Answers
Answer:
XY is a tangent
Step-by-step explanation:
Given
[tex]XY = 12[/tex]
[tex]WY = 20[/tex]
[tex]WZ = 8[/tex]
Required
Is XY a tangent?
XY is a tangent if:
[tex]WY^2 = XY^2 + WX^2[/tex]
Because XY should make a right angle at point X with the circle
Where
[tex]WX = 2 * WZ[/tex]
So, we have:
[tex]WY^2 = XY^2 + WX^2[/tex]
[tex]WY^2 = XY^2 + (2*WZ)^2[/tex]
[tex]WY^2 = XY^2 + (2WZ)^2[/tex]
[tex]WY^2 = XY^2 + 4WZ^2[/tex]
This gives:
[tex]20^2 = 12^2 + 4*8^2[/tex]
[tex]400 = 144 + 256[/tex]
[tex]400 = 400[/tex]
Yes, XY is a tangent
Related Questions
Identify JK. JK and JM are tangent to W.
Answers
Answer:
B. 8
Step-by-step explanation:
Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.
Therefore:
JK = JM
Substitute
5x - 12 = x + 4
Collect like terms
5x - x = 12 + 4
4x = 16
4x/4 = 16/4
x = 4
✔️JK = 5x - 12
Plug in the value of x
JK = 5(4) - 12
JK = 20 - 12
JK = 8
In what form is the following linear equation written?
y=9x + 2
A. Standard
B. Rise-run
C. Slope-intercept
D. Point-slope
Answers
9514 1404 393
Answer:
C. Slope-intercept
Step-by-step explanation:
There are numerous forms of the equation of a line. Here are a few.
y = mx + b . . . . slope-intercept form; slope m, y-intercept b
y -k = m(x -h) . . . . point-slope form; point (h, k), slope m
ax +by = c . . . . standard form; mutually prime integers, a > 0
x/a +y/b = 1 . . . . intercept form; x-intercept a, y-intercept b
ax +by +c = 0 . . . . general form
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form; points (x1, y1), (x2, y2)
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1) . . . . you might call this rise-run form
__
The given equation best matches slope-intercept form; slope 9, y-intercept 2.
Enter the slope-intercept equation of the line shown below
Answers
Answer:
Step-by-step explanation:
y = -2x - 4
A model rocket is launch from a platform 17 feet high in the initial velocity is 40 ft The path of the rocket is modeled by the equation 16x^2 +40X +17=0 When does the rocket land
Answers
Answer:
It will be in the air until P(x) is zero.
P(x) = -16x2 + 32x = -16x(x - 2)
P(x) = 0 ⇒ x = 0 or x = 2
It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.
Is quadrilateral UVWX a parallelogram? Why or why not?
A)
There isn't enough information.
B)
Yes, because adjacent sides aren't perpendicular.
C)
No, because opposite sides aren't congruent.
D)
Yes, because opposite sides are parallel.
Answers
Answer:
D) Yes, because opposite sides are parallel.
Step-by-step explanation:
I have no idea what this is.
g(-9)
Answers
If that is the case, the answer is 1
At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours. Classify the hypothesis test as left-tailed, right-tailed, or two-tailed.
a. Two-tailed
b. Right-tailed
c. Left-tailed
Answers
Answer:
Left Tailed
Step-by-step explanation :
Hypothesis Testing is done to test statistical significance of a mathematical assumption. Null Hypothesis is neutral hypothesis, Alternate Hypothesis shows deviation from neutral (null) hypothesis.
Null Hypothesis [H0] : Mean TV time = 21.6 hours
Alternate Hypothesis [H1] : Mean TV time < 21.6 hours
In left tailed test, alternate hypothesis states value less than null hypothesis assumed value. In right tailed test, alternate hypothesis states value greater than null hypothesis assumed value. In two tailed test, alternate hypothesis states value unequal (greater or less than) null hypothesis assumed value.
So, this case has left tailed test.
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The slope is 3 and the y-intercept is 4. How much more is the slope of function A than the slope of function B? 2 3 6 9
Answers
Answer:
6
Step-by-step explanation:
9 - 3 = 6
Answer: C
Step-by-step explanation:
Find the missing side of each right triangle (Pythagorean’s #Theorem)
Answers
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
b = 3A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.
Answers
9514 1404 393
Answer:
y = -5x -8
Step-by-step explanation:
The y-intercept can be found from ...
b = y -mx
Using the first point, we have ...
b = 2 -(-5)(-2) = -8
Then the slope-intercept equation is ...
y = mx + b . . . . . . . . for slope m and y-intercept b
y = -5x -8
Answer:
the answer is
y=-5×-8
Step-by-step explanation:
:))
9. Find the length AD of the shape given below, giving your answer correct to 2
decimal places.
Answers
Answer:
Length of AD = 10.47 meter (Approx.)
