Answers
Answer:
The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.
Area of semicircle = 0.5π\(r^{2}\) = 0.5π×4.5 = 6.75 sq. inches
Related Questions
The ordered pairs in the table below represent a linear function. What’s the slope of the function?
Answers
Answer:
The slope is 2
Step-by-step explanation:
Using slope formula (y2-y1)/(x2-x1):
(8-2)/(9-6)
(6)/3
2
Answer:
3
Step-by-step explanation: took test edge
For the graph, what is a reasonable constraint so that the function is at least 600?
I took the test and got this question wrong, as you can see from the image below. Anyone else want to try?
Answers
Answer:
\(0 \leqslant x \leqslant 20\)
2. AB = 3x + 2
AD = x +39
Answers
Answer:
x=18.5
u gotta do 3x+2=x+49
combine the like terms and it becomes 2x=37 then divide by 2 u get 18.5
plug it in as x and check if it's right
Researchers suspect that the average number of units earned per semester by college students is rising. A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula. To do so, he randomly selects 100 student transcripts and records the number of units each student earned in the spring term. He found that the average number of semester units completed was 12.96 units per student. Identify the population of interest to the researcher.
Answers
Answer:
All Calendula College students enrolled in the spring.
Step-by-step explanation:
A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.
To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.
Assume that a sample is used to estimate a population mean
μ
. Find the 90% confidence interval for a sample of size 52 with a mean of 85.5 and a standard deviation of 12.3. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.
Answers
Confidence interval for given data is (82.156,88.843)
What is confidence interval?The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.
The alpha value determines the confidence level, which is the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.
general form of a confidence interval is:
point estimate + Z SE (point estimate)
Formula for confidence interval is given by
\(X\) ± \(Z\frac{s}{\sqrt{n} }\)
Where:
X is the mean
Z is the chosen Z-value from the table above
s is the standard deviation
n is the number of observations
In given ques
X = 85.5, Z=1.960, s =+ 12.3, n= 52
confidence interval = 85.5± (1.960×12.3/√52)
(82.156,88.843)
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Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answers
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
What is the slope of (-1,2) and (0,-4)
Answers
Answer:
- 6
Step-by-step explanation:
\(slope = \frac{ - 4 - 2}{0 - ( - 1)} = \frac{ - 6}{0 + 1} = \frac{ - 6}{ 1} = - 6 \\ \)
If P is the incenter of A JKL, find each measure. K 10 M P 7 17 32" 22' L
Answers
Although part of your question is missing, you might be referring to this full question: If P is the incenter of ΔJKL, find each measure (triangle as attached).
Based on the property of incenter, the measurements of the sides and the angles will be:
JK = 21.2 units
KL = 26.63 units
JL = 28.33 units
m∠K = 36°
By using the property of incenter:
PM = PN = PO = 7 units
∠MJP = ∠OJP = 32°
∠NLP = ∠OLP = 22°
By using the triangle sum theorem,
m∠JKL + m∠KLJ + m∠LJK = 180°
2(m∠NKP) + 2(m∠NLP) + 2(m∠MJP) = 180°
2(m∠NKP) + 2(22°) + 2(32°) = 180°
2(m∠NKP) = 180° - 108°
m∠NKP = 36°
Then, from ΔJMP,
tan(32°) = MP/MJ
tan(32°) = 7/MJ
MJ = 7/tan(32)°
MJ = 11.20
And from ΔPOL,
tan(22°) = OP/OL
tan(22°) = 7/OL
OL = 17.33
And from ΔKNP,
tan(36°) = NP/KN
tan(36°) = 7/KN
KN = 9.63
Hence, JK = MJ + MK = 21.2 units
KL = LN + KN = 26.63 units
JL = JO + OL = 28.33 units
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If the cos 42° = one half, then the sin 48° = _____. Group of answer choices two thirds, because the angles are complementary 2 over 1, because the angles are supplementary one half, because the angles are complementary 1, because the angles are complementary
Answers
The sine of 48 Degrees is equal to one-half.
