Answer:
14 / (cos 45)
Step-by-step explanation:
cos 45 = 14/x
x = 14/( cos 45)
which statement is true about rectangles.A.the sides in a rectangle are not parallel.B.the opposite sides in a rectangle are equal. I think B.
Given data:
In a rectangle the opposite sides are always parallel and equal.
John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.
A pie uses 4 cups of apples and 3 cups of flour.
A cobbler uses 2 cups of apples and 3 cups of flour.
John has 16 cups of apples and 15 cups of flour.
When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.
Let x = the number of pies John makes.
Let y = the number of cobblers John makes.
Enter the four constraints into the graphing calculator.
What are the vertices of the feasible region?
Hint: input your answers from questions 3, 4, and 5 into Desmos to find the vertices.
Answers from questions 3, 4, and 5
\(4x+2y≤16\\3x+3y≤15\\x≥0\\y≤0\)
Answer:huh,
Step-by-step explanation:I don’t understand you’re saying
-5(13d+ 11) how can i simplify this?
Answer:
-65d - 55
Step-by-step explanation:
Given expression,
→ -5(13d + 11)
Simplifying the expression,
→ -5(13d + 11)
→ (-5 × 13d) + (-5 × 11)
→ -65d + (-55)
→ -65d - 55
Thus, answer is -65d - 55.
Kelly earns a weekly salary of $300 plus 20% commissions of her sales. Complete the table and graph the function representing Y, Kelly’s total weekly pay as a function of X, the amount of sales Kelly made in a week.
Kelly’s total weekly pay as a function of x, the amount of sales Kelly made in a week is f(x) = 0.2x + 300.
The weekly pay consists of two terms: the $300 and the 20% commission. These two terms are added together to give the total weekly pay [f(x)].
The weekly sales are given by x, which is a variable that can change every week. We need to find 20% of these sales. This will be 20% multiplied by x.
First, we will convert 20% to a fraction, then decimal:
20 % = 20 / 100 = 0.20
Now, multiply it by x to get the commission term that is 0.2 x.
Now, add the two terms together to get the linear function, we will get;
f(x) = 0.2x + 300
Thus, Kelly’s total weekly pay as a function of x, the amount of sales Kelly made in a week is f(x) = 0.2x + 300.
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Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
The radius of a circle is 1. What is the measure, in radians, of the angle subtended by an arc 13 18 long?
The measure of the arc 13cm long with a radius = 1 is 13rad
What is an arc of a circle?The arc of a circle is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle. If the length of an arc is exactly half of the circle, it is known as a semicircular arc.
Length of an arc = ∅/360 x 2πr
where ∅ = subtended angle in degree
r = 1 = radius of the complete circle
length = 13
13 = ∅ /360 x 2 x π x 1
but 2π rad = 360 degrees
substitute 2π rad for 360 into the equation
13 = ∅/2π rad x 2 x π x 1
By cross multiplying
∅ = 13 x 2π rad / 2 x π
∅ = 13 rad
In conclusion, the angle subtended by the arc in radians is 13 rad.
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One reason that an insect can walk on walls while a
human cannot is that the mass of its tiny body is far
lower than humans.
(A) far lower than humans
(B) far lower than that of a human’s body
(C) lower by far than humans
(D) far lower than a human
(E) far lower than is a human’s body
The correct option is B) far lower than that of a human’s body
One reason that an insect can walk on walls while a human cannot is that the mass of its tiny body is far lower than that of a human’s body.
What is an adverbial clause of comparison?Adverbial comparison clauses of style Adverb clauses of degree comparison are prefaced with either the relative adverb as or the subordinating conjunction than. The verb of the adverb clause of degree comparison is typically not expressed.
Here, merely mentioning "humans" is insufficient because it is not apparent which aspect we are referring to. When we say "human body," it is best to say "that of a" rather than just "human body." Only B fixes these mistakes without introducing new ones.
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Change the percent to a fraction:10%
Answer:
1/10
Step-by-step explanation:
10/100= 10%
What is the solution for n over 7 space plus space 12 space equals space 58
Answer:
n = 322
Step-by-step explanation:
n/7 + 12 = 58
Subtract 12 from each side
n/7 = 58-12
n/7 = 46
Multiply each side by 7
n= 46*7
n = 322
A student factors a^6-64 to (a^2-4)(a^4+4a^2+16) is correct
Answer:
yes
Step-by-step explanation:
hope this helps
how much is 453 million?
Hello!
453 millions
= 453 000 000
What is the mean of 1234567?.
The mean of the 1234567 numbers is 4.
What is mean?
A amount that includes a price intermediate between those of the acute members of some set is known as mean.
