Answers
In each solution, n is an arbitrary integer.
1. Nothing fancy, just take the inverse tangent.
tan(x) = -5
x = arctan(-5) + nπ
x = -arctan(5) + nπ
2. Recall the identity cos(2x) = 2 cos²(x) - 1, then factorize:
cos(2x) - 3 cos(x) + 2 = 0
(2 cos²(x) - 1) - 3 cos(x) + 2 = 0
2 cos²(x) - 3 cos(x) + 1 = 0
(2 cos(x) - 1) (cos(x) - 1) = 0
2 cos(x) - 1 = 0 or cos(x) - 1 = 0
cos(x) = 1/2 or cos(x) = 1
[x = arccos(1/2) + 2nπ or x = -arccos(1/2) + 2nπ]
… or x = arccos(1) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ or x = 2nπ
3. By definition, csc(x) = 1/sin(x) :
csc(2x) + √2 = 0
csc(2x) = -√2
1/sin(2x) = -√2
sin(2x) = -1/√2
2x = arcsin(-1/√2) + 2nπ or 2x = π - arcsin(-1/√2) + 2nπ
2x = -π/4 + 2nπ or 2x = 5π/4 + 2nπ
x = -π/8 + nπ or x = 5π/8 + nπ
4. More factorization:
2 sin²(x) - sin(x) = 0
sin(x) (2 sin(x) - 1) = 0
sin(x) = 0 or 2 sin(x) - 1 = 0
sin(x) = 0 or sin(x) = 1/2
x = arcsin(0) + 2nπ
… or [x = arcsin(1/2) + 2nπ or x = π - arcsin(1/2) + 2nπ]
x = 2nπ or x = π/6 + 2nπ or x = 5π/6 + 2nπ
5. Yet more factorization. Also recall that |cos(x)| ≤ 1 for all x.
4 cos²(x) - 8 cos(x) + 3 = 0
(2 cos(x) - 3) (2 cos(x) - 1) = 0
2 cos(x) - 3 = 0 or 2 cos(x) - 1 = 0
cos(x) = 3/2 or cos(x) = 1/2
The first case gives no solution since 3/2 > 1.
x = arccos(1/2) + 2nπ or x = -arccos(1/2) + 2nπ
x = π/3 + 2nπ or x = -π/3 + 2nπ
6. Recall the identity sin(a - b) = sin(a) cos(b) - cos(a) sin(b).
sin(2x) cos(x) - cos(2x) sin(x) = -√3/2
sin(2x - x) = -√3/2
sin(x) = -√3/2
x = arcsin(-√3/2) + 2nπ or x = π - arcsin(-√3/2) + 2nπ
x = -π/3 + 2nπ or x = 4π/3 + 2nπ
Related Questions
Pls answer the top one!
Answers
Answer:
15800
Step-by-step explanation:
17600/10 =
1760
17600
-1760
15800
The bill is $250.79 You want to leave a 20% tip. How much should the tip be
Answers
Answer:
50 dollars
Step-by-step explanation:
Answer:
Ive got you! The answer is $50.15
Step-by-step explanation:
I used m##hway and put 20% of 250.79 so this is the answer!
POSSIBLE POINTS
There are 160 employees who work for a company. The histogram summarizes the amount of
time each employee has been in his or her current position at the company.
Time at Current Position
45
40
35
30
Number of Employees
25
20
15
10
5
0
0-5
6-11
24-29 30-35
12-17 18-23
Time (months)
Answers
The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
How to interpret the histogram?From the histogram (see attachment), we have the following highlights:
The x-axis represents the number of monthsThe y-axis represents the time spent by the employeesUsing the above highlights, we can see that:
When x = 30 - 35, the value of y is
Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
Read more about histograms at:
https://brainly.com/question/9388601
2x +1
d A right-angled triangle is drawn so
that the hypotenuse is twice the
shortest side plus 1 cm, and the other
side is twice the shortest side less 1 cm.
Find the length of the hypotenuse.
2x-1
Answers
If the hypotenuse = 2x + 1 and the shortest side = x and the other side = 2x - 1
Then we can substitute rose values into the Pythagorus Theorem (a squared plus b squared equals c squared which is the hypotenuse) to the equation in the diagram attached.
Then you just expand the brackets and simplify to get x. Hope that helps.
Hypotenuse = 17cm
Step-by-step explanation:From the question we have that,
It is a right-angled triangleThe shorter side's length is xThe hypotenuse's length is 2x + 1The other side's length is 2x - 1Since this is a right-angled triangle, we can apply the Pythagoras formula:
[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]
This says that the square of the hypotenuse is the sum of the square of the other sides.