Step-by-step explanation:
Given:
Triangle ACB is a right angle triangle
Length of AC = 14.8 m
Length of CB = 5.5 m
Length of CD = 6.4 m
Find:
Length of AD
Computation:
Using Pythagorean theorem
Base = √Hypoteneus² - Perpendicular²
Length of AB = √14.8² - 5.5²
Length of AB = 13.74 m
Length of DB = √6.4² - 5.5²
Length of DB = 3.27
Length of AD = Length of AB - Length of DB
Length of AD = 13.74 - 3.27
Length of AD = 10.47
Length of AD = 10.47 meter (Approx.)
please help
-i think it’s equivalent but i’m not really sure
-will reward brainliest
Answers
Answer:
They're literally right on top of each other, u got this
Step-by-step explanation:
they are equivalent
4. Find the volume of the of the cylinder.
24
20
in
in
120
in
Answers
Answer:
[tex] V_{cylinder} =16,579.2\: in^3 [/tex]
Step-by-step explanation:
Inner radius [tex] (r_1)[/tex] = 20/2 = 10 in
Outer radius [tex] (r_2)[/tex] = 24/2 = 12 in
Height of the cylinder (h) = 120 in
[tex] \because V_{cylinder} =\pi( r_2^2-r_1^2) h[/tex]
[tex] \therefore V_{cylinder} =3.14(12^2-10^2) 120[/tex]
[tex] \therefore V_{cylinder} =376.8(12^2-10^2) [/tex]
[tex] \therefore V_{cylinder} =376.8(144-100) [/tex]
[tex] \therefore V_{cylinder} =376.8(44) [/tex]
[tex] \therefore V_{cylinder} =16,579.2\: in^3 [/tex]
what instrument would you use to measure the following:speed
Answers
Answer:
speedometre
Step-by-step explanation:
it's used for mostly by police officer s
Answer:
Speedometer
Step-by-step explanation:
Mainly used to determine the speed of a vehicle
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media often. In a marketing survey, they find that customers between age 18 and 34 years send an average of 48 texts per day with a standard deviation of 12. The number of texts sent per day are normally distributed.
Required:
a. A customer who sends 78 messages per day would correspond to what percentile?
b. A customer who sends 78 messages per day would be at ______th percentile.
Answers
Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average of 48 texts per day with a standard deviation of 12.
This means that [tex]\mu = 48, \sigma = 12[/tex]
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 48}{12}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.
Simplify the following expression.
1/2 divided by 1/10
A. 1 whole 1/3
B. 1/20
C. 5
D. 1/5
Answers
Answer:
I got C.)5
Step-by-step explanation:
Which expression is not equal to 30
Answers
Answer:
(2 * 60 / 30) * (24 + 2) is not equal to 30
Step-by-step explanation:
1. (9 * 10) / (4 + 1 ) + 12 = 30
2. 2 + (30 - 8 / 4) = 30
3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]
4. (120 / 20) * (2 + 3) = 30
Therefore, the third expression is not equal to 30.
Thenks and mark me brainliest :)
there are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them. how many kids own their own instrument?
Answers
Answer:
18 kids
Step-by-step explanation:
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
Answers
Answer: 1
Step-by-step explanation:
If x = 0
then, f(x) = 1 - 0
f(x) = 1
x = ±1
Let f(x)=0
1-x²=0-x²=-1x²=1x=±1In our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s.
A. Change the number 100 (base ten) to a numeral in base two.
B. Change the number 1010101 (base two) to a numeral in base ten.
C. This is a fun problem! The moon is approximately 238,900miles from Earth.
Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the moon and come back to Earth? In this episode, Leonard and the other guys send laser signal to the moon and back. Leonard will tell you how long it took for the signal to go to the moon and back.
Answers
Answer:
1100100 base 2
85 base 10
2.522784 seconds
Step-by-step explanation:
Convert 100 from base 10 to the base 2
Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.
2 | 100
2 | 50 r 0
2 | 25 r 0
2 | 12 r 1
2 | 6 r 0
2 | 3 r 0
2 | 1 r 1
__0 r 1
Arranging from the bottom : 1100100 base 2
100 base 10 = 1100100 base 2
1010101 base 2 to base 10
1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0
64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10
C)
1 mile = 5280 feets
Distance from earth to moon = 238900 miles
Distance in feets :
(5280 * 238900) = 1261392000 feets
Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets
Using the relation :
Speed = distance / time
Speed = 1 feet per nano second
Distance = 2522784000 feets
1 = 2522784000 / time
Time = 2522784000 nano seconds
Converting to second :
2522784000 / 1000000000
= 2.522784 seconds
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answers
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
Numerical expressions for add 12 to 8 then multiply by 5
Answers
Answer:
(12 + 8) x 5
Step-by-step explanation:
please help will give brainliest !!
Complete the following Truth Table
p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)
Answers
Please help
Hassan jarred 12 liters of jam after 6 days. How many days does Hassan need to
spend making jam if he wants to jar 14 liters of jam in all? Assume the relationship
is directly proportional.
Answers
Answer: 7 days
Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answers
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
Given that f(x) = x2 - 5x+6, evaluate the function f(6).
Answers
Answer:
f(6) = 12
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2 - 5x + 6[/tex]
Evaluate the function f(6).
This is [tex]f(x)[/tex] when [tex]x = 6[/tex]. So
[tex]f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12[/tex]
f(6) = 12 is the answer.
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Answer:
Step-by-step explanation:
cos(30) = Adj/hyp
cos(30) = 6 /x
x = 6 / cos(30)
x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)
x = 12 / [tex]\sqrt{3}[/tex]
( 12 / [tex]\sqrt{3}[/tex] )^2 = 6^2 + y^2
( 12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2
144/3 -36 = y^2
48-36=y^2
12 = y^2
[tex]\sqrt{12}[/tex] = y
Find value of x that will make a||b
Answers
Answer:
x = 4
Step-by-step explanation:
If line A is parallel to line B, therefore,
9x + 4 = 5x + 20 (alternate interior angles theorem)
Solve for x. Collect like terms together
9x - 5x = -4 + 20
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
Therefore, the value of x that will make lime A parallel to line B is 4
give the other person brainiest please
Answers
Answer:
what??????????????????????
Step-by-step explanation:
Answer:
am pro am big brain two
:D
Step-by-step explanation:
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Will reward points!!! Someone please help me!!
Answers
You want solved
five hours later
the box is still black
i’m losing faith in you
please..:: tell me what your question is