The positive measure is 220° and the negative measure is -140°.
How to find the measures of the angle?First, we know that the reference angle is 40°, and it lies on the third quadrant.
So these 40° are measured from the negative x-axis (the axis where the quadrant starts).
This means that the angle measured in the standard way (from the positive x-axis) measures:
M = 40° + 90° + 90° = 220°.
To find the negative measure, we remember that any angle A is equivalent to:
B = A + n*360°.
Where n is an integer.
If we take n = -1 for our angle, we get:
M' = 220° + (-1)*360° = -140°.
So the positive measure is 220° and the negative measure is -140°.
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hellppppppppppppppppppp
Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
__
setuptan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
solutionMultiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
_____
Additional comment
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
The average age of a father and his four children is 12 years. The children are aged 3, 5, 6 and 10 years. Find the age of the father.
Answer:
Father=36 years old
Step-by-step explanation:
5 people 4 children and a father
average age=12
add the ages
3+5+6+10=24
24+12=36
check the work
36 +24=60
60/5=12
answer=36
Answer:
36 years old
Step-by-step explanation:
The average age of father and four children can be expressed in mathematics as:
[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]
The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:
[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]
Determine or let the following be:
f = father’s agec1 = first child’s agec2 = second child’s agec3 = third child’s agec4 = fourth child’s ageIt is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]
From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.
First, multiply 5 both sides to get rid of denominator.
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]
Evaluate 3+5+6+10 which equals 24.
[tex]\displaystyle \large{f+24=60}[/tex]
Next, subtract both sides by 24 to isolate f-term.
[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]
Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!
If you have any doubts, please let me know in the comment!
Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x
Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
Logarithmic functionLogarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
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1. The letters of the word MASK are placed in a box. What is the probability that you get M when you pick from the box without looking? 2. Eunice and the other 5 applicants apply for a job as a nurse. What is the probability that Eunice gets hired? 3. Four boys and six girls are joining the final Math Quiz. What is the probability that one of the girls wins?
Answer:
1. 25%
2 and 3: See below.
Step-by-step explanation:
1. There are 4 letters in the box, all different. The odds of randomly picking 1 letter is 1/4, or 25% That is true for any of the letters.
Questions 2 and 3 technically cannot be answered. In both cases, the selection process involves more than random chance. The selection of a nurse depends on qualifications such as training and experience. Winning the math quiz depends on knowledge and practice. Neither question is a random selection.
If the questions were random, the answers would be:
2. 1/5 or 20% that Eunice gets picked, and
2. 6/10 or 60% that a girl wins
Find the total surface area of this cuboid.
4 cm
5 cm
2 cm
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
What is true about the net of a pyramid?
It will always contain exactly 1 triangle.
It will always contain exactly 2 triangles.
It can contain any number of triangles greater than or equal to 3.
It can contain any number of triangles greater than or equal to 4.
A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.
What is the net of a 3-D shape?A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.
The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.
Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.
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Which is the graph of f(x) = (x + 3)(x - 2)?
6
6
4-
2
4 6
-6
4 -2
4
2
3
T
2
2
4
642
1-2
2
4 6
4
-2
2.
2
T9
2
Answer: It should look something like this.
Step-by-step explanation:
The graph of f(x) = (x + 3)(x - 2) is a parabolic function that is the product of two linear factors, (x + 3) and (x - 2).
The graph is given below.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To understand the graph, we can begin by considering the x-intercepts, which are the points where the graph crosses the x-axis.
These occur where the value of f(x) is zero, which happens when either
x + 3 = 0 or x - 2 = 0.
So the x-intercepts are x = -3 and x = 2.
Next, we can consider the leading coefficient, which is 1 in this case.
Since the leading coefficient is positive, the parabola opens upward.
We can also find the vertex of the parabola by completing the square.
We have:
f(x) = x² + x(-2 + 3) - 2(-3)
f(x) = x² + x + 6
Now we can rewrite this in vertex form:
f(x) = (x + 1/2)² + 23/4
So the vertex is (-1/2, 23/4), which is a minimum point on the graph.
Thus,
We can sketch the graph of f(x) = (x + 3)(x - 2) as an upward-opening parabola that crosses the x-axis at -3 and 2 and has a minimum point at (-1/2, 23/4).
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PLEASE HELP!! 50 POINTS!!
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation:
Evaluate the expression.
1/4 × 2/5 ÷ 1/3
Write your answer as a fraction or as a whole or mixed number.
it would help if you answered it as a fraction pls
Answer:
The answer is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Find the value of x. (Giving 30 points please hurry)
Answer: Hope this helps you!
x = 4
Step-by-step explanation:
4+(x-3) = 2x-3
remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)
4+x-3 = 2x-3
Simply
1+x = 2x-3
subtract x from both sides
1 = 1x -3
add 3 to both sides
4 = 1x
divide by 1
4 = x
Brainliest?
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
O 500(10) + 600(2)
O 500(12) + 600
O 500(12)
O 500(2) + 600(10)
Answer:
500(10) + 600(2)
Step-by-step explanation:
Answer:
500(10) + 600(2)
Step-by-step explanatio:
500*10+600*2
5,000+1,200
6,200
Solve:2 In 3 = In(x-4)
x=13 and don't forget to mark me brainlist!
URGENT PLEASE HELP. CORRECT ANSWERS GETS BRAINLIST
Usain Bolt ran the 100m final at the 2012 Olympic Games in 9,63 seconds. Convert the time he ran the race to minutes. Write your answer in scientific notation.