From this, we can replace the variables with the actual values:
[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]
We can then expand the exponents to have:
[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]
We can proceed to isolate x:
[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]
We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:
[tex]x^{2} - 8x = 0[/tex]
And we can now solve it using Bhaskara:
[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]
Replacing out values, we've got:
[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]
Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.
We can then calculate the hypotenuse based on this value:
[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]
《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.
Answers
The answer is 0.06
Step-by-step explanation:
Finding Volume
25 x 12 = 300
300 x 10 = 3,000
Into Cubic yards
3,000 / 46,656 = 0.06430041152
Nearest hundredth
0.06
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Say that Australia has a working population of 11,565,470 people, and that the average salary is $26.450
annually. How much tax revenue would Australia generate each year by instituting a 31.4% income tax?
a $81,528,467,671
b. $90,224,333,274
c$96.054,697.991
d $209,851,983,509
Answers
Answer:The tax revenue Australia would generate each year is $96,054,697,991.
What is the percentage?
The percentage is the value per hundred.
Working population of Australia = 11,565,470 people
Annual average salary = $26,450
Income tax rate = 31.4%
Tax revenue generated by each resident = 26450*(31.4/100)
Tax revenue generated by each resident =$8305.3
So, Tax revenue generated by 11,565,470 residents = 11,565,470*8305.3
Tax revenue generated by 11,565,470 residents = $96,054,697,991
Therefore, the tax revenue Australia would generate each year is $96,054,697,991.
To get more about taxes visit:
brainly.com/question/509359
Step-by-step explanation:
NO LINKS!!! Please help me. Part 3
Answers
Answer:
ST = 63
HI = 28
IJ = 21
Step-by-step explanation:
Given: RSTUV ~ JFGHI
From inspection of the diagram, the corresponding sides are:
RS~JF
ST~FG
TU~GH
UV~HI
VR~IJ
The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.
TU = 72 and GH = 56
⇒ TU/GH = 72/56 = 9/7
Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7
If FG = 49
⇒ ST = 49 × 9/7 = 63
If UV = 36
⇒ HI = 36 ÷ 9/7 = 28
If VR = 27
⇒ IJ = 27 ÷ 9/7 = 21
Answer:
ST = 63, HI = 28, IJ = 21
Step-by-step explanation:
Step 1: Determine the scale
UT = 72 and HG = 56
[tex]72 / 56 = 9/7[/tex]
Step 2: Determine ST
We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]ST = GF * 9/7[/tex]
[tex]ST = 49 * 9/7[/tex]
[tex]ST = 63[/tex]
Step 3: Determine HI
We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]HI = VU / (9/7)[/tex]
[tex]HI = 36 / (9/7)[/tex]
[tex]HI = 28[/tex]
Step 4: Determine IJ
We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.
[tex]IJ = RV / (9/7)[/tex]
[tex]IJ = 27 / (9/7)[/tex]
[tex]IJ = 21[/tex]
Answer: ST = 63, HI = 28, IJ = 21
A search plane carries radar equipment that can detect metal objects (like submarine periscopes or plane wreckage) on the ocean surface up to 15.5 miles away. If the plane completes a circular flight pattern of 471 miles in circumference, how much area will it search?
Answers
The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex] sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units
How are radius and circumference of a circle related?Suppose that a considered circle has:
Circumference = C unitsRadius = r unitsThen, we get:
[tex]C = 2\pi r \: \rm units[/tex]
So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.
That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).
The graph given describes the region of scan.
The blue region's area = Outer circle's area - Internal circle's area
The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:
[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]
The outer circle has the radius = internal circle's radius + diameter of the radar circle = [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]
Thus, we get:
Area of internal circle = [tex]\pi r^2 = \pi \times \left( \dfrac{471}{2\pi} \right)^2 \approx 17,653.56 \: \rm miles ^2[/tex]Area of outer circle = [tex]\pi \times \left( \dfrac{471}{2\pi} + 30 \right )^2 \approx 34610.98 \: \rm miles ^2[/tex]Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²
Net area which is searched by the search plane ≈ 16957.42 miles²
Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.
Learn more about area of a circle here:
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#SPJ1
100 POINTS AND WILL GIVE BRAINLIEST IF IT INCLUDES STEPS
Create and solve a multi-step equation word problem that includes at least THREE STEPS (three or more mathematical operations), that will have a final answer of 12. THE EQUATION MUST INCLUDE A VARIABLE
Answers
Zeirah has 3 times more apples than Riya, in total they have 48 apples
consider Riya has x apples
Let the equation be:
3(x) + x = 4 * 124(x) = 48x = 48/4x = 12→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples
==============
contains the mathematical operations:
division ( / )multiplication ( * )addition ( + )
NEED HELP WITH THIS QUESTION!!!
