Answer:
x = 31.8°
Step-by-step explanation:
Applying the Law of Sines, we have:
[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]
Multiply both sides by 12
[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]
[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]
[tex] sin(x) = 0.5269 [/tex]
[tex] x = sin^{-1}(0.5269) [/tex]
x = 31.8° (nearest tenth)
Coniya
The owner of Wayne's Auto Repair charges a
customer $285 for parts plus an hourly labor cost.
The customer paid for 2.5 h of labor and paid a total of
$490.
What is the hourly labor cost?
O $80.00 per hour
$82.00 per hour
0 $86.00 per hour
O $89.00 per hour
Answer:
$82 per hour
Step-by-step explanation:
Total cost to customer: $490
Cost for parts: $285
$490-$285 = $205
There is a total labor charge of $205.
The problem tells us that the customer paid for 2.5 hours of labor.
$205/2.5 hours = $82.00 per hour.
Question 5 (4 points)
(06.01)
Evaluate the expression 43 ÷ (7 − 3) × 2. (4 points)
Answer:
21.5
Step-by-step explanation:
(solve in parentheses first)
43/(7-3)x2
(43/4)x2
86/4
21.5
Answer:
[tex]21.5[/tex]
Step-by-step explanation:
First you have to simplify 7 - 4 to 3.
[tex]43 \div 4\times 2[/tex]
Then Simplify 43 ÷ 4 to 10.75.
[tex]10.75 \times 2[/tex]
And lastly, Simplify.
[tex]21.5[/tex]
Therefor, the answer is, 21.5.
A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
consider the line y=6/7x-7
find the equation of the line that is perpendicular to the line and passes through the points (6,3)
find the equation of the line that is parallelto the line and passes through the points (6,3)
Answer:
y = -7/6x + b
Step-by-step explanation:
Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.
y = 6/7x -7 (6,3)
y = -7/6x + b
3 = -7/6(6) + b
3 = -7 + b
7 7
10 = b
y = -7/6x + b
Answer:
see below
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will have a slope of -7/6.
Plug this value (-7/6) into your standard point-slope equation of y = mx + b.
y = -7/6x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -7/6(6) + b
To find b, multiply the slope and the input of x (6)
3 = -42/6 + b
3 = -7 + b
Now, add 7 to both sides to isolate b.
10 = b
Plug this into your standard equation.
y = -7/6x + 10
This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)
If two lines are parallel to each other, they have the same slope.
The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.
Plug this value (6/7) into your standard point-slope equation of y = mx + b.
y = 6/7x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = 6/7(6) + b
To find b, multiply the slope and the input of x (6)
3 = 36/7 + b
Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.
21/7 - 36/7 = b
-15/7 = b
Plug this into your standard equation.
y = 6/7x - 15/7
This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)
Hope this helps!
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
it’s MATH who knows how to do this i’m down bad
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction
Answer:
mhyjdhttugjfiydjydjy
Answer:
egrhvvfgwgetfj sgtuykyhdfv.
Step-by-step explanation:
sgdhfbf gbdvdvfdfvfvtv mgbjsg gfvthrUsing your linear function, find the distance traveled in 7 hours.
Answer:
Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.
We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.
We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.
Step-by-step explanation:
y = 350 miles
count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 455 miles
count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 140 miles
count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 280 miles
count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
write 7^3 × √ 7 as a single power of 7
Step-by-step explanation:
7^3 × 7^(1÷2)
= 7^(3+ 0.5)
=7^3.5 ans
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail’ age?
Answer:
Mikhail = 22
Step-by-step explanation:
Mikhail = x
Gabrielle = x-9
x+x-9=35
2x=35+9
2x=44
x=22
Circle the fraction greater than 3/10?
1/3
3/11
4/15
Or 29/100
Answer:
1/3 is the only fraction here that is greater than 3/10.
Step-by-step explanation:
Convert these to decimals first, which can make it easier.
1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.
3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.
4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.
29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.
So the answer is 1/3.
Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answer:
4 miles/1 day=56 miles/X days
X=56/4=14
Step-by-step explanation:
Answer:
She runs 14 miles.
explanation:
I got it right on my test (before I saw the other answer).
Jane needs to miss fewer than 1__6of the words on her spelling list. If there are 18 words, how many can she miss? Explain.
Answer:
Assuming that you mean 1/6, the answer would be 3 .
Step-by-step explanation:
1/6 x 18 is equal to three.
4 x 3/4 is greater than 3/4 , since 4 is greater than 1. True o false
Answer:
Trueeee I guessss
Step-by-step explanation:
I don't know
please helppp
Simplify.
(-2)^-3
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
13x-5 Ugh help please
[tex] \huge\bf\red{answer}[/tex]
The expression is not factorable with rational numbers.Classify by degree of polynomial:
3x3 - 6x
Answer:
3x(x2−2)
Step-by-step explanation:
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
Drag steps into order to correctly solve the equation x−27=62 for x.
Answer:
x - 27 + 27 = 62 + 27
x - 0 = 89
(annex rule)
x = 89
Step-by-step explanation:
please mark brainlist
In March of 2018, a survey asked 801 US adults whether they had at least one subscription to a video-streaming service. Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service. What is the correct 95 percent confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service?
Answer:
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.
This means that [tex]n = 801, \pi = \frac{457}{801} = 0.5705[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048[/tex]
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
If 84 of the 224 participants in club activities are nonresidents what is the ratio of residents to nonresidents who participate in club activities
Answer:
5:3
Step-by-step explanation:
140:84 =
35:21 =
5:3
Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)
The ratio is 5:3
What is ratio?A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Total participants= 224
nonresidents =84
So, residents= 224-84 = 140
Now, ratio of residents to nonresidents
=140/84
=70/42
=10/6
=5/3
Learn more about ratio here:
https://brainly.com/question/26974513
#SPJ6
Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!
Step-by-step explanation:
4+12x=7
12x=7-4
12x=3
X=3/12
X=0.25
If the tax rate in a certain city is 8.75%, how much tax is added to the purchase of carpeting that costs $1,500?
Answer:$1312.5
Step-by-step explanation:
1500x1.875=2812.5
2812.5-1500=1312.5
After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
Bumper Cars:
6 minutes: 8 tickets
8 minutes:12 tickets
Which one gives you more time for your money?
Answer:
The option of 6 minutes with 8 tickets given more time for the money.
Step-by-step explanation:
Which one gives you more time for your money?
We have to find the time per ticket, which is the number of minutes divided by the number of tickets.
6 minutes: 8 tickets
6/8 = 0.(60/8) = 0.75 minutes per ticket.
8 minutes:12 tickets
8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.
So the option of 6 minutes with 8 tickets given more time for the money.
Given the equation 3x + y = 14, determine the slope of the line
Answer:
-3 is the slope of the line.
Step-by-step explanation:
You have to rearrange the equation to slope intercept form, y=mx+b.
3x+y=14
-3x -3x
y=-3x+14
Answer:
3x + y = 14
Step-by-step explanation:
rewrite in y = mx + b format
i.e y = 3x - 14
where m = slope
therefore m=3
Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?
Answer: 420
Step-by-step explanation:
I took the test and got it right lol
Solve the proportion 2x+3/3 = 9/27
Answer:
-0.3333333333
Step-by-step explanation: