The missing measures for the triangle are given as follows:
m < B = 65º.a = 23.8. b = 32.2.What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is obtained as follows:
m < B + 73 + 42 = 180
m < B = 180 - 115
m < B = 65º.
Then the relation is:
34/sin(73º) = a/sin(42º) = b/sin(65º).
Then the value of a is obtained as follows:
34/sin(73º) = a/sin(42º)
a = 34 x sine of 42 degrees/sine of 73 degrees
a = 23.8.
The value of b is obtained as follows:
34/sin(73º) = b/sin(65º)
b = 34 x sine of 65 degrees/sine of 73 degrees
b = 32.2.
More can be learned about the law of sines at https://brainly.com/question/4372174
#SPJ1
a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
https://www.wyzant.com/
a certain car costs $25,000 new, but loses 8% of its original value with every passing year. what is an expression for the cost (c) of the car after y years of use?
Answer:
c = 25,000 - 2000y
Step-by-step explanation:
5(7r - 2) - 12
Simplify it out plzz
Answer:
I think it's 7r-14
Step-by-step explanation:
It says "eliminate redundant parentheses"
Then "subtract the numbers"
And then the solution should be what I put as the answer
Answer:
5(7r - 2) - 12 = 35r - 22
Step-by-step explanation:
First you want to do the mailman (it's what I called it in school) so take 5*7r which is 35r and do 5*(-)2 which is -10. So far the equation looks like this:
35r - 10 - 12
So now you subtract -10 from -12 and since they are both negative numbers it will be -22. So it's 35r - 22
5(7r - 2) - 12
35r - 10 - 12
35r - 22
I hope this helped!!
!!20 points and Brainliest!!!
What should be done to x^2 - 12x to create a perfect square?
A) add 36
B)subtract 6
C)add 6
D)subtract 36
Answer:
A.) add 36To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :
\(( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 \)
Answer:
add 36
Step-by-step explanation:
find the surface area of the cylinder.Round your answer to the nearest tenth.
Answer:
The answer is 3438.16 i think
Step-by-step explanation:
2. Is the point ( -5,11) a solution to the following
system of equations? Show your work.
y = -x + 6
y=-3x – 4
Answer:
Yes it is
Step-by-step explanation:
y = -x + 6
y = -3x - 4
(-5,11)
x = -5
y = 11
y = -x + 6
(11) = -(-5) + 6
11 = 5 + 6
11 = 11
y = -3x - 4
(11) = -3(-5) - 4
11 = 15 - 4
11 = 11
please help! I need help asap
Step-by-step explanation:
5.
normally no.
just think - we are talking about people. it's it possible to have half of a friend at a game ?
no, the input is not possible.
but if this function is used in the context or a larger analysis, and mean values are created and checked, then it might be valid.
it all depends on the context of how the function is used.
2.
we don't see all answer options, but the range is the interval or set of all valid y-values (the 2nd number in an ordered pair).
we see : -1, 3, 4, 6
whichever answer option shows this is correct.
(d) [infinity] 3 n 1 n2 n = 2 inconclusive conclusive (convergent) conclusive (divergent)
As n tends to infinity, limit of the above expression is 3
Hence the sequence is conclusive (divergent).
Therefore, option (d) is the correct answer.
Given sequence is `[infinity] 3 n 1 n2 n = 2`
To check whether the given sequence is convergent or divergent or inconclusive, we use the Ratio test or D'Alembert's Ratio Test.
The formula for Ratio test is lim(n→∞)|a_{n+1}/a_n|
If the value of the above limit is greater than 1, then the sequence is divergent.
If the value of the above limit is less than 1, then the sequence is convergent.
If the value of the above limit is equal to 1, then the test is inconclusive.
|a_{n+1}/a_n| = |(3(n+1) + 1)/(n+1)²| × |n²/(3n+1)|
= 3 × (1 + 1/n) × (1 + 3/n)/(1 + 1/n)²
As n tends to infinity, limit of the above expression is 3
Hence the sequence is conclusive (divergent).
Therefore, option (d) is the correct answer.
To know more about Ratio test , visit:
https://brainly.com/question/32701436
#SPJ11
Mail in female high school students reported how many hours they work each week in summer jobs the data is represented in the following box plots identify any values of data that might affect the systematical measures of spread and center
Answer:
poopooooo1p1p1p1pp11p1p1
Burruss Company developed a static budget at the beginning of the company's accounting period based on an expected volume of 7,000 units: Per Unit Revenue$8.00 Variable costs 3.00 Contribution margin$5.00 Fixed costs 3.00 Net income$2.00 If actual production totals 8,000 units, which is within the relevant range, the flexible budget would show fixed costs of:
If actual production totals 8,000 units, the flexible budget would still show fixed costs of $3.00 per unit. The fixed costs per unit remain the same regardless of the actual production volume.
The static budget was developed based on an expected volume of 7,000 units, with fixed costs amounting to $3.00 per unit.
However, even if the actual production totals 8,000 units, the fixed costs per unit would remain unchanged at $3.00.
This is because fixed costs are not affected by changes in production volume within the relevant range.
