescope, creating a straight line distance above the focal point. Assuming that the telescope is placed on the edge of the roof in such a way that it is parallel to the ground, the position of the monitoring system, in relationship to the distance between the base and the focal point is modeled by the equation, x =[tex] \frac{1}{12} [/tex] y2 (x = the distance between the base and the focal point; y= the height of the monitoring system).
Rewrite the model so that the height of the digital monitoring system is a function of the distance between the base and the focal point of the telescope. How high above the focal point is the digital monitoring system attached to the telescope? Include your function and the height, rounded to the nearest tenth of an inch, in your final answer.
Answers
[tex]x= \frac{1}{12} y^{2} [/tex]
[tex]12x=y^{2}[/tex]
[tex] \sqrt{12x}=y [/tex]
[tex]f(x)=2 \sqrt{3x} [/tex]
We have replaced y with f(x) to show that it is a function.
For the second part we just use the fact that the two mirrors are 3 inches apart. From the definition of the variables we know that this is just the value of x. We plug this into the function to know how high above the focal point the digital monitoring system is attached.
[tex]f(3)=2 \sqrt{3(3)}=2\sqrt{9}=2(3)=6[/tex]
ANSWER: The function is given by [tex]f(x)=2 \sqrt{3x} [/tex] and the digital monitoring system is 6.0 inches above the focal point.
Final answer:
To find the height of the digital monitoring system, we rearrange the given parabolic equation to solve for y, substitute the known distance of 3 inches, and determine that the monitoring system is attached 6 inches above the focal point.
Explanation:
The equation given for the reflecting telescope by the library for their astronomy program is x = \frac{1}{12} y^2. To solve for the height of the digital monitoring system as a function of the distance x, we need to rewrite the equation in terms of y. First, we multiply both sides by 12 to get 12x = y^2. Then, take the square root of both sides to solve for y, which gives us y = \sqrt{12x}. Given that the distance between the base and the focal point is 3 inches, we substitute x with 3 to find the height of the monitoring system. Thus, we have y = \sqrt{12 \cdot 3} which simplifies to y = \sqrt{36} or y = 6 inches. This means the digital monitoring system is attached 6 inches above the focal point of the telescope.
Which of the following is true regarding the solution to the logarithmic equation below?
Answers
Answer:
Option C. is the correct option.
Step-by-step explanation:
The given expression is [tex]log_{2}(x+11)=4[/tex]
We further solve this
[tex](x+11)=2^{4}=16[/tex]
[tex]x = 16-11=5[/tex]
Now we evaluate the options
A). [tex]log_{5}16\neq 2[/tex]
But the expression is given as [tex]log_{2}(x+11)=4[/tex]
Wrong expression so not correct.
B). [tex]log_{5}16\neq 4[/tex]
Wrong expression again so not correct
C). By putting x = 5 in the expression
[tex]log_{2}(x+11)=4[/tex]
[tex]log_{2}(5+11)=log_{2}(16)=log_{2}(2^{4})=4[/tex]
Therefore this option is the correct option.
D). By putting x = 5 in the expression
[tex]log_{4}(5+11)=log_{4}(16)=log_{4}(4^{2})=2[/tex]
But the expression is [tex]log_{2}(x+11)=4[/tex]
So this option is also not correct.
Answer:
c
Step-by-step explanation:
What is the common difference in the arithmetic sequence -4x,-x,2x,5x,8x,... ?
Answers
Clark left for school at 7:43 am he git to school 36 minutes later.what time. Did clark get to school???
Answers
Hope this helps :)
There are 60 minutes in an hour.
43+36= 79
That is 1 hour and 19 minutes.
7+1= 8
8:19 is the time Clark got to school.
I hope this helps!
~kaikers
A building that is 115 feet tall casts a shadow that is 190 feet long. determine the angle at which the rays of the sun hit the ground to the nearest degree.
Answers
The angle at which the rays of the sun hit the ground is equivalent to {β} = 31.22°.
What is the meaning of the angle of depression?Its an angle that is formed with the horizontal line if the line of sight is downward from the horizontal line.
Given is that a building that is 115 feet tall casts a shadow that is 190 feet long
Assume that the angle of elevation or the angle at which the rays of the sun hit the ground is equivalent to {β}. Then, with respect to the question, we can write -
tan{β} = (height of building)/(length of shadow)
tan{β} = (115/190)
tan{β} = 0.606
{β} = tan⁻¹(0.606)
{β} = 31.22°
Therefore, the angle at which the rays of the sun hit the ground is equivalent to {β} = 31.22°.
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-22+0.3z=3-0.5z-0.8z
Answers
-25 = -1.6z
1.6z = 25
z = 15.625
Hope this helps!
natalie guessed on the last four true or false questions on her math quiz. what is the probability that she got all four quiz questions correct?
Answers
what's the probability she got one correct, well, the favorable outcomes is 1, possible outcomes is 2, so 1/2.
what's the probability that she got all four correct, we simply multiply the probability of each,
[tex]\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{16}\implies 0.0625\qquad or\qquad 6.25\%[/tex]
The probability that Natalie got all four quiz questions correct after guessing would be 6. 25 %.
How to find the probability ?If Natalie guessed on the last four true or false questions, there are two possible outcomes for each question (correct or incorrect), and she has a 50% chance of guessing correctly for each question since there are only two options.
To find the probability that she got all four quiz questions correct, you can multiply the probabilities for each question:
Probability of guessing a question correctly = 0.5 (since there are 2 options, and she has a 50% chance of guessing correctly)
Probability of getting all four questions correct = (0.5) * (0.5) * (0.5) * (0.5)
= 0.0625
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WILL GIVE BRAINLIEST FOR CORRECT ANSWER!
