Find the measure of angle f given the information below. giving brainliest for whoever is correct
Answers
According to the given figure of triangle , f = 58 °
What is Linear pair of angles ?A linear pair of angles is formed when two lines intersect at a single point. The angles are said to be linear if they follow the point where the two lines intersect in a straight line.
The sum of the angles in a pair of linear equations is always 180°. These are also referred to as additional angles.
According to the given information
We are given that
a = 119°
Applying linear Pair of Angles
a + b = 180°
119° + b = 180°
b = 180° - 119°
b = 61 °
We know that
b = c = 61 °
According to Angle sum Property
b + c + f = 180°
61° + 61° + f = 180°
f = 180 - 61 -61
f = 58 °
According to the given figure of triangle , f = 58 °
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Related Questions
f(x) = 3(x + 1)2 – 27.
Answers
Answer:
x=7
2
Step-by-step explanation:
0=6 (x+1) –27
Remove the parentheses
0=6x+6 ‐27
Calculate
0=6×‐21
Move the variable to left
‐6x=21
Divide both sides
The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year
Answers
Answer:
100
Step-by-step explanation:
if 25% is 20, 20*4=80
80+20=100
A car is traveling at 55 mph. What is the
speed of the car in feet per second (ft/s)?
Answers
Answer:
80 feet per second
Step-by-step explanation: At 55 mph, your vehicle is traveling at about 80 feet per second. Feet-per-second is determined by multiplying speed in miles-per-hour by 1.47 (55 mph x 1.47 = 80 feet per second.)
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $80.00
Markdown: 33%
Answers
Answer:
24$
Step-by-step explanation:
Given
f (x) = x3 + 1
and
g(x) = x – 1
find the composition
f(g(x))
Answers
Answer:
(x-1)³+1
is correct option
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answers
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
\(10x+12y=300\)
where \(x\) is the number of short-sleeved shirts and \(y\) is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
\(10x+12y=300\)
Substitute \(x=0\).
\(10(0)+12y=300\)
\(12y=300\)
\(y=\dfrac{300}{12}\)
\(y=25\)
So, the y-intercept is at point (0,25).
Substitute \(y=0\).
\(10x+12(0)=300\)
\(10x=300\)
\(x=\dfrac{300}{10}\)
\(x=30\)
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
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the rest of the third question
The amount of space available to tigers in a wildlife refuge changes as the population changes. The graph shows the available territory in a tiger wildlife refuge as a function time since the refuge opened.
Which statements are true about the function?
Select each correct answer.
Answers
Answer:
1) exponential decay, time progresses
2) 64
4) 24
5) number of weeds increase without bound
pls help, it is due now. Thank You so much to whoever helps!
Answers
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y − 4 = 0.
Answers
An equation of the line that passes through the point (2, 4) and is perpendicular to the line 8x + 7y − 4 = 0 is y = -4x + 4.
To find the equation of a line that passes through a given point and is perpendicular to another line, you can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
In this case, the line 8x + 7y − 4 = 0 has a slope of -7/8. To find the equation of a line that is perpendicular to this line and passes through the point (2, 4), we need to find the slope of the perpendicular line, which is -1/(-7/8) = 8/7. Then, we can use the point (2, 4) and the slope (8/7) to find the y-intercept of the line, which is the value of b in the equation y = mx + b.
Substituting the coordinates of the point (2, 4) and the value of the slope (8/7) into the equation, we get 4 = (8/7) * 2 + b, which can be simplified to 4 = 16/7 + b. Solving for b, we get b = 4 - 16/7 = 28/7 - 16/7 = 12/7.
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Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answers
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
Which of the following distributions has a mean that varies? I. The population distribution II. The distribution of sample data III. The sampling distribution of the sample mean
O ll only
O IIl only
O I only
O all three distributions
O II and III
Answers
The following distributions has a mean that varies
II. The distribution of sample data
III. The sampling distribution of the sample mean
The correct answer is option v) II and III."
Here, we have,
In the context of statistical distributions:
I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.
II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.
III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.
Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).
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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.
In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.
The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.
It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.
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A straw that is 15cm long leans against the inside of a glass. The diameter of a glass is
5cm, and has a height of 8cm. How far past the edge of the glass would the straw extend?
Round your answer to the nearest tenth.
