Answers
Answer:
126°
Step-by-step explanation:
Circle Theorem vocabulary
Chord: a straight line joining two points on the circle.Inscribed angle: the angle formed (vertex) when two chords meet at one point on a circle.Arc: the curve between two points on the circumference of a circleIntercepted arc: the arc that is between the endpoints of the chords that form the inscribed angle.Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of the intercepted arc.
Therefore:
\(\displaystyle \angle RST=\dfrac{1}{2} \overset{\frown}{RT}\)
\(\implies 63^{\circ}=\dfrac{1}{2} \overset{\frown}{RT}\)
\(\implies \overset{\frown}{RT}= 2 \cdot 63^{\circ}\)
\(\implies \overset{\frown}{RT}= 126^{\circ}\)
Related Questions
Which set of graphs can be used to find the solution to the equation?
Answers
Given
The inequality,
\(3e^x>-\frac{1}{2}x\)To find:
Which set of graphs can be used to find the solution to the equation?
Explanation:
It is given that,
\(3e^x>-\frac{1}{2}x\)That implies,
The graph representing 3e^x is,
Also, the graph representing y> - ( 1/2) x is,
By combining these two we get,
\(3e^x>-\frac{1}{2}x\)
Verify the identity.
sin x/1-cos x = csc x + cot x
Answers
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
Which ordered pair is a solution to every linear equation of the form y = mx, where m is a real
number?
Answers
The ordered pair which is a solution to every linear equation of the form given is; (0, 0).
Which ordered pair is a solution to the linear equation?It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.
On this note, since the product of any real number, slope in this scenario and 0 is; 0.
Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.
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A random sample of 32 salespersons with a degree had an average weekly sale of $3599 last year, while 35 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively.
Required:
Is there evidence at the 5% level to support the retailer's belief?
Answers
Answer:
There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Step-by-step explanation:
The question is incomplete:
"A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 32 salespersons with a degree had an average weekly sale of $3599 last year, while 35 salespersons without a college degree averaged $3311 in weekly sales. The standard deviations were $468 and $642 respectively.
Required:
Is there evidence at the 5% level to support the retailer's belief?"
This is a hypothesis test for the difference between populations means.
The claim is that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Then, the null and alternative hypothesis are:
\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0\)
The significance level is 0.05.
The sample 1 (college degree), of size n1=32 has a mean of 3599 and a standard deviation of 468.
The sample 2 (non-college degree), of size n2=35 has a mean of 3311 and a standard deviation of 642.
The difference between sample means is Md=288.
\(M_d=M_1-M_2=3599-3311=288\)
The estimated standard error of the difference between means is computed using the formula:
\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{468^2}{32}+\dfrac{642^2}{35}}\\\\\\s_{M_d}=\sqrt{6844.5+11776.114}=\sqrt{18620.614}=136.4574\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{288-0}{136.4574}=\dfrac{288}{136.4574}=2.11\)
The degrees of freedom for this test are:
\(df=n_1+n_2-2=32+35-2=65\)
This test is a right-tailed test, with 65 degrees of freedom and t=2.11, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=P(t>2.11)=0.019\)
As the P-value (0.019) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average sales are significantly greater for salespersons with a college degree than for salespersons without it.
Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
Answers
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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Pls help I’ll brainlest
Answers
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Law of Exponents ⸔
→ aᵐ × aⁿ = aᵐ＋ⁿ
→ aᵐ ÷ aⁿ = aᵐ－ⁿ
→ (aᵐ)ⁿ = aᵐⁿ
→ aᵐ × bᵐ = (ab)ᵐ
→ a⁰= a¹
→ aᵐ/bᵐ = (a/b)ᵐ
Question's solution ⸔
→ 5⁰
→ 1 [a⁰ = 1]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
is this graph a minimum or a maximum pls help
Answers
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Multiples that are shared by two or more numbers are____
Answers
Answer:
Multiples that are shared by two or more numbers are common multiples.
Step-by-step explanation:
A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.
I hope this helps! ^-^
Please answer this. Will mark brainliest whoever gives an good answer
Answers
Answer:
Step-by-step explanation:
6) n + 13
7) 3n
8) n - 4
9) n + 5
10) 7 *n = 7n
11) n - 14
12) \(\frac{n}{5}\)
Question 1 (Multiple Choice Worth 4 points)
In which expression should the exponents be multiplied?
(53)-4
(0) 0
37
315
0 45, 42
Answers
Answer:
In the first expression:
(5^3)^-4 = 5^-12
Step-by-step explanation:
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
Answers
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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The point (-13, 24) is on the graph of y = f(x). Find the corresponding point on the graph of y= g(x), where g(x) = 1/4f(x)
Answers
Answer:
(−12,2)
Step-by-step explanation:
1:
Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value
(4) and divide it by 2 to get 2
.
Therefore, the new point is
(−12,2)
2:
Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value
(−12) to get −10
.
Therefore, the new point is
(-10,4)
3:
Making the input of the function negative will multiply every x-value by
−
1
. To get the new point, we will take the x-value
(−12) and multiply it by −1 to get 12.
Therefore, the new point is
(12,4)
4:
Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value
(−12) by 4 to get −3
.
Therefore, the new point is
(−3,4)
5:
Multiplying the whole function by
4
increases all y-values by a factor of
4
, so the new y-value will be
4
times the original value
(4), or 16.
Therefore, the new point is
(−12,16)
6:
Multiplying the whole function by
−1
also multiplies every y-value by
−1
, so the new y-value will be
−1
times the original value
(4), or −4.