The cosine of an angle is equal to one-half when the angle is 60 degrees. Therefore, if the cosine of 42 degrees is one-half, it means that the angle of 42 degrees is complementary to the angle of 60 degrees.
Since the angles are complementary, the sine of one angle is equal to the cosine of the other angle. In this case, the sine of 48 degrees will be equal to the cosine of its complementary angle, which is 42 degrees.
Therefore, the sine of 48 degrees is equal to one-half.
The correct answer is: 1/2, because the angles are complementary.
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Solve for X:
X/6-y/3=1
Answers
x = 6 + 2y
hope it helps...!!!
PLEASE HELP ME!!!!!!!!!!!
Answers
Answer:
I'm not sure
Step-by-step explanation:
1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
Answers
Answer:
The answer is 1/6y+1/6(y+12)-2
Answer:
1/6y+1/6(y+12)- 2
Step-by-step explanation:
Distribute \(\frac{1}{6}\) through the parentheses : \(\frac{1}{6}\)y + \(\frac{1}{6}\)y + 2 - 2Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : \(\frac{1}{6}\)y + \(\frac{1}{6}\)yCalculate the sum : \(\frac{1}{3}\) ySolution : \(\frac{1}{3}\) y
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answers
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
1/2 of 4/3 = 1/2 of ______thirds =______ thirds
Answers
Answer:
four, two
Step-by-step explanation:
1/2 of 4/3 is half of four thirds. Half of four is two, so it would be two thirds
I hope this helps! :)
How many 11-card hands are possible with a 20-card deck?
Answers
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Choose all of the statements about the quadrilateral and/or the transformed quadrilateral that are correct.
A. The quadrilaterals will be congruent.
B. The quadrilateral will map onto itself.
c. The quadrilateral will now appear in Quadrant IV.
D. The quadrilaterals will have the same orientat
E. The quadrilaterals will be similar but not cong
Answers
The statements about the quadrilateral and/or the transformed quadrilateral that are correct are:
The quadrilaterals will be congruent.
Option A is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
Quadrilateral WXYZ.
We see that,
Quadrilateral WXYZ is in the III Quadrant.
Step 1:
Rotated 180° about the origin.
This means,
Quadrilateral WXYZ is in the I Quadrant.
Step 2:
Reflection across the y-axis.
This means,
Quadrilateral WXYZ is in the II Quadrant.
Now,
Since there is no dilation the transformed quadrilateral will be congruent.
Thus,
The quadrilaterals will be congruent.
Quadrilateral WXYZ is in the II Quadrant.
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The complete question is:
Quadrilateral WXY will be rotated about the origin and then reflected across the y-axis. Choose all of the statements about the quadrilateral and/or the transformed quadrilateral that are correct.
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle. A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle.
Answers
Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.
The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:
15^2 + 17^2 = x^2
Simplifying this equation, we get:
225 + 289 = x^2
514 = x^2
x = sqrt(514)
Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.
37 city buses can carry a total of 778 passengers. How many passengers can a single bus carry?
Answers
Answer:
22 passengers
Step-by-step explanation:
the full answer is 21.02702702702703
Hope this helps!
Brainliest pls
Have a great day!
Answer:
778/37
Step-by-step explanation:
778 divided by 37
21.027027...
or 778/37
Help me asap. Find the surface area and round to the nearest tenth. Please please help.
Answers
Answer:
164.9 \(in^{2}\)
Step-by-step explanation:
To find the surface area of a cylinder, you must use the following equation:
\(2\pi rh+2\pi r^2\)
The first part of the equation is the circumference of the base circles times the height of the cylinder. This helps you find the surface area of the side.
The second part of the equation is the surface area of the base times 2. This helps you find the surface area of the circles at the top and bottom of the cylinder.
Because you have the measurements, all you have to do is insert them into the equation:
\(2\pi (2.5)(8)+2\pi (2.5)^2\)
Now simplify:
\(40\pi+12.5\pi\)
\(52.5\pi\)
If you are only using 3.14:
164.85
If you are using \(\pi\) in your calculator:
164.93
It doesn't matter which way you do it because both answers round to the same number:
164.9
PLEASE HELP ONLY IF YOU ARE CORRECT.