Answers
The straw will extend past the edge of the glass in a straight line. To find the answer, subtract the diameter of the glass (5cm) from the length of the straw (15 cm): 15 cm - 5 cm = 10 cm. This is the distance the straw will extend past the edge of the glass. To round to the nearest tenth, round 10.0 up to 10.1. Therefore, the straw will extend past the edge of the glass 10.1 cm.
2. Find upper bound for the following functions \( f(n)=3 n+8 \) \( f(n)=n^{2}+1 \) \( f(n)=n^{4}+100 n^{2}+50 \) \( f(n)=2 n^{3}-2 n^{2} \)
Answers
The upper bounds for the given functions are:
f(n) ≤ 4nf(n) ≤ n^2 + nf(n) ≤ n^4 + 100n^2 + 100f(n) ≤ 2n^3To find an upper bound for a function, we need to determine a function g(n) that is always greater than or equal to the given function f(n) for all values of n.
For f(n) = 3n + 8:
We can choose g(n) = 4n, which is greater than 3n + 8 for all n.
Therefore, g(n) is an upper bound for f(n).
For f(n) = n^2 + 1:
We can choose g(n) = n^2 + n, which is greater than n^2 + 1 for all n.
Therefore, g(n) is an upper bound for f(n).
For f(n) = n^4 + 100n^2 + 50:
We can choose g(n) = n^4 + 100n^2 + 100, which is greater than n^4 + 100n^2 + 50 for all n.
Therefore, g(n) is an upper bound for f(n).
For f(n) = 2n^3 - 2n^2:
We can choose g(n) = 2n^3, which is greater than 2n^3 - 2n^2 for all n.
Therefore, g(n) is an upper bound for f(n).
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1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L
, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?
Answers
The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.
The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.
Given the production function q = 1000KL, we can differentiate it with respect to L:
d(q)/d(L) = 1000K
Therefore, the RTS of the isoquant for production level q is 1000K.
The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.
Labor cost = $20/hour
Capital cost = $40/machine/hour
Ratio of labor to capital cost = Labor cost / Capital cost
= $20/hour / $40/machine/hour
= 0.5
The ratio of labor to capital cost is 0.5.
To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.
Let C(K, L) be the total cost function.
The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:
C(K, L) = 40K + 20L
To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.
The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.
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I need help please #22
Answers
Answer:
8 because u need to divide 40 by 5
What transformation is represented by the rule?
Answers
Answer:
rotation 180 about the origin
Step-by-step explanation:
Answer:
Rotation of 180° about the origin.
Jack left a tip of $5.75 for his waiter. If this represents 20% of his meal, what was the cost, in dollars, of Jack’s meal without the tip?
Answers
Answer:
Step-by-step explanation:
This is a commission problem. Here is the formula:
P x R
= 5.75 x 0.20
= $1.15
Jack's tip was $1.15. :D
Key: P = Original Price R = Commission Rate
Step 1: Find the mean. mean = StartFraction 32 + 4 + 12 + 40 + 20 + 24 Over 6 EndFraction = 22 Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. M A D = StartFraction 10 + 18 + 10 + 18 + 2 + 2 Over 4 EndFraction = 15 What is Stefano's error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.
Answers
Answer:
(C)Stefano should have divided by 6 when finding the mean absolute deviation.
Step-by-step explanation:
Step 1: Find the mean.
\(Mean = \dfrac{32 + 4 + 12 + 40 + 20 + 24}{6}=22\)
Step 2: Find each absolute deviation.
10, 18, 10, 18, 2, 2
Step 3: Find the mean absolute deviation.
\(M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{4} =\dfrac{60}{4}=15\)
However, there are 6 values in the data. Stefano should have divided by 6 when finding the mean absolute deviation.
The correct mean absolute deviation is therefore:
\(M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{6} =\dfrac{60}{6}=10\)
Answer:
c: Stefano should have divided by 6 when finding the mean absolute deviation.
Step-by-step explanation:
edg2020
Can u help me plz and say how u done it :)
Answers
Answer:
3(2x+7)
=21x+21
this is the answer hope you like it
help with question pls due tmrw
Answers
Answer:
vertex= 4,-25
y coordinate of vertex = (x+4)2-25
x coordinate of vertex= x2-8x-9
Step-by-step explanation:
A town doubles its size every 98 years. If the population is currently 600, what will the population be in 392 years?
WILL GIVE BRAINIEST
Answers
9514 1404 393
Answer:
9600
Step-by-step explanation:
392 years is enough time for 392/98 = 4 doublings of the population. If the population doubles 4 times, it will be 2^4 = 16 times its present value
16 · 600 people = 9600 people . . . in 392 years
I need help solving this question:
Answers
Answer:
The answer is letter D.
