Answers
Applying the inscribed angle theorem, the missing measures are:
measure of arc TR = 106°
measure of arc TL = 74°
m∠L = 50°
m∠R = 37°
m∠RTV = 37°
The Inscribed Angle TheoremMeasure of an inscribed angle = half the measure of the arc it intercepts
Central angle = measure of intercepted arc
We are given the following:
LR and TV are diameters of the circle O.
m∠TOR = 106° (central angle)
Find measure of arc TR:
measure of arc TR = m∠TOR
measure of arc TR = 106°
Find measure of arc TL:
measure of arc TL = 180° - m∠TOR
measure of arc TL = 180° - 106°
measure of arc TL = 74°
Find m∠L:
m∠L = ½(measure of arc TR)
m∠L = ½(106°)
m∠L = 50°
Find m∠R:
m∠R = ½(measure of arc TL)
m∠R = ½(74°)
m∠R = 37°
Find m∠RTV:
m∠RTV = ½(measure of arc RV)
m∠RTV = ½(180 - 106)
m∠RTV = ½(74)
m∠RTV = 37°
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Related Questions
give that 1/x+2/y=1/2, express y in terms of x and 2
Answers
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Answer:
y = 4x/(x -2)
Step-by-step explanation:
Subtract 1/x
2/y = 1/2 -1/x
Combine terms
2/y = (x-2)/(2x)
Cross multiply
4x = y(x -2)
Divide by the coefficient of y
y = 4x/(x -2) . . . . simplest
y = 2^2/(x -2) . . . . in terms of x and 2
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1600 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1460 hours, to the nearest thousandth
Answers
The probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth
The formula for calculating the z-score is:
z = (x - μ) / σ
Where: x = the value we want to find the probability
μ = the mean of the distribution.
σ = the standard deviation of the distribution.
Now for the probability that a randomly chosen light bulb will last less than 1460 hours,
Here, x = 1460
μ = 1600
σ = 75
Plugging in the values, we get:
z = (1460 - 1600) / 75
= -1.8667
Now, The cumulative probability represents the area under the curve to the left of the z-score.
Looking up the z-score -1.8667 in the standard normal distribution table, we find that the cumulative probability is 0.0322.
Therefore, the probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth.
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6. One thousand liters of a solution was available, but the solution was 65% alcohol. Barry needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so that the solution would be 50% alcohol?
SHOW YOUR WORK
Answers
Answer:
300 liters
Step-by-step explanation:
1000(0.65) = 650 liters of the solution was alcohol
1000.(1 - 0.65) = 350 liters was the other solute.
A 50% solution would have equal parts of each or 350 liters each.
650 - 350 = 300 liters of alcohol must be removed.
Answer the question given above
Answers
Answer:
See explanation
Step-by-step explanation:
This is how you are suppoussed to solve it:
Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter
This cannot be solved unless the page is infront of us.
Which type of triangle has altitudes that form outside the triangle itself?
Select one:
a. acute
b. equiangular
c. obtuse
d. right
Answers
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Answer:
c. obtuse
Step-by-step explanation:
For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform. After completing a study, the digital marketing specialist found that the average number of hashtags used by a marketing agency in a social media post is 7.9 hashtags on average.
As the digital marketing specialist sets up a hypothesis test to determine if their belief is correct, what is their claim?
a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.
b. The average number of hashtags used in a social media post from a marketing agency is different than 7.9 hashtags.
c. Marketing agencies use too many hashtags in a social media post.
d. The average number of hashtags used in a social media post from a marketing agency is 7 hashtags.
Answers
Answer:
a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.
Step-by-step explanation:
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.
This means that at the null hypothesis, we test if the mean is 7, that is:
[tex]H_0: \mu = 7[/tex]
A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.
Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:
[tex]H_1: \mu \neq 7[/tex]
Thus, the correct answer is given by option a.
A stub function is:__________.
A) A short function
B) A function that has been unit tested
C) A function that acts as a placeholder and returns a simple value so another function can be tested
D) A function that is broken down into smaller steps through step-wise refinement
Answers
Answer: c. A function that acts as a placeholder and returns a simple value so another function can be tested.
