Answer:
a = 22
Step-by-step explanation:
The law of cosines can be written 3 different ways for a triangle, each way with a different angle. Here, the given angle is angle A, so we write the law of cosines with angle A.
\( a^2 = b^2 + c^2 - 2bc \cos A \)
\( a^2 = 15^2 + 12^2 - 2(15)(12) \cos 110^\circ \)
\( a^2 = 225 + 144 - 360 \cos 110^\circ \)
\( a^2 = 369 - 360(-0.34202) \)
\( a^2 = 369 + 123.12725 \)
\( a^2 = 492.12725 \)
\( a = \sqrt{492.12725} \)
\( a = 22 \)
he equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 4/9x
Answer:
4/9
Step-by-step explanation:
4/9 is the coefficient of the 'x' term and is considered to be the constant of proportionality
Triangle ABC is transformed to triangle A' B'C', as shown below:
B
-4 CA-2-10
26
3 4
A
Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)
mZCAB = mZC'B'A'
mZBCA = MZA'B'C'
OmZCAB = mZC'A'B'
OmZBCA = mZC'A'B'
I need help please
here is the picture is about Row Ops
Row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
row 1 of the given matrix are: 2, 0, and 3, multiplying row 1 with 1/4 gives;
1/4 × 2 = 1/2
1/4 × 0 = 0
1/4 × 3 = 3/4
Therefore, row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
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A baker sells bread for $3 a loaf and rolls for $1 each. The baker needs to sell $12 worth of baked goods by
the end of the day.
Use the graph to approximate how many loaves of bread the baker must sell if 6 rolls are sold, where b is
the number of loaves of bread and r is the number of rolls.
Answer:
2 loaves of bread
Step-by-step explanation:
3b + r = 12
3b + 6 = 12
b = 2
Answer:
2
Step-by-step explanation:
i need help with this problem 12
A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 204 like rock,164 like country, and 129 like jazz. Moreover, 24 like rock and country, 29 like rock and jazz, 29 like country and jazz, and 9 like all three types of music. How many students surveyed liked exactly one of the three types of music? (Note: A Venn diagram may be useful here.)
a) 200
b) 500
c) 140
d) 360
e) 9
Answer:
d) 360
Step-by-step explanation:
To solve this problem, we can use a Venn diagram. Let R, C, and J represent the sets of students who like rock, country, and jazz, respectively. We can fill in the diagram with the given information:
J
/ \
/ \
/ \
RC-----C
\ /
\ /
\ /
R
We know that:
The total number of students surveyed is 500.
9 students like all three types of music, so we can put 9 in the intersection of all three sets (RCJ).
24 like rock and country, so we can put 24 in the intersection of R and C (RC).
29 like rock and jazz, so we can put 29 in the intersection of R and J (RJ).
29 like country and jazz, so we can put 29 in the intersection of C and J (CJ).
We can calculate the number of students who like only one type of music by subtracting the number of students who like two or three types of music from the total number of students surveyed:
Total = R + C + J - RCJ
500 = 204 + 164 + 129 - 9
We can use this equation to solve for R, C, and J:
R = 204 - 24 - 29 - 9 = 142
C = 164 - 24 - 29 - 9 = 102
J = 129 - 29 - 29 - 9 = 62
So there are 142 students who like rock only, 102 students who like country only, and 62 students who like jazz only. Therefore, the total number of students who like exactly one type of music is:
142 + 102 + 62 = 306
Therefore, the answer is (d) 360.
Number the lengths in order from shortest to longest. 2ft. 1yd. 9 ft. 18 in. 2 yd. ??
Answer:
18in.,2ft.,1yd.,2yd.,9ft.
Step-by-step explanation:
18 inches is 1 foot and 6 inches so its the smallest. 2 feet is smaller than a yard so it goes next.After that is the yard it is 3 feet so thats why it goes after 2 feet.2 yards is 6 feet and 9 feet is bigger than 6 so thats why its the last.
Answer:
18 inches inches is 1 foot and 6 inches so its the smallest. 2 feet is smaller than a yard so it goes next.After that is the yard it is 3 feet so thats why it goes after 2 feet.2 yards is 6 feet and 9 feet is bigger than 6 so thats why its the last.
The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
The correct answers are:
f(-6) = 8f(3) = -2f(x) = -5 when x is 4What is the function?Functions are expressions separated by an equal sign. They have both dependent and independent variables.