Step-by-step explanation:
Ye
Answer:
The answer is C
x -10 < -20
x < -20 + 10
x< -10
The sign won't change to the other side because the variable we were asked to find is in the positive form.
Can someone explain step by step?
Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?
Answers
Answer:
464 dollars.
Step-by-step explanation:
Step-by-step explanation:
20/100x580
11600/100
=116
therefore, 580-116 equal 464
Sally take home salary will be $464
Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3
![Find the volume of this cylinder. Use 3 for a.14 ftV = 7r2h=9 ftVV ~ [?]ft3](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/0Lq5pT9j6dHsTX92qJQfgDoEapzxylpV.jpeg)
Answers
The formula for the Volume(V) of the cylinder is given as,
\(V=\pi r^2h\)Given:
\(\begin{gathered} \pi=3 \\ r=14ft \\ h=9ft \end{gathered}\)Therefore,
\(\begin{gathered} V=3\times14^2\times9=3\times196\times9=5292ft^3 \\ \therefore V=5292ft^3 \end{gathered}\)Hence, the volume of the cylinder is
\(5292ft^3\)If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 grams? Round to the nearest tenth of a day.
Answers
Answer: \(26.4\ \text{days}\)
Step-by-step explanation:
Given
Half life of radioactive substance is \(T_{\frac{1}{2}}=20\ \text{days}\)
Initial amount \(A_o=2\ \text{days}\)
Amount left at any time is given by
\(\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}\)
It takes 26.4 days to reach 2 gm.
In 2021, Carla was making $15 per hour and worked 20 hours per week for 25
weeks. How many Social Security credits did she earn?
Answers
Answer:
Approximately 42 credits
Step-by-step explanation:
First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00
Second find how much she makes for those 25 weeks: 375*25: 65,625
Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.
So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.
HELP ME A square pyramid is shown:
A square pyramid is shown. The sides of the square base are labeled 0.6 foot. The height of one of the triangular sides is labeled 7 feet.
What is the surface area of the pyramid? (1 point)
a
2.46 square feet
b
8.76 square feet
c
5.16 square feet
d
1.56 square feet
Answers
Answer:
B. 8.76 square feet------------------------
Each triangle face has height of 7 ft and base of 0.6 ft and the base of the pyramid is the square with side of 0.6 ft.
Total surface area includes a square base and four triangular faces and the measure of it is:
S = 0.6² + 4*(1/2)*0.6*7 = 0.36 + 8.4 = 8.76 ft²The matching choice is B.
simplify the equation 12-2/6+4
i need help asap !!!!
Answers
Answer:
47 / 3 ( Or 1 if you typed it wrong)
Step-by-step explanation:
When simplifying an equation like this, we always want to do our multiplication and division before addition and subtraction.
So for the first step, let's simplify the expression down to only addition and subtraction...
12 - 2 / 6 + 4 =
12 - (2 / 6) + 4 =
12 - 1/3 + 4
Now we can combine everything together from left to right...
(12 - 1/3) + 4 =
35/3 + 4 =
47 / 3
However...
If the original equation was:
\(\frac{12-2}{6+4}\)
Then you would just simplify the top and bottom separately before dividing the two numbers, treating the fraction as parentheses.
So...
(12 - 2) = 10
(6 + 4) = 10
And since 10 / 10 = 1
The answer to the fraction simplification is 1.
The solution of the expression would be 47/3.
Given that,
The expression is,
\(12 - \dfrac{2}{6} + 4\)
Now simplify the expression by applying the BODMAS rule,
\(12 - \dfrac{2}{6} + 4\)
\(12 - \dfrac{1}{3} + 4\)
\(16 - \dfrac{1}{3}\)
\(\dfrac{(48 - 1)}{3}\)
\(\dfrac{47}{3}\)
Therefore, the solution of the expression is 47/3.
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m divided by 19 = -2
(Find m)
Answers
Can u give me the brainliest ^^ plz ☺️☺️
The picture is attached below please help will mark brainliest :)
sorry for my ugly writing ;-;
Name the type of angles shown
Answers
Answer:
check A and C
Step-by-step explanation:
Answer:
Right angle, suppemantary angle, complemantary angle.
Step-by-step explanation:
Ive dont this lesson befoe