Step-by-step explanation:
A stub simply means a function which has an expected signature but has an incomplete implementation. It is put in place in order for codes to be tested before the functions are fully written.
A stub is a function that acts as a placeholder and returns a simple value so another function can be tested. Therefore, the correct option is C.
Find an equation equivalent to r = 1 + 2 sin 0 in rectangular coordinates.
Answers
Answer:
C
Step-by-step explanation:
r=1+2sin(theta)
r^2=r+2*r*sin(theta)
x^2+y^2=±sqrt(x^2+y^2)+2y
A farmer plants the same amount every day, adding up to 2 1/4 acres at the end of the year. If the year is 3/4 over, how many acres has the farmer planted?
Answers
Answer:
9/4 * 3/4 = 27/16 = 1 [tex]\frac{9}{16}[/tex]
Step-by-step explanation:
a bowl holds 8 cups, Armando
mixed 2 1/2cups of flour together with
3/4 cups of sugar and 1/3 cup
of butter. How
many more cups of ingredients can this
bowl hold before it is full?
Answers
Answer:
4 3/4 cups PLEASE MARK ME BRAINLIEST
Step-by-step explanation:
Bowl = 8 cups
Armando first used 2 1/2 cups of flour. So, we need to do 8 - 2 1/2.
8 - 2 1/2 = 8/1 - 5/2
Find the common denominator:
8/1 - 5/2 = 8 x 2/1 x 2 - 5 x 1/2 x 1 = 16/2 - 5/2
Find the final answer:
16/2 - 5/2 = 11/2 = 5 1/2
Then, Armando used 3/4 cups of sugar. So, we need to do 5 1/2 - 3/4.
5 1/2 - 3/4 = 11/2 - 3/4
Find the common denominator:
11/2 - 3/4 = 11 x 2/2 x 2 - 3 x 1/4 x 1 = 22/4 - 3/4
Find the final answer:
22/4 - 3/4 = 19/4 = 4 3/4
Finally, Armando used 1/3 cup of butter. So, we need to do 4 3/4 - 1/3.
4 3/4 - 1/3 = 19/4 - 1/3
Find the common denominator:
19/4 - 1/3 = 19 x 3/4 x 3 - 1 x 4/3 x 4 = 57/4 - 4/12
Find the final answer:
57/4 - 4/12 = 53/12 = 4 5/12
If u like my explanation then plz follow me for more solutions
For the polynomial 6xy2-5x?y?+9x? to be a trinomial with a degree of 3 after it has been fully simplified, what is the
missing exponent of the y in the second term?
0
e 1
2.
x 3
Answers
Answer:
The exponent of y is 1
Step-by-step explanation:
Given
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]}[/tex]
[tex]degree = 3[/tex]
Required
The exponent of y (second term)
Since the polynomial has a degree of 3, the exponents of y will decrease from left to right (i.e. 2,1,0) while x will increase from left to right (i.e. 1,2,3)
So, we have:
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^{[2]}y^{[1]} + 9x^{[3]}[/tex]
Remove square brackets
[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^2y + 9x^3[/tex]
The second term is:
[tex]T_2 =5x^2y[/tex]
The exponent of y is 1
I need help answering this ASAP
Answers
Answer:
False, this is not a function
Step-by-step explanation:
This would not represent a function
This would fail the vertical line test
One value of the input has more than one value for the output
find the value of the trigonometric ratio
Answers
Explanation:
The sin of any angle in a right triangle is its opposing side/hypotenuse
12 is opposing angle X, 13 is the hypotenuse.
12/13
Hope this helps, brainliest would be appreciated :)
Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18–31) still live at home with their parents. A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses. The P-value is 0.006.
H0: Of Millennial students at their campus, 36% live at home with their parents.
Ha: More than 36% of Millennial students at their campus live at home with their parents.
What can we conclude?
A. Nothing. The sample size is too small to represent students at their campus.
B. The evidence suggests that more than 36% of students at their campus live at home with their parents because 43% is greater than 36%.
C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.
D. The evidence does not suggest that more than 36% of students at their campus live at home with their parents because the difference between 43% and 36% is not statistically significant. A 7% difference could be due to random chance.