Main body:
In this question we have to find the mean of the first 7 numbers. Whole numbers are all non-negative integers which start from 0. Now the mean of the first 7 numbers will be the mean of numbers from 1 to 7, as the count of numbers from 1-7 is 7. Use this concept to reach the answer.
Mean of numbers is equal to the sum of the numbers divided by the count of the numbers that is
Mean = sum of numbers/ total numbers …………………….. (1)
To find the mean of the 1234567 , we will find the sum of numbers from 1 to 7 as 1-7 are the first 7 numbers.
So, the sum of the digits is 1+2+3+4+5+6+7 = 28
total numbers = 7
mean = 28/7 = 4
Hence mean of 1234567 is 4.
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when the expression $4(x^2-2x 2)-7(x^3-3x 1)$ is fully simplified, what is the sum of the squares of the coefficients of the terms?
To simplify the expression $4(x^2-2x+2)-7(x^3-3x+1)$, we need to distribute the coefficients and combine like terms.
First, let's simplify the terms within the parentheses:
$x^2-2x+2$ remains unchanged, and $x^3-3x+1$ remains unchanged.
Now, let's distribute the coefficients:
$4(x^2-2x+2)$ becomes $4x^2-8x+8$,
and $-7(x^3-3x+1)$ becomes $-7x^3+21x-7$.
Next, let's combine like terms:
The expression becomes $4x^2-8x+8-7x^3+21x-7$.
Finally, let's rearrange the terms in descending order of exponents:
The simplified expression is $-7x^3+4x^2+13x+1$.
To find the sum of the squares of the coefficients, we square each coefficient and add them up:
$(-7)^2 + 4^2 + 13^2 + 1^2 = 49 + 16 + 169 + 1 = 235$.
Therefore, the sum of the squares of the coefficients of the terms in the simplified expression is 235.
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Pls I need help for Mid terms
Answer:
3x at the power of 2 -2x+21
ask for explanation if needed
Find the measure of ∠2.
a. 32
b. 64
c. 116
d. 90
Answer:
angle 2 =90 because it is a right angle
Find the slope and the y-intercept of the line.
y=-5/4x+5
Answer:
Slope: -5/4
y-intercept: 5
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Theres a trapezoid problem.
The solution for the trapezoid with median is:
1. If MY || LE, then MY || IK
2. MY = 52 cm
3. MY = 109 cm
4. IK = 10 cm
5. LE = 45 cm
How to solve trapezoid with median?The trapezoid mid-segment or median theorem states that "a line connecting the midpoints of the non-parallel sides (legs) is parallel to the bases". It measures half the sum of lengths of the bases. That is:
m = 1/2 (b₁ + b₂)
where b₁ and b₂ are the bases of the trapezoid.
No. 1
Since the midpoints of the non-parallel sides (legs) is parallel to the bases. Thus:
If MY || LE, then MY || IK
Note: || means parallel
No. 2
In this case, the midpoint is MY. IK and LE are the bases. Thus:
MY = 1/2 * (IK + LE)
MY = 1/2 * (56 + 48)
MY = 52 cm
No. 3
MY = 1/2 * (142 + 76)
MY = 109 cm
No. 4
45.7 = 1/2 * (IK + 85)
45.7 * 2 = IK + 85
95 = IK + 85
IK = 95 - 85
IK = 10 cm
No. 5
37.5 = 1/2 * (120 + LE)
37.5 * 2 = 120 + LE
75 = 120 + LE
LE = 120 - 75
LE = 45 cm
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nfl quarterbacks throw an average of 200 passingyards per game. during the 2014 season, tony romo threw an average of 158 passing yards per game. does tony romo's average vary from the typical nfl quarterback average?
Yes , Tony Romo's average passing yards per game of 158 does vary from the typical NFL quarterback average of 200 passing yards per game.
In fact, Romo's average passing yards per game is significantly lower than the league average. This could be due to a variety of factors such as his team's offensive strategy, the quality of his offensive line, his own skill level and ability, and the overall performance of his team.
It is important to note that while Romo's average is lower than the league average, it does not necessarily mean that he is a less skilled quarterback than others in the league. It is also worth considering other statistics and factors when evaluating a quarterback's performance, such as completion percentage, touchdown to interception ratio, and overall win-loss record.
Ultimately, while Romo's average passing yards per game may vary from the typical NFL quarterback average, it is important to look at a range of factors in order to accurately evaluate his performance and skill level.
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How do you find hypotenuse?
The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem, \(hypotenuse^2=base^2+perpendicular^2\)
The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.
The hypotenuse theorem is defined by Pythagoras' theorem, According to this theorem, the square of the hypotenuse side of a right-angled triangle is equal to the sum of squares of the base and perpendicular of the same triangle, such that;
Hypotenuse2 = Base2 + Perpendicular2
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The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length.
