two interior angles of a triangle each measure 34 degrees. What is the measure of the third interior angle
Answers
Answer:
112
Step-by-step explanation:
Triangle is 180degrees,
2 interior is 34 +34=68degrees
To Find the third interior 180-68=112 degrees
Related Questions
Classement pays médaille d'or de cyclisme moyennes 70 %pays...
Answers
Answer:
Classement pays médaille d'or de cyclisme moyennes 70 %paga...
Step-by-step explanation:
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
Answers
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Which of the following is a rational number? A.102 B.144 C.21 D.29
Answers
Answer:
I'm pretty sure they're all rational numbers since they're all whole numbers.
12(-2/3k + 6) + 4k please help me ad tell me the answer to dis
Answers
Answer:
-4k+72
Step-by-step explanation:
To simpliy this, you first use the distributive property. 12 times -2/3k is -8k and 6 times 12 is 72. This gives -8k+72+4k. This gives -4k+72. You cant simplify this any further
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.
\((2x-3y)^5\)
Answers
The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]
Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵
Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y
Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²
Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³
Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴
Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵
Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)
Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
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Find three consecutive integers such that the sum of the first two is three times the third.
Answers
Answer:
-3, -4, -5
Step-by-step explanation:
x = 1st integer
x+1 = 2nd integer
x+2 = 3rd integer
x+x+1 = 3(x+2)
2x + 1 = 3x + 6
1 = x + 6
-5 = x
-4 = x+1
-3 = x+2
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answers
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
Answers
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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Evaluate the function over the domain {-2, -1, 0, 1, 2, 3). As the values of the domain increase, do the values of the range increase or decrease? y = 1.3* When x = -2, y= (Type an integer or decimal rounded to the nearest hundredth as needed.)
Answers
The function over the domain {-2, -1, 0, 1, 2, 3). As the values of the domain increase, do the values of the range increase.
Type an integer or decimal rounded to the nearest hundredth as needed is 0.23.
I. y=2.1
2.1>1[y=\(a^{x}\)if a>1 the function is increasing on the domain]
The function over the domain {-2, -1, 0, 1, 2, 3). As the values of the domain increase, do the values of the range increase.
ii. x=-2
y=\(2.1^{-2}\)
=\(\frac{1}{2.1^{2} }\)
=1/4.41=0.2267... Approx=0.23 (the nearest hundredth )
The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
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A shirt is originally priced at $24.50. The shirt goes on sale for 30% off the original price. How much money, in dollars to the nearest cent, does the shirt cost including 7% tax on the sale price?
Answers
The shirt costs $18.35, to the nearest cent, including the 30% discount and 7% tax on the sale price.
To calculate the final cost of the shirt including the discount and tax, we can follow these steps:
Step 1: Calculate the discount amount
Discount Amount = Original Price * Discount Rate
= $24.50 * 0.30
= $7.35
Step 2: Calculate the sale price
Sale Price = Original Price - Discount Amount
= $24.50 - $7.35
= $17.15
Step 3: Calculate the tax amount
Tax Amount = Sale Price * Tax Rate
= $17.15 * 0.07
= $1.20
Step 4: Calculate the final cost
Final Cost = Sale Price + Tax Amount
= $17.15 + $1.20
= $18.35
The shirt costs $18.35, to the nearest cent, including the 30% discount and 7% tax on the sale price.
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I’ll mark brainliest!!!! What is the length of BC in the right triangle below?
A. 63
В. 3
С. 21
D. -/63
E. 15
Е 225
Answers
Answer:
E. 15
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
9²+ 12²= c² (This is the info we have so far.)81 + 144 = c² (Simplify. 9² = 81 ; 12² = 144)
225 = c² (Added 81 + 144 = 225)√225 = 15 (Square root of 225 is 15.)
Answer:
Step-by-step explanation:
15
What is the position of A on the number line below?
Write your answer as a fraction or mixed number.
Answers
The position of A on the number line is
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.
As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.
Between 0 and 1 there are 5 lines, these means that each line will be 4/5
If 1 line is 4/5 , therefore ;
4 lines will be 4 × 4/5
= 16/5 = 3 1/2
Therefore the position of A on the number line is 3 1/2
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36=12d is a proportional or Non-proportional? Explain
Answers
Answer:
non-proportional
Step-by-step explanation:
This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:
y = 5x
Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"
36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.
proportional:
"corresponding in size, degree or intensity"
"having the same or a constant ratio"
(the / is a fraction bar)
Kati has 2/3 of a bag of frozen fruit. She used 1/4 of the fruit to make smoothies. Which equation represents the amount of fruit Kati used to make smoothies?
