Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = square root 6x
Answers
To use upper and lower sums to approximate the area of the region under the curve y = √6x, we need to divide the interval of integration into a certain number of subintervals of equal width.
Let's say that we want to divide the interval [a, b] into n subintervals of equal width. We can then define the points x0, x1, ..., xn as follows:
x0 = a
x1 = a + (b - a)/n
x2 = a + 2(b - a)/n
...
xn = b
The width of each subinterval is (b - a)/n.
We can then use these points to define the upper sum and lower sum as follows:
Upper sum = ∑ (b - a)/n * max(f(x))
Lower sum = ∑ (b - a)/n * min(f(x))
where the sum is taken over all subintervals, and max(f(x)) and min(f(x)) represent the maximum and minimum values of the function f(x) on each subinterval, respectively.
To calculate the upper and lower sums, we need to evaluate the function f(x) at each of the points x0, x1, ..., xn. For example, if we want to calculate the upper sum using 4 subintervals, we would evaluate the function at the points x0, x1, x2, and x3, and then use these values to calculate the upper sum using the formula above.
Once we have calculated the upper and lower sums, we can use them to approximate the area of the region under the curve. The area of the region is approximately equal to the average of the upper and lower sums.
For example, if the upper sum is 1.5 and the lower sum is 0.5, then the area of the region is approximately (1.5 + 0.5)/2 = 1.
In general, as we increase the number of subintervals, the upper and lower sums will get closer and closer to the actual area of the region, and the approximation will become more accurate.
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Related Questions
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th graders and 7th graders spend watching television each week. What are the mean and median?
The 5th-grade mean is
.
The 7th-grade mean is
.
The 5th-grade median is
.
The 7th-grade median is
.
Answers
Answer:
5th grade mean - 4.67
7th grade mean - 3.46
5th-grade median - 5
7th-grade median - 3.5
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Answers
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
How many meters of binding are required to bind the edge of a rectangular quilt that measures 5 m by 7 m?
Answers
Answer: 24
Step-by-step explanation: To find the perimeter, add all of the sides. 5+5=10 and 7+7=14. 10+14=24.
Answer:
24 m of binding required===============
GivenDimensions of rectangle 5 m and 7 m.Find its perimeterP = 2(l + w)P = 2(5 + 7) = 2(12) = 24 mYou want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answers
Answer:
Thanks
Step-by-step explanation:
Thanks
Iris has 120 songs on her playlist. Each week, she downloads 4 new songs. How do I write an expression to show the total number of songs on Iris's playlist after w weeks
Answers
The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.
We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -
y = 120 + 4w
Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.
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Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the cardhad a star on it.The two-way frequency table below shows data on guess and true status of the cards the friends drew.Complete the following two-way table of column relative frequencies.(If necessary, round your answers to the nearest hundredth.)Kamden guessed a starKamden guessed not a starCard had a star42Card didn't have a star1752Kamden guessed a starKamden guessed not a starCard had a starCard didn't have a starColumn total1.001.00
Answers
In the first column, we have 5 total events. In the second column we have 754 total events.
Then, we get
Someone help me please and thank you
Answers
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
which of the following piecewise graphs is not a function
Answers
Answer:
The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Answers
Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
what is inequality ?
An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."
So, the inequality would be:
Temperature < 8 degrees Fahrenheit
Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.
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There is a dice game at the casino that costs $3 to play. A player rolls two dice. If the player gets a sum of 2 or 12 he or she gets back $ 28 (wins $25). the person gets a 7he or she gets back $5 (wins $2). If the player rolls anything other than a 2, 12 or 7 he or she gets nothing back (loses $3). Find the expected value for the player?
Answers
Answer:
The expected value for the player is -$0.63.
Step-by-step explanation:
The dice game has the following rules:
The game costs $3 to play. A player rolls two dice. If the player gets a sum of 2 or 12 he or she gets back $ 28 (wins $25). If the person gets a 7 he or she gets back $5 (wins $2). If the player rolls anything other than a 2, 12 or 7 he or she gets nothing back (loses $3).The outcomes for a sum of 2 or 12 are: {(1, 1) and (6, 6)}
The probability of a sum of 2 or 12 is: 2/36 = 0.055.
The outcomes for a sum of 7 is: {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)}
The probability of a sum of 7 is: 6/36 = 0.167.