Answers
Answer:
C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.
Step-by-step explanation:
H0: Of Millennial students at their campus, 36% live at home with their parents.
Mathematically, [tex]H_0: p = 0.36[/tex]
Ha: More than 36% of Millennial students at their campus live at home with their parents.
[tex]H_a: p > 0.36[/tex]
The P-value is 0.006.
p-value is less than the significance level of 0.05, which means that there is enough evidence to accept the alternative hypothesis, that is, the proportion is more than 36%.
Thus, the correct answer is given by option C.
A cash register contains $10 bills and $50 bills with a total value of $1080.If there are 28 bills total, then how many of each does the register contain?
Answers
Answer:
8 ten dollar bills
20 fifty dollar bills
Step-by-step explanation:
x = number of 10 dollar bills
y = number of 50 dollar bills
x+y = 28
10x+50y = 1080
Multiply the first equation by -10
-10x -10y = -280
Add this to the second equation
-10x -10y = -280
10x+50y = 1080
-----------------------
40y = 800
Divide by 40
40y/40 = 800/40
y = 20
Now find x
x+y =28
x+20 = 28
x = 28-20
x= 8
How many 4-digit passcodes can be created if each digit can be any number, 0-9?
6,561
10,000
40
5,040
Answers
Answer:
6,561
that's a good number
0 thru 9 is 10 numbers.
Each digit can be 1 of 10 numbers:
Total combinations = 10 x 10 x 10 x 10 = 10,000
Answer: 10,000
Please help!
What is the pattern,
Y-interception
And equation
Answers
Answer: y=1x+1
Step-by-step explanation:
y=1x+3
that should be it
Please answer ASAP!!!!
Answers
Answer:
0
Step-by-step explanation:
0
What's the distance between the points (7,3) and (7,–8)?
Answers
Answer:
11
Step-by-step explanation:
The distance is found by
d =sqrt ( (x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 7-7)^2 +(3 - -8)^2)
= sqrt(0 +(3+8)^2)
= sqrt( 11^2)
= 11
The distance between (7, 3) & (7, -8) is 11
Step-by-step explanation:
I used distance formula for the following explanation attached with an image.
Hope this explanation helps!
(5.5 X10-6 + 6.3 X10-6)2
Answers
Answer:
2 • (59x10 - 60)
————————————————
5
Step-by-step explanation:
Solve the inequality
Answers
Answer:
hope this helps buddy, please mark the brainliest.
Step-by-step explanation:
what is the least common multiple between 25 and 8
Answers
Answer:
200
Step-by-step explanation:
Break down 25 = 5*5
Break down 8 = 2*2*2
They have no common factors
The least common multiple is
5*5*2*2*2 = 25*8 = 200
Answer:
200
Step-by-step explanation:
list the factors of 25: 5,5
factors of 8:2,2,2,
Sarah has two similar rectangular boxes. The dimensions of Box 1 are four times those of Box 2.
How many times greater is the surface area of Box 1 than the surface area of Box 2?
8
64
4
16
Answers
Answer:
16
Step-by-step explanation:
an area is always calculated by multiplying 2 dimensions.
when changing the dimensions, then the change factors for EACH dimension go into the calculation too.
therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.
this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.
just think
16×a + 16×b + 16×c ... = 16×(a+b+c+...)
and you understand why.
(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason
PLS HELP
Answers
Given:
E is the midpoint of AD and BC.
To prove:
[tex]\Delta AEC\cong DEB[/tex]
Proof:
Statement Reason
1. E is the midpoint of AD and BC 1. Given
2. [tex]AE\cong DE[/tex] 2. Definition of midpoint
3. [tex]CE\cong BE[/tex] 3. Definition of midpoint
4. [tex]\angle AEC\cong \angle DEB[/tex] 4. Vertically opposite angle
5. [tex]\triangle AEC\cong \triangle DEB[/tex] 5. SAS congruence postulate
Hence proved.