How to solve* Lets explain how to solve the problem
- The table of the function has two column
# First column labeled x with entries:
-6 , 7 , 4 , 3 , -5
# Second column labeled f(x) with entries:
8 , 3 , -5 , -2 , 12
∴ The ordered pairs of the function f(x) are:
(-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)
* Lets complete the missing
∵ The value of x in the first row is -6
∵ The value of f(x) in the first row is 8
∴ The function notation in the 1st row is f(-6) = 8
- The ordered pair given in the first row of the table can be
written using function notation as f(-6) = 8
∵ The ordered pair whose x = 3 is (3 , -2)
∴ The value of f(x) when x = 3 is -2
∴ f(3) = -2
∵ The ordered pair whose f(x) = -5 is (4 , -5)
∴ The value of x when f(x) = -5 is 4
∴ f(x) = -5 when x is 4
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Which points are on the graph of a linear function? Select all that apply.
(-1, 7), (0,5), (1,3)
(-1, 1), (0, 0), (1, 1)
(0,5), (2,5), (3, 14)
(0, -3), (2, 5), (4, 13)
Answer:
Step-by-step explanation:
(-1,7), (0,5), (1,3)
and
(0,-3), (2,5), (4,13)
Select all the correct answers. Two parallel lines are cut by two transversals, which are also parallel to each other, as shown in the figure. Which angles are congruent to angle N?
Answer:
this is the correct answer
Step-by-step explanation:
Answer:
:) hope this helps
Step-by-step explanation:
A group of pennies made in 2018 are weighed. The mean is approximately 2.5 grams
with a standard deviation of 0.02 grams.
Interpret the mean and standard deviation in terms of the context.
Answer:
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Step-by-step explanation:
Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.
A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.
The mean weight of all selected pennies is approximately 2.5grams.
The standard deviation of this mean value is 0.02grams.
In this context,
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.
Hence, the weight of each penny in this study, falls within
[2.48grams - 2.52grams]
what is 7/9 of 1 1/14
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
Need help please no dumb answers I gotta turn it in in five min help a girl out please
Answer:
boo just search the formula dud
its A though
.
+ 1687 – 1575 - 287 = 4808
Answer:
Step-by-step explain
Google is key
Melissa is making $28,000 per year. She gets a 4%
increase in pay. What is Melissa's new salary?
Answer:
29120
Step-by-step explanation:
28000 x .04 = 1120
1120 + 28000 = 29120
Pritam bought a laptop at Rs 16583. He has already deposited 13% of the total amount. How much is the amount that he has to pay?
Answer:
He has to pay 14427.21 rupees.
Step-by-step explanation:
1. 13% of 16583 = 2155.79
2. 16583 - 2155.79= 14427.21
3. Has to pay 14,427.21 rupees
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
which is better buy? 4 books for $26 or 6 books for $42
Answer:
4 books for $26
Step-by-step explanation:
To find the better buy, we divide the amount of money spent by the number of books bought. The dividend and divisor with the lesser quotient is the better buy.
26/4 = 6.542/6 = 7Therefore, the better buy is 4 books for $26.
100 students went on a field trip. Six busses were filled and 10 students traveled in
cars with their parents. How many students were on each bus?
Answer:
15 students in each bus.
Step-by-step explanation:
Subtract 10 from 100 and you get 90 then divide 90 by 6 and that gives you how many students in each bus
The standard deviation of returns averages28 percent. The options mature in 5 years and the risk-freerate is 2.36 percent. What is the value of e−Rt?
The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.
So, the correct option is option ( C).
Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.
We have given that,
standard deviation of returns averages = 28%
options mature, t = 5 years and
Risk-free rate , R = 2.36 percent.
we have to calculate the value of e−Rt.
Exp(-Rt) = e⁻⁽²·³⁶⁾⁵
use exp(value) function to find the value :
=exp(-5 × 2.36%)
= exp(- 0.118 )
=0.8886
Hence, the the value of e⁻ᴿᵗ is 0.8886.
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Complete question:
I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?
a) .7087
b) .8476
c) .8886
d) .6087
e) .7952
please answer both questions thanks
Answer:
3. sin(43) = a/17
a = 17sin(43)
= 11.594
≈ 11.6
4. sin(35) = 6/b
b · sin(35) = 6
b = 6/sin(35)
= 10.46
A,B,C,E,F et G sont du plan Simplifier l’écriture de chacun des sommes 1)AB+CE+BC+EF 2) AB+DE+AB+EG 3) AB-BC-AB+BE 4) AB+DE+CD+AD+BC+ED
Giving the rest of my points for this
The line given by the equation
y = (-2/5)x + 2
is graphed above. If the slope of the line is decreased by 1, how is the graph of the line affected?