The probability of a sum other than 2, 12 or 7 is: 1 - 8/36 = 0.778
The probability distribution is:
Result X P (X)
Sum 2 or 12 $25 0.055
Sum 7 $2 0.167
Others -$3 0.778
Total 1.000
Compute the expected value as follows:
\(E(X)=\sum x\cdot P(x)\\\\\)
\(=(25\times 0.055)+(2\times 0.167)+(-3\times 0.778)\\\\=1.375+0.334-2.334\\\\=-0.625\\\\\approx -0.63\)
Thus, the expected value for the player is -$0.63.
You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusiv
Answers
Answer:
If something is guaranteed, it has a probability of 100%, or 1.
Step-by-step explanation:
A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)
Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.
What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.
So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled
The probability of getting a red card is 1.
No matter how you shuffle the cards, the no of cards will remain the same.
Therefore, it will not affect the probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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The cholesterol readings for people over seventy are said to be normally distributed with a mean of 215 and a standard deviation of 15.What percentage of this population would have readings less than 170? (Convert the answer to percentage value).
Answers
The percentage of this population that would have readings less than 170 is 0.13%.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
The z score is given by:
z = (raw score - mean) / standard deviation
Given mean of 215 and a standard deviation of 15.
For readings less than 170:
z = (170 - 215)/15 = -3
P(x < 170) = P(z < -3) = 0.0013 = 0.13%
The percentage of this population that would have readings less than 170 is 0.13%.
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Which graph represents 12 = 3x + 4y line a, line b, line c
Answers
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
amara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes 180 times?
Answers
Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.
To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.
Let's examine the chart and count the number of times each sum occurs:
Sum: 2, Occurrences: 1
Sum: 3, Occurrences: 2
Sum: 4, Occurrences: 3
Sum: 5, Occurrences: 4
Sum: 6, Occurrences: 5
Sum: 7, Occurrences: 6
Sum: 8, Occurrences: 5
Sum: 9, Occurrences: 4
Sum: 10, Occurrences: 3
Sum: 11, Occurrences: 2
Sum: 12, Occurrences: 1
Now, let's calculate the probabilities of each sum occurring.
Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:
Probability of sum 2 = 1/36
Probability of sum 3 = 2/36
Probability of sum 4 = 3/36
Probability of sum 5 = 4/36
Probability of sum 6 = 5/36
Probability of sum 7 = 6/36
Probability of sum 8 = 5/36
Probability of sum 9 = 4/36
Probability of sum 10 = 3/36
Probability of sum 11 = 2/36
Probability of sum 12 = 1/36
To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.
For example, to find the expected number of times the sum is 7:
Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30
Similarly, we can calculate the expected occurrences for all other sums.
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If the sum of a number and four is tripled the result is eight less than twice the number
Answers
Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
Answer:
- 20
Step-by-step explanation:
if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8
x = -20
The total monthly charges, $C, for a mobile plan consist of a fixed amount of $ 120 and a variable amount which depends on the usage. For every minute used, $0.20 is charged.
(i) If the duration of usage is 120 minutes, calculate the total monthly charges for the mobile plan
(ii) If the total monthly charges for the mobile plan are $50, find the duration of usage.
(iii) Write down a formula connecting C and n, where n is the number of minutes of usage.
Answers
i) If the duration of usage is 120 minutes, the total monthly charges for the mobile plan are $44.
ii) If the total monthly charges for the mobile plan are $50, the duration of usage is 150 minutes.
iii) A formula, equation, or function connecting C, the total monthly charges, and n, the number of minutes of usage is C = 20 + 0.20n.
What is an equation?An equation is a mathematical statement defining that two or more mathematical expressions are equal or equivalent.
Equations use the equation symbol (=) to show equality.
Fixed cost per month = $20
Variable cost per minute = $0.20
i) Total minutes used = 120 minutes
Total cost, C = 20 + 0.20(120)
= $44
ii) Total monthly charges = $50
Duration of minutes = 150 (50 - 20 ÷ 0.20)
iii) Formula connecting C and n:
Total cost, C = 20 + 0.20n.
Thus, using the equation or formula of the total monthly charges C = 20 + 0.20n, we can determine the duration or the total costs, given any variable.
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slope intercept form for (3,3) and (2,4)with work please I'm trying understand how to do it on my own
Answers
P1 = (3,3)
P2 = (2, 4)
x1 = 3 y1 = 3 x2 = 2 y2 = 4
1.- Find the slope
2.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 3 = -1(x - 3)
Simplification
y - 3 = -x + 3
y = -x + 3 + 3
Result
y = -x + 6
The equatin of the line is y = -x + 6
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answers
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
What is the number of possible permutations of 5 objects taken 2 at a time? A. 10 B. 20 C. 60 D. 120
Answers
Answer:
B. 20
Step-by-step explanation:
5P2 is equal to 20 using the permutation formula.