Answers
Answer: a=2
b=8.917
Step-by-step explanation:
Anyone to help me answer this question am giving the brainliest
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
As we know,
\( \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }\)and
\( \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }\)now, let's add them as shown ~
\( \boxed{\sin(a + b) + \sin(a - b)} \)\( \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }\)\( \boxed{2 \sin(a) \cos(b) }\)SUPER HARD 90 POINTS
Write a recursive rule for the sequence. Then write the next two terms of the sequence.
2, 4, 2, −2, −4, −2,
Answers
Let someone else attempt the question
Connie needs 45 oz of meat to feed her lizards each day. If she has 315 oz of meat left, how many days can she feed her lizards? (Just place the number and do not label days on this one.) ___ days
Answers
Answer: 7
Step-by-step explanation:
315 divided by 45= 7
I hope this helps!
Shreya has 40 pairs of shoes stacked inboxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answers
Answer:
it's either 20 or 80..
Answer:
80 shoes
Step-by-step explanation:
40×2
What is the answer?1+-8- -3(7)
Answers
Answer: 14
Step-by-step explanation:
Answer:
I'm pretty sure it should be 14 :)
Determine which set of side measurements could be used to form a right triangle.
4, 11, 20
16, 21, 25
5, 13, 25
3, 4, 5
Answers
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
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HELP!!!!!!!!!!!!!!! IT'S TIMED!!!!!!!!!!!!!!!!
Dr. Ellison says that the equation y = 17x + 1 has a solution of (1,18).
Is Dr. Ellison right or wrong?
a. HE'S RIGHT
B. he's wrong
c. you need more information
Answers
Answer:
The answer is A
Step-by-step explanation:
There are two solutions.
Slope = 17
y - intercept = (0,1)
The two solutions is
(0,1) and (1,18)
So he is right
Answer:
Step-by-step explanation:
a
Willie runs 4 miles in 44 minutes. If Willie runs at the same rate, how many miles can he run in 66 minutes?
Answers
Answer:
6 miles in 66 mins
Step-by-step explanation:
4 miles = 44 mins
simplify to the lowest point
1 mile = 11 mins
? = 66 mins
? = 1 x 6
you can run 6 miles in 66 mins
Answer:
Step-by-step explanation:
4/44= 0.0909090909...*66=6
find the propotunate value by dividing each initial value and multiply it by the listed secondary value
Suppose a network has 37 servers of which 8 fail. How many possibilities are there for the 8 that fail?
Answers
The number of possibilities for 8 of 37 servers to fail is 38608020
How to determine the ways of selection?From the question, we have
Total number of servers, n = 37
Numbers to servers that fail, r = 8
The number of ways for 8 serves to fail is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 37 and r = 8
Substitute the known values in the above equation
Total = ³⁷C₈
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 37!/29!8!
Evaluate
Total = 38608020
Hence, the number of ways is 38608020
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MODELING REAL LIFE Your family decides to put a rectangular patio in your backyard, similar to the shape of your backyard. Your backyard has a length of 45
feet and a width of 20 feet. The length of your new patio is 18 feet. Find the perimeter of your backyard and the perimeter of the patio.
Backyard perimeter ? feet
Patio perimeter ? feet
Answers
The perimeter of the backyard is given as follows:
130 feet.
The perimeter of the patio is given as follows:
52 feet.
How to obtain the perimeter of a rectangle?The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:
P = 2(l + w).
For the backyard, the dimensions are given as follows:
l = 45 feet, w = 20 feet.
Hence the perimeter is given as follows:
P = 2(45 + 20)
P = 2 x 65
P = 130 feet.
The ratio between the length of the patio and the length of the backyard is given as follows:
18/45.
As both the length and the perimeter are measured in units, the perimeter of the patio is given as follows:
P = 18/45 x 130
P = 52 feet.
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