A.
The line will rise faster as you move from left to right.
B.
The line will fall faster as you move from left to right.
C.
The line will rise slower as you move from left to right.
D.
The line will fall slower as you move from left to right.
Answer:
B. The line will fall faster as you move from left to right.
Step-by-step explanation:
As slope is decreased by 1, its shall fall much more quickly. The green line labels the line \(y = (-\frac{2}{5} x)+2\) and red labels the line \(y = (-\frac{2}{5} x-x)+2\)
As the slope is decreased, the line will fall much more steeply.
Answer:
B. The line will fall faster as you move from left to right.
Step-by-step explanation:
As slope is decreased by 1, its shall fall much more quickly. The green line labels the line \(y = (-\frac{2}{5} x)+2\) and red labels the line \(y = (-\frac{2}{5} x-x)+2\)
As the slope is decreased, the line will fall much more steeply.
Need answer & explanation! Please & thank you!
Answer: the correct is x=1,
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
x=1
Answer:
1
Step-by-step explanation:
you can plug it in and it gives you 3-1 which results in 2 as the question asks for
you enclose a field using sections of fence with lengths of 9, 12, and 15 meters. Estimate the area of the field.
The estimated area of the field enclosed by the fence is approximately 220.5 square meters.
What is the Pythagorean theorem?A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.
We can employ the following strategy to determine how much of the field the fence is enclosing:
Include the lengths of the fence sections in a rough sketch of the field.
Make a straightforward polygon that resembles the field's shape using the fence sections.
To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula (\(A = 1/2 \times base \times height\)). We must identify the triangle's base and height in order to accomplish this.
The Pythagorean theorem can be used to calculate the triangle's height: \(a^2 + b^2 = c^2\)where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to
(a)
\(= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\\)
The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.
When we apply the triangle's area formula, we obtain:
A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.
The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.
If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.
By dividing the width by the length, we obtain:
180 square meters is the size of the remaining part (12 meters times 15 meters).
To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:
Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.
As a result, the field's approximate area inside the barrier is 220.5 square meters.
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monica deposits $100 in a savings account that pays a simple interest rate of 3.4%
By getting simple interest of 3.4% monica total balance in the savings account at the end of the year would be $103.40.
What is simple interest ?
Simple interest is a method of calculating the interest earned on a principal amount of money over a period of time. In simple interest, the interest earned is calculated only on the initial principal amount, and not on any interest that has been earned previously.
The formula for calculating simple interest is:
Interest = Principal x Rate x Time
Where:
Principal is the initial amount of money that is borrowed or depositedRate is the interest rate per year, typically expressed as a percentageTime is the length of time for which the money is borrowed or deposited, typically measured in years.Given by the question:
Assuming that Monica leaves her money in the account for one year, the amount of interest she earns can be calculated as follows:
Interest = $100 x 0.034 x 1
Interest = $3.40
Therefore, Monica would earn $3.40 in interest over the course of one year with a simple interest rate of 3.4%. Her total balance in the savings account at the end of the year would be $103.40.
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What is -9/10 as a fraction
Answer:
its already a fraction I Dunno what you want me to do.
Step-by-step explanation:
anyone helpp me.....
25 pnts.
Domain is the x-intercept(first number) for example if I were told to find the domain in (1,3)(4,7)(8,9) the domain would be 1,4, and 8 because they're the x-factors and then plotting a point, the x-factors come first.
Range is the y-factors(second number) and given an example above, the ranges would be 3,7, and 9 because when plotting, they are the second number.
You can tell if it is a function or not if the X-factors repeat. For example, the first one is NOT a function because the 2 repeats for the x-factor. Number 2 IS a function because the x-factor doesn't repeat.
Sorry if this doesn't make sense, that's the best way I can explain!
ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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playstation or xbox be smart
Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.
I have played both btw
Any arguments in the comment section
Answer:
Depends
Step-by-step explanation:
If you want better exclusives get a playstation.
UI the playstation UI is better because it is simple.
Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.
Why is it important to know where formulas come from?
to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols
Answer:
to be able to derive the formula if needed
Step-by-step explanation:
as you gain more class grades they sometimes ask you the origin of a certain formula that's why