How is energy transferred during the water cycle
A. water gains energy during evaporation and condensation
B. water gains energy in condensation and releases it in evaporation
C. water releases energy during evaporation and condensation
D. water gains energy during evaporation and releases it during condensation
Answers
During water cycle , Water in liquid state absorbs tremendous amounts of incoming solar energy causing it to evaporate and it is released back in the atmosphere while the formation of clouds during Condensation .
Hence , We got our answer as D.
Hope it helps you :)
Jason can paint a room in 6 hours. Lorissa can paint a room in only 3 hours. Which of the following can be used to determine the amount of time it would take for Jason and Lorissa to paint a room together?
a-1 over 6 plus 1 over 3 equals 1 over x
b-1 over x plus 1 over 3 equals 1 over 6
c-1 over 6 plus 1 over x equals 1 over 3
d-1 over 3 plus 1 over 6 equals x over 9
Answers
PLS PLS PLS HELP I rly need help in geometry
Answers
[tex]\bf \cfrac{10x-2}{7x}=\cfrac{8x}{5x+3}\implies (10x-2)(5x+3)=(7x)(8x) \\\\\\ 50x^2-10x+30x-6=56x^2\implies 0=6x^2-20x+6 \\\\\\ 0=3x^2-10x+3\implies 0=(3x-1)(x-3)\implies x= \begin{cases} \frac{1}{3}\\\\ 3 \end{cases}[/tex]
The feel better spa has two specials for new members. They can receive 3 facials and 5 manicures for $114 or 3 facials and 2 manicures for $78
Answers
Using the definition of even and odd functions explain why y= sin x+ 1 is neither even or odd ?
Can you show how you worked it out cause I'm not sure on how to plug it in exactly
Answers
The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x).
The odd functions have rotational symmetry of 180º with respect to the origin.
For y = without x + 1 we have:
Let's see if it's even:
f (-x) = sin (-x) + 1
f (-x) = -sin (x) + 1
It is NOT even because it does not meet f (- x) = f (x)
Let's see if it's odd:
f (-x) = sin (-x) + 1
f (-x) = -sin (x) + 1
It is NOT odd because it does not comply with f (- x) = - f (x)
Answer:
It is not even and it is not odd.
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Answers
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x = [tex] 36x^{2} [/tex] Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
[tex] 36x^{2} + 12x -12x - 4 [/tex]
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
[tex]36 x^{2} - 4 [/tex] This is your product
If you can't see the images here
36x2 − 4
The area of a square is greater than the area of the circle by 12 cm². find the length of the side of a square if the area of the circle is 36 cm².
Answers
48cm^2
area of a square: side x side
48cm^2=side1^2 (sides of squares are all equal, so the same length is being multiplied by itself)
√ 48 cm^2
one side:
4√ 3 cm, or approximately 6.93cm
Final answer:
To find the length of a side of the square, calculate the square root of the sum of the areas of the circle (36 cm²) and the additional 12 cm². This results in a square side length of approximately 6.93 cm.
Explanation:
We are given that the area of the circle is 36 cm², and we know that the area of a square is greater than the area of the circle by 12 cm², which means the area of the square is 36 cm² + 12 cm² = 48 cm².
The area of a square is given by A = a², where a is the length of the side of the square. So, we need to find the value of a that satisfies the equation a² = 48 cm².
By taking the square root of both sides of the equation, we get a = √(48 cm²). Simplifying the square root of 48 gives us a ≈ 6.93 cm. Therefore, the length of a side of the square is approximately 6.93 cm.
The diameter of your bicycle wheel is 25 inches. How far will you move in two turns of your wheel? Use 3.14 for π.
A) about 39 inches
B) about 78 inches
C) about 157 inches
D) about 314 inches
Answers
[tex]circumference \: = 2\pi \: r [/tex]
diameter = 25 inches
radius = 25/2
= 12.5 inches
= 2(3.14)(12.5)
= 78.5 inches ( for a turn )
Two turns = 78.5 inches X 2
= 157 inches
C.
Answer: D) About 314 inches
Step-by-step explanation:
Since, the radius of the wheel = 25 inches
Also, the angle in one turns of the wheel [tex]= 2\pi[/tex]
⇒ The angle in 2 turn of the wheel [tex]= 4\pi[/tex]
Hence, the distance it will cover in two turns
[tex]= 4\pi\times 25[/tex] ( Arc length = central angle × radius)
[tex]= 4\times 3.14\times 25[/tex]
[tex]=314.159265\approx 314\text{ inches}[/tex]
⇒ Fourth option is correct.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
°
Answers
Answer:
The measure of the ∠A is 59°.
Step-by-step explanation:
It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.
Therefore, ∠A+∠C=180°
⇒[tex]A+121^{\circ}=180^{\circ}[/tex]
⇒[tex]A=180-121[/tex]
⇒[tex]A=59^{\circ}[/tex]
Therefore, the measure of the ∠A is 59°.
Apologies on this being 4 years late, but to anyone else who stumbles across this; answer is 59°
I had taken the test and got it correct
Good luck, and i hope this helps!! :]
what is the volume of a spear with the radius of 6in.
Answers
a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately normally distributed for the 1208 graduating seniors. This mean score on the test was a 74 and the standard deviation was 11. what percent of the graduating seniors had a test above 85? Express your answers to the nearest percent.
Answers
Based on the mean score of the test, the percentage of students who scored above 85% in the test was 16%.
Which students scored above 85 in the test?Based on the fact that this distribution is normally distributed, the percentage of students that scored higher or lower than 85% within 1 standard deviation is:
= 100% - 68%
= 32%
The number of students who scored above 85% would therefore be:
= 32% / 2
= 16%
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