d is none of the above , and yes
Answers
Answer:
[tex] = 2 {}^{2} - 3(2) = - 2 \\ 3 {}^{2} - 3(3) = 0 \\ 4 {}^{2} - 3(4) = 4 \\ 5 {}^{2} - 3(5) = 10[/tex]
Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is per square foot. A random sample of new homes indicated that the mean cost was and the population standard deviation was . Can it be concluded that the mean cost differs from , using the level of significance
Answers
Answer:
There isn't sufficient evidence that support the claim that mean cost differs from $117.91
Step-by-step explanation:
Given that :
Population Mean cost, μ = 117.91
Sample size, n = 36
Sample mean, xbar = 122.57
Sample standard deviation, s = 20
The hypothesis :
H0 : μ = 117.91
H0 : μ ≠ 117.91
Using the one sample t test :
Test statistic
(xbar - μ) ÷ s/sqrt(n)
T = (122.57 - 117.91) ÷ 20/sqrt(36)
T = 4.66 / 3.333
T = 1.398
Decision region :
Reject H0 ; If Pvalue < α
α = 0.10
Degree of freedom, df = n - 1 = 36 - 1 = 35
Pvalue(1.398, 35) = 0.1709
Since 0.1709 > 0.10 ; WE fail to reject H0 ; therefore there isn't sufficient evidence that support the claim that mean cost differs from $117.91
Jessica has 28 coins. One fourth of them are quarters. Two thirds of the rest of the coins are dimes. The remaining ones are nickels. How many quarters, dimes, and nickels does he have? How much money does he have in coins? If he wants to buy 2 packs of cards, with each pack $1.35, how much money would he have left?
Answers
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Answer:
7 quarters, 14 dimes, 7 nickels total $3.50$0.80 will remainStep-by-step explanation:
a) 1/4 of 28 = 28/4 = 7 coins are quarters.
2/3 of (28 -7) = (2/3)(21) = 14 coins are dimes
The remaining 28 -7 -14 = 7 coins are nickels
__
b) The amount of money in coins is ...
7×$0.25 +14×$0.10 +7×$0.05 = $3.50 . . . in coins
__
c) 2 packs of cards at $1.35 each will cost 2×$1.35 = $2.70. After the purchase, the remaining money would be ...
$3.50 -2.70 = $0.80 . . . remaining
PLEASE I NEED A REAL ANWSER NO LIES
Part A: The area of a square is (9a2 − 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25a2 − 36b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
(3a - 4 )^2
Step-by-step explanation:
(9a^2-24a+16)=(3a - 4 )^2
Therefore the length of each side of the square is (3a - 4 )^2
Answer:
Part A: (3a - 4)^2
Part B: (5a + 6b)(5a - 6b)
Step-by-step explanation:
Part A:
It looks like this is the square of a binomial. Now we check it.
9a^2 is the square of 3a.
16 is the square of 4 and of -4.
Check the middle term:
2 * 3a * 4 = 24a
2 * 3a * (-4) = -24a
Since we get -24a when we use 4, the second term of the binomial is 4.
Answer:
9a^2 - 24a + 16 = (3a - 4)^2
Part B:
25a^2 − 36b^2
This is a two-term polynomial. The two terms are perfect squares and there is a subtraction sign between them, so this is the difference of two squares. The difference of two squares factors into the product of a sum and a difference.
25a^2 is the square of 5a.
36b^2 is the square of 6b.
25a^2 − 36b^2 = (5a + 6b)(5a - 6b)
find area and perimeter of shaded area and the perimeter is not 96
Answers
Answer:
picture not clear what is the length
A bicycle with 24-inch diameter wheels is traveling at 12 mi/h.
What is the exact angular speed of the wheels in rad/min?
Number rad/min:
How many revolutions per minute do the wheels make?
The answer must be rounded to three decimal places by the way.
Answers
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Answer:
1056.000 radians per minute168.068 revolutions per minuteStep-by-step explanation:
The linear speed 12 mi/h translates to inches per minute as follows:
(12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min
The relationship between arc length and angle is ...
s = rθ
For a constant radius, the relationship between linear speed and angular speed is ...
s' = rθ'
θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min
There are 2π radians in one revolution, so this is ...
(1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min