Answer: 1.601 × 10^-1
Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes
9.63 seconds = 9.63/60 minutes
9.63/60 = 963/6x1000 = 321/2x1000
=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)
Given the function h of x equals 3 times the cube root of x minus 5 end root plus 6, what is the x-intercept of the function?
6
5
–3
–5
The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3
How to determine the x-intercept?The function is given as:
[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]
The x-intercept is when h(x) =0.
So, we have:
[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]
Subtract 6 from both sides
[tex]3 * \sqrt[3]{x - 5} = -6[/tex]
Divide both sides by 3
[tex]\sqrt[3]{x - 5} = -2[/tex]
Take the cube of both sides
x - 5 = -8
Add 5 to both sides
x = -3
Hence, the x-intercept of the function is -3
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Answer:
Step-by-step explanation:
^^
30 people are running for an office to be chosen randomly. You plan to use a 6-sided dice and a spinner. How many sections need to be on the spinner so each person has their own shape and number?
Select one:
a.
8
b.
6
c.
5
d.
24
The number of sections on the spinner so that each person has heir own shape and number is 5
How to determine the number of sections?The given parameters are:
People, n = 30
Die = 6 sided
Let the sections on the spinner be s.
The equation to calculate s is represented as:
People = Die * s
This gives
30 = 6 * s
Divide both sides by 6
s = 5
Hence, the number of sections on the spinner so that each person has heir own shape and number is 5
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Answers for this worksheet???
Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL
Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.
- Hope this helps!
Which of the equations listed are parallel lines?
A:y=2x+ 3
B: y = 2x-5
C:y= -2x+ 3
Answer:
A and B
Step-by-step explanation:
Hello!
Parallel lines are lines with the same slope but different y-intercept.
y = mx + b
y = output, y-value, ordinatex = input, x-value, abscissam = slopeb = y-interceptA:
y = 2x + 3 has a slope of 2 and a y-intercept of 3.
B:
y = 2x - 5 has a slope of 2 and a y-intercept of -5
C:
y = -2x + 3 has a slope of -2 and a y-intercept of 3
Since A and B have the same slope but a different y-intercept, they are parallel lines.
Year(x) 1971
Percent(y) 42.4
1978
37.4
1980
37.1
1984
34.1
1989
32.1
1993
28.8
1997
25.7
2000
25.5
Answer:
25.5
Step-by-step explanation:
I did the same assignment
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
Every triangle has __________ midsegments. : A) three B) two C) zero D) one
In one country, approximately 178,200 of 990,000 residences are rentals. Determine the percentage of residences in the country that are rentals.
Answer:
18%
Step-by-step explanation:
178 200 / 990 000 x 100% = 18%
A water tank is built in the form of a right rectangular prism, with dimensions that measure 17.6 ft by 12.6 ft by 10.4 ft. How many cubic feet of water would it hold when it’s a quarter full?
Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The total volume of the right rectangular prism will be,
Total Volume = 17.6ft × 12.6ft × 10.4ft
= 2306.304 ft³
Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.
Now, the amount of water that this tank will hold till it is a quarter full is,
Amount of water = Total volume /4
= 2306.304ft³ / 4
= 576.576ft³
Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
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Evaluate the following numerical expressions.
a. 2 × 5 + 3 × 2 + 4
b. 2 × (5 + 3 × 2 + 4)
30
c. 2 × 5 + 3 × (2 + 4)
d. 2 × (5 + 3) × 2 + 4
e. (2 × 5) + (3 × 2) + 4
f. 2 × (5 + 3) × (2 + 4)
Can the parentheses in any of these expressions be removed without changing the value of the expression? Explain why or why not.
Answer:
Step-by-step explanation:
A. 20
B. 20 (what is the 30 thing)
C. 28
D. 36
E. 20
F. 96
Please need help with this things
Answer:
A B and C
Step-by-step explanation:
find the values of a,b and c
Answer:
[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]
Step-by-step explanation:
[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]
How do u find the volume of 10m ,12m ,and 15m room
Answer:
1800 meter cube
Step-by-step explanation:
you know volume = W× h× b = meter cube
10 m × 12m× 15m = 1800 meter cube
I need help please help me please
Answer:
1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8
< = Angle
The chess club offered free ice pops to 200 students. Only
170 students accepted the treat. What percentage of students accepted an ice pop?
Answer:
Below
Step-by-step explanation:
100 * 170/200
= 170/2
= 85%.
To spend the least amount total, amir should buy the computer in . amir would pay the most sales tax in . amir would pay $60 in sales taxes in .
Amir should buy the computer in Paris
Amir would pay the most sales tax in Maryland.
Amir would pay $60 in sales tax in Washington DC
The complete question is
Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in
What is sales tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services.
In Washington, DC, the sales tax rate is 6 percent.
Paris, the sales tax rate is 5 percent.
Maryland, the sales tax rate is 9 percent.
1. To buy the computer he should prefer Paris
2. To pay the most sales tax he should prefer Maryland.
3. To pay $60 in sales tax in he should prefer Washington DC.
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Answer:
virginia, maryland, washington
Step-by-step explanation:
edge
A study of the amount of time it takes a specialist to repair a mobile MRI shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 32 broken mobile MRIs are randomly selected, find the probability that their mean repair time is less than 8.9 hours.
Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]
The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]
Z = 1.57
Z = 1.57 has a p-value of 0.9418.
1 - 0.9418 = 0.0582.
0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
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