Therefore, the new point is
(−12,−4)
A rental car company charges $70.23 per day to rent a car and $0.11 for every mile driven. Connor wants to rent a car, knowing that:
He plans to drive 300 miles.
He has at most $380 to spend.
What is the maximum number of days that Connor can rent the car while staying within his budget?
Answers
Answer:
4 days
Step-by-step explanation:
Let the number of days = x
The number of miles is a fixed 300 at $0.11/mile which cost $33.
The cost, y is:
y = 70.23x + 33
The most money he has to spend is $380.
70.23x + 33 = 380
70.23x = 347
x = 4.94
4.94 is just under 5 days, but we must round down to 4.
Check:
A 4-day rental with 300 miles costs:
y = 70.23 × 4 + 33
y = 313.92 which is under the $380 budget
A 5-day rental with 300 miles costs:
y = 70.23 × 5 + 33
y = 384.15 which over the $380 budget
Answer: 4 days
Rewrite quadratic function in standard form
Answers
Since the function is already in standard form (ax^2 + bx + c form) you don't have to change anything and simply rewrite it.
For the vertex, if you have a quadratic function in standard form -b/2a is the x value of the vertex.
-b/2a = -4/(2(2)) = -1
Since we now know the x-value of the vertex we can plug it into the function to find the corresponding y-value.
h(-1) = 2(-1)^2 + 4(-1) - 10 = -12
So, the vertex is at (-1,-12)
The length of a marathon race is 26 miles 385 yards. What is the total length of the marathon
race in yards?
Plz help
Answers
Answer:
46,145
Step-by-step explanation:
26x1760= 45,760 + 385= 46,145
The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.
How to measure the length?Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.
Yards-This unit is used when the size of a small space has to measure, such as length of bed, ladder etc. There are total 1760 yards in one mile.Miles-This is the basic unit of length measurement of size. The size of roads, distance between two cities are measured in miles.The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,
\(26\times1760=45760\)
Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,
\(45760+385=46145\rm\; yards\)
Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.
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can earn 5 coins
Dimitri pays 9% sales tax on a bag of groceries that costs 46 dollars. How much does the sales tax add to
the purchase price?
Answers
Answer:4.14
Step-by-step explanation:
Answer:
474
Step-by-step explanation:
took the test on edg
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answers
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
Solve the equation. -5(-4+2n)=-10(n-2)
Answers
Answer:
0 = 0 means that there are infinite solutions.
Step-by-step explanation:
Equation is -5(-4+2n)=-10(n-2)
1. Distribute the -5 and -10
20 -10n = -10n + 20
2. Subtract 20 from one side to the other to get only 1 variable on 1 side.
-10n = -10n
3. divide -10 to separate the variable from the constant.
n = n
This means there are infinite solutions.
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
Answers
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answers
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Ms. Gloria knows that 20% of her pencils she lends to her students will not be returned to her every year. She starts the year with 175. How many can Ms. Goitia expect to be returned this year?
Answers
PLEASE HELP QUICKY!!!!
What is the range and domain for 10 and 11????
Answers
Answer:
10)
Domain: (-∞, ∞)
Range: (∞, 0)
11)
Domain: ( -∞, ∞)
Range: (0, ∞)
I'm not 100% sure this right.
The area of a rectangular wall of a barn is 48 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
Answers
l = 16 feet
w = 3 feet
Step-by-step explanation:A = l×w
l = 10+2w
48 = (10 + 2w)w
48 = 10w + 2w² | : 2
24 = 5w + w²
w² + 5w - 24 = 0
w² + 8w - 3w - 24 = 0
w(w + 8) - 3(w + 8) = 0
(w - 3)(w + 8) = 0
w - 3 = 0 => w = 3 feet
w + 8 = 0 => w = - 8 ∉ N
l = 10 + 2w
l = 10 + 6
l = 16 feet
A = l×w = 16ft×3ft = 48ft²
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4
Answers
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
Next Page »
Confidential unpublished work ©2018 by PSI Services LLC
Answers
Answer:
Number of candies with Ian = 4
Step-by-step explanation:
Let Ian has \(x\) candies.
Number of candies with Jason = \(3x\)
Number of candies with Shawn = \(4(3x)=12x\)
Total number of candies = 64
So,
\(x+3x+12x=64\\16x=64\\x=4\)
Therefore,
Number of candies with Ian = 4
Corvert 412% in a fraction
Answers
Answer:
103/25
Step-by-step explanation:
412% = 4.12 = 103/25
Answer:
4.12
Step-by-step explanation:
remove the '%' sign and then move the decimal two places to the left
other examples:
5% = .05
4.5% = .045
123% = 1.23
.9% = .009
The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
Answers
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
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A video game displays 108 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
Answers
Answer:
27 frames per second
Step-by-step explanation:
108 ÷ 4 = 27
Answer:
108 ÷ 4 = 27
27 frames per second
Solve d = rt for t when r = 75 mph and d = 450 mi
Answers
Answer: t=6 hours
Step-by-step explanation:
For this problem, we are given the values for r and d. We can directly plug those values in and solve for t.
450=75t [divide both sides by 75]
t=6 hours
Now, we know that there are t=6 hours.
Answer:
450=75T
Divide both sides by the 75
T=6h
A higher credit score reduces your fixed costs because you ____.
A. will pay lower interest rates
B. can have more credit cards
C. are able to carry more debt
D. can reduce the amount you need to borrow
Answers
A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.
What is a higher credit score?A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.
This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.
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