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $22. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $25. Find the cost for each pound of trail mix and each pound of jelly beans.
Answers
Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50
How to find the cost of each?Let's define the variables:
x = cost of a pound of trail mix.y = cost of a pound of jelly beans.Then we can write a system of equations so we will get:
5x + 3y = 22
2x + 12y = 25
To solve this, we can subtract 4 times the first equation fom the second one:
2x + 12y - 4(5x + 3y) = 25 - 4*22
2x + 12y - 20x - 12y = -63
-18x = -63
x = -63/-18
x = 3.5
That is the cost of each pound of trail mix, and replacing that in one of the equations:
2*3.5 + 12y = 25
y = (25 - 2*3.5)/12
y = 1.5
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Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining
Answers
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
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(URGENT)!!!!!!!
Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers
Answers
Answer:
Step-by-step explanation:
One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.
One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence
Can someone check if it’s correct also help me with the last one
Thanks
Answers
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
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Which function has least rate of change?
O y = 4x + 5
O 3x - y = 9
O x + y = 8
0 4x + 2y = 8
Answers
Answer:
O 4x+2y=8.
Hope this helps you
Find the product
3(z+4)(x-5)
Answers
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3 of the remaining cookies, and when Carla came home, she ate 1/2 of the cookies on the plate. When their mother came home, there were 5 cookies on the plate. How many did each child eat?
Answers
Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left
5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5
Frame calculation process in your words but the final answer is each child ate 5 cookies.
what is the slope?
(2, -3)
(3, 3)
Answers
Answer:
6
Step-by-step explanation:
m=6
A projectile is launched from the ground with an initial speed of 220 ft/sec at an angle of 60° with the horizontal.
What is the height of the projectile after 4 seconds?
How long is the projectile in the air?
What is the horizontal distance traveled by the projectile?
What is the maximum height of the projectile?
Answers
The height of the projectile after 4 seconds is 421.28 ft.
The projectile is in the air for 8.015 seconds.
The horizontal distance traveled by the projectile is 881.77 ft.
The maximum height of the projectile is 464.1 ft.
To solve this problem, we can use the kinematic equations of motion for a projectile.
Let's assume that the initial height of the projectile is zero.
What is the height of the projectile after 4 seconds:
We can use the equation:
\(y = yo + vot + 1/2at^2\)
where
y = height of the projectile
yo = initial height (zero in this case)
vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec
a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)
t = time = 4 sec
Plugging in the values, we get:
\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)
Therefore, the height of the projectile after 4 seconds is 421.28 ft.
Long is the projectile in the air:
The time of flight of a projectile can be calculated using the equation:
t = 2vo sinθ / g
where θ is the launch angle and g is the acceleration due to gravity.
Plugging in the values, we get:
t = 2(220 sin(60°)) / 32.2 = 8.015 sec
Therefore, the projectile is in the air for 8.015 seconds.
Horizontal distance traveled by the projectile:
The horizontal distance traveled by the projectile can be calculated using the equation:
\(x = xo + vot + 1/2at^2\)
where
x = horizontal distance traveled
xo = initial horizontal position (zero in this case)
vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec
a = acceleration due to gravity (zero in the horizontal direction)
t = time = 8.015 sec
Plugging in the values, we get:
\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)
Therefore, the horizontal distance traveled by the projectile is 881.77 ft.
Maximum height of the projectile:
The maximum height of a projectile can be calculated using the equation:
\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)
Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)
Therefore, the maximum height of the projectile is 464.1 ft.
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An isosceles triangle has an angle that measures 136°. What measures are possible for the other two angles? Choose all that apply.
Answers
Answer:
The other two angles are 22° , 22°
Step-by-step explanation:
To find the other angles, we can use angle sum property of triangle.
The given angle 136° cannot be base angles. Let the base angles be x.
x + x + 136 = 180°
2x + 136 = 180°
Subtract 136 from both sides,
2x = 180 - 136
2x = 44°
Divide both sides by 2,
x = 44 ÷ 2
\(\sf \boxed{x = 22^\circ}\)
Answer:42
Step-by-step explanation:
just add