The fixed costs represent the expenses that do not vary with the level of production and remain constant regardless of the actual volume of units produced.
Therefore, the flexible budget would still show fixed costs of $3.00 per unit when the actual production is 8,000 units.
To learn more about costs per unit click here: brainly.com/question/29355214
#SPJ11
At the fast food restaurant, an order of fries costs $0.98 and a drink costs
$1.18. How much
would it cost to get 3 orders of fries and 5 drinks? How
much would it cost to get f orders of fries and d drinks?
Answer:
2.94 for fries and 5.90 for drinks
Step-by-step explanation:
round 6.76 to the nearest tenth
Answer:
6.8
Step-by-step explanation:
on september 1, tsang company began a contract to provide services to wilson company for six months, with the total $21,600 payment to be made at the end of the six-month period. equal services are provided each month. the firm uses the account fees receivable to reflect amounts due but not yet billed is?
The Fees Receivable average account is used to record amounts due from Wilson Company for services provided by Tsang Company.
The Fees Receivable account is used to track amounts due from Wilson Company to Tsang Company for services that have been provided but not yet invoiced. The account is created when Tsang Company begins a contract to provide services to Wilson Company for six months at a total cost of $21,600. This amount is paid at the end of the six-month period, with equal services being provided each month. The Fees Receivable account is used to record the amount due each month, with the total balance of the account being equal to the total cost of the services provided. It is important to keep track of amounts due from customers so that the business can accurately track its accounts receivable and ensure that it is receiving payment for the services it has provided.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
which percent is equivalent to 12/25
Answer:
48 percent
Step-by-step explanation:
12 divided by 25 gets you .48 which can be expressed as 48%
Answer:
48%
Step-by-step explanation:
1. Change 12/25 to a fraction with a denominator of 100
25 x 4=100
12 x 4=48
2. Find the percent
48/100= 48%
Descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question.
a) true
b) false
False because descriptive statistics doesn't make any prediction, but inferential statistics make predictions about a population based on a sample of data taken from the population.
Descriptive statistics are informational coefficients that summarize a given data set, but they can't make predictions about the population based on a sample of data for the example is chart or graph.
It has differences from Inferential statistics which allow you to test a hypothesis or prediction from the data. The prediction is made by collecting the sample of data which is taken from the population such as calculating the z-score or ANOVA test.
Find out more on descriptive statistics at: https://brainly.com/question/6990681
#SPJ4
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.
Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.
Data from an experiment and a public opinion poll have distinct characteristics. Experiment data is obtained through controlled studies, measuring the effects of a variable on another variable. Public opinion polls, however, rely on subjective input from individuals to gauge public sentiment. While both types of data have their significance, comparing the collected data to media sources helps assess accuracy, detect biases, and understand the media's influence on public opinion. Describing trends in the data involves identifying patterns or movements over time, while comparing theoretical probability (calculated mathematically) to empirical probability (based on observed data) aids in understanding likelihoods. These evaluations contribute to obtaining reliable and unbiased data for informed decision-making.In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.
For more questions on public opinion polls:
https://brainly.com/question/1086518
#SPJ8
I need help please..
The perimeter and the area of each composite figure is summarized below:
Case 1: p = 2 · (4√2 + 5), A = 20
Case 2: p = 28, A = 16
Case 3: p = 4 · (√13 + 2), A = 48
How to determine the perimeter and area of a composite figure
In this problem we find three cases of composite figures, whose perimeters and areas should be found. The perimeter is the sum of all side lengths and the area is the sum of areas of simple figures. The area formulas needed are introduced below:
Triangle
A = 0.5 · b · h
Rectangle
A = b · h
Where:
A - Area of the figure, in square units.b - Base, in unitsh - Height, in unitsThe length of oblique lines are determined by Pythagorean theorem, whereas lengths of horizontal and vertical lines are found by direct inspection. Now we proceed to find the perimeter and area of each figure:
Case 1:
p = 4 · √(2² + 2²) + 2 · 5
p = 4√8 + 10
p = 8√2 + 10
p = 2 · (4√2 + 5)
A = 4 · 5
A = 20
Case 2:
p = 2 · 6 + 4 · 1 + 4 · 2 + 2 · 2
p = 12 + 4 + 8 + 4
p = 28
A = 2 · 6 · 1 + 2²
A = 12 + 4
A = 16
Case 3:
p = 4 · √(2² + 3²) + 2 · 4
p = 4√13 + 8
p = 4 · (√13 + 2)
A = 4 · 6 + 4 · 0.5 · 2 · 3
A = 24 + 24
A = 48
To learn more on perimeters and areas: https://brainly.com/question/11957651
#SPJ1
30 Points!!
Thank you!
The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle
Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
marco needs to buy some cat food. At the nearest store, 5 bags of food cost $ 17.50. How much would spend on 3 bags of food?