Answers
Answer:
15x - 30 is the ansanswer
Please help me I need help
An accounting firm wants to know how many tax payers will wait until the last day to file their taxes. A group of 1000 tax filers were randomly surveyed, revealing that 100 of them said it was likely that they would not file until the last day. Based on this information, a 95% confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. In this problem, which of the following is the margin of error?
a 1%
b 2%
c 3%
d 4%
If random samples are selected from a population, what happens to the margin of error if the sample size is increased from 100 to 400?
a the margin of error increases
b the margin of error decreases
c the margin of error stays the same
Answers
Using confidence interval concepts, it is found that:
The margin of error is of b) 2%.Increasing the sample size, b) the margin of error decreases.What is the margin of error of a confidence interval and how it relates to the sample size?Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.
So, for an interval that is (8%, 12%), the margin of error is given by:
M = (12 - 8)/2 = 2%.
Which means that for the first question, option B is correct.
Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.
More can be learned about confidence interval concepts at https://brainly.com/question/25890103
a^3 b^2/a^-1 b^-3 please help!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hope the picture will help you.............
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
L Co, P)
O 3x - 4y = -17
0 3x - 4y = -20
O 4x + 3y = -2
O 4x + 3y = -6
Answers
Answer:
4x+3y=(-6)
Last option
how do you convert a quadratic equation from standard form into factored form?
Answers
Step-by-step explanation:
I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.
Let’s take an example. You have x^2+6x+8.
First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.
Step 1:
x^2 * 8= 8x^2
Step 2:
(break the middle term)
x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)
Step 3:
(separate the common terms)
x(x+4)+2(x+4)
(x+2)(x+4)
Identify the domain of the following rational expression:
7x/3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
Answers
Answer: D
Step-by-step explanation:
The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:
[tex]3x+15=0[/tex]
[tex]3x=-15[/tex]
[tex]x=-5[/tex]
Every single real 'x' value will work besides when x = -5. Therefore the answer is D
Give an example of two different sets of data, in which both box plots have the same range and IQR and yet represent completely different data. Explain.
Answers
Answer:
set 1 and 2
Step-by-step explanation:
Set 1 has 10
Set 2 has 13
1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?
4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?
5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?
6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?
7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?
8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?
9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?
10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?
What you need to do:
Please WRITE both equations for each problem, identify what your variables represent, and solve the system.
I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST -
Don’t answer if you are just going to put a link.
Answers
Question no.1:
Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?
Solution:
Let the cost of one apple be "y" and the cost of one orange be "x".
Here,
According to question,
8x + 7y = $10.20 5x + 14y = $12.15
=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8
=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)
By Elimination method,
Equation (i) - (ii)
(40x + 35y) - (40x + 112y) = 51 - 97.2
=> 40x + 35y - 40x - 112y = - 46.2
=> - 77y = - 46.2
=> y = 46.2/77
=> y = 0.6
Putting the value of "y" in equation (i) we get,
40x + 35y = 51
=> 40x + 35 × 0.6 = 51
=> 40x + 21 = 51
=> 40x = 51 - 21
=> 40x = 30
=> x = 0.75
Therefore the cost of one orange is $0.75 and the cost of one apple is $ 0.6.Question no.2:
Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?
Solution:
Let the cost of a small box be "x" and the cost of a large box be "y".
Here,
According to question,
2x + 5y = $31 4x + 7y = $47
4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2
=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)
By Elimination method,
Equation (i) - (ii)
(8x + 20y) - (8x + 14y) = 124 - 94
=> 8x + 20y - 8x - 14y = 30
=> 6y = 30
=> y = 30/6
=> y = 5
Putting the value of "y" in Equation (ii) we get,
8x + 14y = 94
=> 8x + 14 × 5 = 94
=> 8x + 70 = 94
=> 8x = 94 - 70
=> 8x = 24
=> x = 24/8
=> x = 3
Therefore, the cost of a small box is $3 and the cost of a large box is $5.The quotient of a number, z, and 21 is 42.
Which equation and value of z represent this relationship?
Answers
The relation is given by the equation (z/21) = 42, then the value of the z will be 882.
What is the quotient?The quotient means the separation of something into different parts, sharing of something among different people, places, etc.
The quotient of a number, z, and 21 is 42.
The relation can be given as
[tex]\rm \dfrac{z}{21} = 42[/tex]
Then the value of z will be
[tex]\rm z = 21 \times 42\\\\z = 882[/tex]
More about the quotient link is given below.
https://brainly.com/question/369266
Write the following number in scientific notatic
211.000
4.
Write 211,000 in scientific notation
Answers
Answer:
Hope this helped and brainliest please
Step-by-step explanation:
Scientific notation is standard form.
To write a number in standard form, we use the format:
a×10^b
where 1 ≤ a < 10
a would be 2.11 in this question.
As we can see the decimal point has move 5 places to be after 2 so our b value will be 5
Our answer will be :
2.11×10^5
Hope this helped and brainliest please
Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
4x+5y=20
The slope is _________ .
The y-intercept is __________ .
The equation written in slope-intercept form is _______ .
Answers
Answer:
slope is 4 or 4/1
y-int is 5
PLEASE WILL SOMEBODY HELP ME
Answers
Answer:
Pic 1: C.
Pic 2: D.
Step-by-step explanation:
1) The sample is the number of things picked out from a population. The amount of people surveyed is the sample, so it the answer choice showing "42 residents" as the sample is among a correct option. Since C is the only one with "42" as the sample, it is the answer.
2) Boosting morale isn't a negative thing, and will ultimately make residents happier. It leans towards "yes."
Adding a machine for enjoyment also leans towards "yes", because people will then have something fun to dsitract themselves with.
Many people will have access to the machine in the lunch room. They can also have a soft drink for lunch, which adds a tasty part to their lunch. It too leans towards "yes."
In a crowded lunchroom, the soft drink machine may be crowded by many people and it could take a while to get one for yourself. It is also vulnerable to breaking from too many people using it at once. It leans towards a "No" response.
Therefore, D is the best answer.
hope this helps!
20 POINTS AND WILL GIVE BRAINLIEST
Use the function f(x) = 2x2 − 5x + 3 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answers
Answer:
x=5/7Step-by-step explanation:
=2×2-5x+3 =4-5x+3 5x=4+3 5x=7 divide 5 both side with make value of x x=5/7 is my answer of part A.Find the surface area of the pyramid.
64in^2
56in^2
88in^2
118in^2
Answers
Answer:
To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.
Plug in what you know, given that the base of one triangle is 4, and the height is 6.
A = 4(6) x 1/2
A = 24 x 1/2
A = 24/2
A = 12, the area of one triangle is 12 inches.
Now, we find the area of all the triangles by multiplying the area of one triangle by 4.
12 = Area of triangle
4 triangles in total, so:
12(4)
= 48 inches is the area of all the triangles.
Now we find the area of the base(square) using the formula;
(vol of square formula)
A = [tex]s^{2}[/tex]
Where 's' represents one side of the square which is being squared.
or
A = l · w
Where 'l' represents the length and 'w' represents the width.
Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).
(I'll be using the formula [tex]s^{2}[/tex])
A = [tex]s^{2}[/tex]
A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)
A = 16, the area of the base(square) is 16 inches.
Now we add both areas together:-
48 + 16
= 64 inches^2 is the surface area, your answer is A.
A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?
Answers
MARKING BRAINLIEST What is the domain of y=0
Answers
Answer:
The answer is all real numbers :)
Step-by-step explanation:
he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)
Have an amazing day!!
Please rate and mark brainliest!!
You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes
Answers
Answer:
20 minutes
Step-by-step explanation:
60÷3=20
Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins
20 min
Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.Hope it helps.
Do comment if you have any query.
8 x 3/10 in simplest form
Answers
Answer:
Step-by-step explanation:
how much money does one person get for working 3 hours and 45 minutes at $6 per hour
Answers
$22.50
45/60 = 0.75 in hours
3.75 hours in total
3.75x6=22.5
Hope this helps!
Shane has $15,000 property damage insurance and $4,000 comprehensive and collision insurance with a $500 deductible. He slides on ice and hits a parked car, causing $8,500 worth of damage. The accident causes $6,750 of damage to his own car. How much will the insurance pay to fix both cars?
Answers
If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.
Insurance coverageUsing this formula
Insurance coverage=Total cost of damages-Deductible
Where:
Total cost of damages=($8,500+$6,750)
Deductible=$500
Let plug in the formula
Insurance coverage=($8,500+$6,750)-$500
Insurance coverage=$15,250-$500
Insurance coverage=$14,750
Therefore the amount that the insurance company will pay to fix both cars is $14,750.
Learn more about insurance coverage here:https://brainly.com/question/11776206
What is 90 percent of 35
Answers
Answer:
31.50
Step-by-step explanation:
All you have to do is multiply 35 by 90% or .90
35 x .90 = 31.5