A. 1/4 + 2/3 = 11/2 of a bag
B. 2/3 - 1/4 = 5/12 of a bag
C. 1/4 x 2/3 = 1/6 of a bag
D. 1/4 ÷ 2/3 = 3/8 of a bag
Answers
Answer:
bbbbbbbbbbbbbbbb
im a math god
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2x+10= 5x-17 hurry is for a test
Answers
Explanation
Answer:
X is 9
Step-by-step explanation:
3.Solve the system of equations by forming a matrix equation. Solve by multiplying each side of the system of equations by the inverse matrix. Show computation of the inverse matrix by showing the calculation of the determinant. State your answer as an ordered pair. x+5 = - 14-2x-5y = 23
Answers
SOLUTION
We want to solve the simultaneous equation
\(\begin{gathered} x+5=-14 \\ -2x-5y=23 \end{gathered}\)We will rearrage this to become
\(\begin{gathered} x+0y=-19 \\ -2x-5y=23 \end{gathered}\)Writing this as a matrix equation, we get
\(\begin{bmatrix}{1} & {0} & {} \\ {-2} & {-5} & \end{bmatrix}\begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix}=\begin{bmatrix}{-19} & {} \\ {23} & \end{bmatrix}\)From the above matrix equation we will take
\(\begin{gathered} A=\begin{bmatrix}{1} & {0} & {} \\ {-2} & {-5} & \end{bmatrix} \\ B=\begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix} \\ C=\begin{bmatrix}{-19} & {} \\ {23} & \end{bmatrix} \end{gathered}\)So, this means that
\(\begin{gathered} A\times B=C \\ AB=C \\ B=\frac{C}{A} \\ B=C\times A^{-1} \\ B=CA^{-1} \end{gathered}\)Now, we have to find the inverse matrix, which is
\(A^{-1}\)This is given as
\(\begin{gathered} A^{-1}=\frac{1}{|A|}\times Adj\text{ A} \\ A^{-1}=\frac{1}{ad-bc}\times\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & \end{bmatrix} \end{gathered}\)So, if we have
\(\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & \end{bmatrix}=\begin{bmatrix}{1} & {0} & {} \\ {-2} & {-5} & \end{bmatrix}\)Then
\(\begin{gathered} A^{-1}=\frac{1}{ad-bc}\times\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & \end{bmatrix} \\ A^{-1}=\frac{1}{1(-5)-0(-2)}\times\begin{bmatrix}{-5} & {0} & {} \\ {2} & {1} & \end{bmatrix} \\ A^{-1}=\frac{1}{-5}\begin{bmatrix}{-5} & {0} & {} \\ {2} & {1} & \end{bmatrix} \end{gathered}\)Hence, the inverse matrix is
\(A^{-1}=\frac{1}{-5}\begin{bmatrix}{-5} & {0} & {} \\ {2} & {1} & \end{bmatrix}\)Now, from
\(B=CA^{-1}\)We will have
\(\begin{gathered} \begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix}=\frac{1}{-5}\begin{bmatrix}{-5} & {0} & {} \\ {2} & {1} & \end{bmatrix}\begin{bmatrix}{-19} & {} \\ {23} & \end{bmatrix} \\ \begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix}=\frac{1}{-5}\begin{bmatrix}{95} & {} \\ {-38+23} & \end{bmatrix} \\ \begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix}=\frac{1}{-5}\begin{bmatrix}{95} & {} \\ {-15} & \end{bmatrix} \\ \begin{bmatrix}{x} & {} \\ {y} & \end{bmatrix}=\begin{bmatrix}{-19} & {} \\ {3} & \end{bmatrix} \end{gathered}\)Hence from the matrix,
x = -19 and y = 3
if jill bought 3 candy bars for 2.40 how much was each candy bar
Answers
To find the answer to the question, divide the amount paid for the bars by the number of bars bought, this way:
\(\frac{2.40}{3}=0.80\)Each bar was $0.80
What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...
Answers
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
You 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
Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
Answers
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
Is the relation shown in the table below a function? (type in yes or no)
Answers
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.
Question 5 (5 points)
image
What's the range of this function graph?
Question 5 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
Answers
9514 1404 393
Answer:
B) [2,∞)
Step-by-step explanation:
The range is the vertical extent of the graph. Here, the minimum is 2, and it goes up from there. The range is ...
[2, ∞)
Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2 Please select the best answer from the choices provided A B C D
Answers
Answer: A. m=2;y-int=(0,4);y=2x+4
Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear.
-8/9 + (-2)/57
find the absolute value of the following rational number
Answers
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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what is the answer 3x+15=8x
Answers
Answer:
3x +15 = 8x
5x = 15
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Move the Terms:
3x = 8x - 15
3x - 8x = -15
Collcect Terms.
-5x = -15
Divide:
3
Answer
x = 3
Hope this helped
Brainliest is appreciated
Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?
Answers
Answer:
3
Step-by-step explanation:
3/4 divided by 1/4 equals 3
Answer:
3
Step-by-step explanation:
3/4 is currently left
Subtract 1/4 by 3/4 until nothing is left
The number you get is 3 therefore the answer is 3
-3x + 6 = 4 - 6x
I kept getting 1.5 But it's not correct. ???
Answers
Answer:
-2/3 or -0.6666
Step-by-step explanation:
-3x + 6 = 4 -6x
Let's move the x to one side
-3x +6x=4-6
Combine like terms
3x = -2
Divide both sides by 3
-2/3=x
or -0.666666
BOOMMMMMMMMMMMM
YOU ALREADY KNOW WHAT IMA BOUT TO DO
FREE BRAINLIEST
Answers
Answer:
helllo tyyyyyyyyyyyyy
Answer:
LovelyPeaches on the track
This beat burnin' and itchin'
Don't leave me 'round yo man 'cause yo dude gonna go missing
Travel all around the world, yes I'm on a mission
He say it burn when he be p*ssing
I'm completing my mission
So much I wanna say I just can't make it rhyme
That n*gga breath stank so I let him hit it from behind
Step-by-step explanation:
Determine the angle A in the picture below:
A
B
C
D
Answers
Answer:
The answer is B
Step-by-step explanation:
This is a right triangle and a triangles angles can only add up to 108 degrees. In addition the angle is very small as it looks showing it must be one of the smallest answers aka, B.
It says if Jamal rides his bike to school and back home. It is two miles each way. How many miles does he ride in five days?
Answers
Answer:
20 miles
Step-by-step explanation:
If it is two miles each way, then he rides a total of 4 miles every day.
Multiply 4 by 5
4 x 5 = 20
20 miles
Answer:
20 miles
Step-by-step explanation:
he always goes to school and comes back, to that means each day where he goes to school he rides 4 miles each time.
if he does this for 5 days you can write the following:
4*5 = 20 or if you haven't learned multiplication you can think of it like this:
4+4+4+4+4= 20