Answer:
$10.50 would be the cost for three bags
Step-by-step explanation:
17.50 divided by 5 gives you the cost for one bag which is $3.50. $3.50 multiplied by 3 gives you $10.50
Answer:
10.5$
Step-by-step explanation:
Cost of 1 bag=17.5$ ÷ 5 = 3.5$
Cost of 3 bags=3 x 3.5 = 10.5$
therefore he will spend 10.5 $
fencing a garden a homeowner has 100 ft of fencing to enclose a rectangular garden. if the garden is to be 5 ft longer than it is wide, find its dimensions.
The dimensions of the rectangular garden is 25 feet by 50 feet
To find the dimensions of a rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, you can use the equation for the perimeter of a rectangle (P = 2l + 2w). Since the perimeter of the rectangle is given (100 feet), you can solve for l and w, the length and width of the rectangle.
P = 2l + 2w
100 = 2l + 2w
50 = l + w l = 50 - w
2(50 - w) + 2w = 100
100 - w = 2w , w = 25 l = 50 - 25, l = 25
Therefore, the dimensions of the rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, is 25 feet by 50 feet.
Read more about perimeter at
https://brainly.com/question/29705172
#SPJ11
a grandfather, two fathers and two sons bought passage for a voyage together and everyone paid for one berth each. how many berths did they buy in total?
Grandfather, two fathers and two sons purchased a total of three tickets.
What is a Mathmatical riddle?
Children must convert a few lines from a real-life incident into the appropriate set of mathematical equations in order to solve a math mystery. Mathematical riddles can be cracked by kids utilizing logic, inventive problem-solving, and common sense.
All three tickets:
Grandfather and His Son's Father
Father and his father's son.
Son.
Two fathers and two sons, then.
As a result, a total of 3 tickets were purchased by a grandfather, two fathers and two sons.
Learn more about mathematical riddle here;
https://brainly.com/question/29651890
#SPJ4
The equation of the directrix is (x=-2, x=2, y=2, y=-2?) and the focus is ( , ). This means that p=
Answer:
First question This parabola opens to the right so the standard form of the equation for this parabola is y^2 = 4px
for this question x=-2
2
0
2
for the third question The equation of the parabola is y^2 = 8x
Step-by-step explanation:
The equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
From the graph the equation will be:
y² = 4px
The focus is (2, 0)
As the directrix is x = -2
The value of p = 2.
Thus, the equation for the parabola is y² = 4px, the equation of the directrix is x = -2, the focus is at (2, 0), and the value of p is 2.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
How do you find the center of a circle with an inscribed triangle?; How do you find the equation of the circle inscribed in the triangle?; Which of the following methods is used to accurately inscribe a circle in a triangle?
The coordinate of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) is (-1,0).
The formula for calculating the coordinate of the centre of the circle inscribed in a triangle whose vertices are \((x1,y1), (x2,y2), (x3,y3)\):
(x,y) = \((\frac{ax1+bx2+cx3}{a+b+c} , \frac{ay1+by2+cy3}{a+b+c})\)
where,
a is the side of triangle opposite vertex (x1, y1)
b is the side of triangle opposite vertex (x2, y2)
c is the side of triangle opposite vertex (x3, y3)
Given vertices of triangle as (−36,7), (20,7) and (0,−8),
By distance formula,
a = \(\sqrt{(20-0)^2+(7+8)^2}\) = 25
b= \(\sqrt{(-36-0)^2+(7+8)^2}\) = 39
c = \(\sqrt{(20+36)^2+(7-7)^2}\) = 56
The coordinates of triangle become:
x = \(\frac{25*-36 + 39*20 +0*56}{25+39+56}\) = -1
y = \(\frac{7*25+39*7-8*56}{25+39+56}\) = 0
(x,y) = (-1,0)
Learn more about circle inscribed in triangle here
https://brainly.com/question/29164331
#SPJ4
The complete question is given below:
Find the coordinates of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) ?
Your mom opens an account to save money for a family vacation. The account earns an animal interest rate of 4%. She earns $37 in simple interest after 6 months. How much money did she put in the account when she opened it? Use the formula: I=prt
Answer:
I = $ 0.74
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
putting time into years for simplicity,
6 months ÷ 12 months/year = 0.5 years,
then, solving our equation
I = 37 × 0.04 × 0.5 = 0.74
I = $ 0.74
The simple interest accumulated
on a principal of $ 37.00
at a rate of 4% per year
for 0.5 years (6 months) is $ 0.74.
BRAINLIEST PLEASE
Assume you earn $50,000 /year and contribute 10% of your salary to your 401 K, and your will employer match up to 3% of your salary. What is the total amount you are putting away in your account each year?
Answer:
To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.
Your contribution: 10% of $50,000
= ($50,000 * 10) / 100
= $5,000
Employer's contribution: 3% of $50,000
= ($50,000 * 3) / 100
= $1,500
Total contribution:
= Your contribution + Employer's contribution
= $5,000 + $1,500
= $6,500
So, the total amount being put away in your account each year is $6,500.
Step-by-step explanation:
Which figure is a translation of Figure 1?
Figure A
Figure B
Figure C
None of the above
could the table of x y pairs be generated by a linear function. yes or no
Question: Could the table of x y pairs be generated by a linear function?
Answer: Yes
hope it helps...
have a great day.