A photo of the Burj Kalifa building in Dubai, United Arab Emirates is shown. The caption reads the Burj Kalifa is one of the tallest buildings in the world. The bracket from the ground to the top of the building is labeled two thousand seven hundred twenty-two feet.
Approximately how many football fields tall is the Burj Khalifa building? Round to the nearest tenth.
Answer:
7.6
Step-by-step explanation:
You want to know the number of 360 ft football fields tall the 2722 ft Burj Khalifa building is.
Football fieldsThe ratio of height to football field length is ...
(2722 ft)/(360 ft/field) ≈ 7.6 fields
The height of the building is about 7.6 football field lengths.
For the estimated regression equation below, what is the correct interpretation of the Standard Error? Note, income is measured in thousands of dollars ($1,000) and age and experience are measured in years. Income = 1,200 + 2.8(Age) + 3.2(Experience), Se 5.750 and R2 =0.1553 On average, our predictions of income off by an average of $5.75 from this model. On average, our predictions of income off by an average of $5,750 from this model. We are 15.53% of the way towards perfectly predicting income using age and experience. We are 15.53% away from perfectly predicting income using age and experience. On average, our predictions of income off by an average of 5.750% from this model.
For the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model."
For the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model.
Standard Error is a statistical term that measures the variability of the regression line's actual values from the predicted values.
It depicts the degree of dispersion of observed data points around the regression line, indicating the model's accuracy. It is an estimate of the standard deviation of the sampling distribution of the regression coefficients and is usually given as a unit of measurement for the standard deviation of a specific statistic.
Therefore, for the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model."
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You want to buy DVDs and are searching for the best price. You found two stores having sales on DVDS. Which is the one that offers the best percentage off? Then explain your reasoning.
Store 1 - Buy 2 for the price of one!
Store 2 - Buy 3 for the price of two!
Answer:
Store 1 Has a better deal as your paying 1.50 less which is 50 percent off
Step-by-step explanation:
Lets say a DVD costs 1.50
so if you bought 2 for the price of one it would be 1.50
3 for the price of 2 would be 3 dollars.
If you were to buy 2 CDS for the Price of 2 that would be 3 Dollars
3 CDS for the price of 3 would be 4.50
The Amount of money depends on the cost of 1 CD.
Store 1 has a 50 percent discount while Store 2 has roughly a 35 percent discount.
sorry if this was confusing^^
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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What is the slope for (0,-8) (7,13)
Answer:
The slope is 3
Step-by-step explanation:
Y1-Y2/X1-X2
13--8=21
7-0=7
21/7
3
A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The number of shoppers for the fourth day is 216.
How many shoppers were at the mall in total for the four days?
Answer:
234
Step-by-step explanation:
a triangle has side lengths in the ratio is inscribed in a circle with radius . what is the circumference of the triangle?
Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.
To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.
Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:
x + kx + lx = 2r
Simplifying this equation, we get:
x(1 + k + l) = 2r
So, we have:
x = (2r)/(1 + k + l)
y = kx = k(2r)/(1 + k + l)
z = lx = l(2r)/(1 + k + l)
The circumference of the triangle is the sum of its three sides:
C = x + y + z
Substituting the expressions for x, y, and z, we get:
C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)
Simplifying this expression, we get:
C = (2r(1 + k + l))/(1 + k + l)
C = 2r
Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.
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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.
Let the lengths of the triangle be, 3x,4x,5x
Square of largest side = \(25x^{2}\)
Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)
It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.
The circumference of a right-angled triangle has a diameter equal to its hypotenuse.
hence, 5x=6 or x= \(\frac{6}{5}\)
Now, two perpendicular sides are then, \(\frac{18 }{5} , \frac{24}{5}\)
\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)
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Question
A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to
A. 8.64
B. 12
C. 6
D. 10.5
Number 2 I need help on how to solve it
Step-by-step explanation:
look at the picture .....
If a high school football team looses 7 yards on 2 consecutive days, then has gained of 3 yards, how far will the ball be from the starting line of scrimmage?
NEED TO HAVE THIS DUE TONIGHT!!!
Ryan's friends have organized a treasure hunt. He is using the map below to find the clues. The position of the last clue, which
leads to the treasure, is located at point (-2,4).
6
+
2
2
-2
He figures that the treasure is 3 units either to the east or south of the location of the last clue. Which of these could be the
location of the treasure?
OA. point (1, 4) or point (-2, 1)
OB. point (-5, 4) or point (-2, 1)
OC. point (1, 1) or point (-5,7)
OD. point (1, 4) or point (-2,7)
Using translation concepts, it is found that the location of the treasure could be given by these following points:
A. point (1, 4) or point (-2, 1)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
We consider that he is at point (-2,4), hence:
A shift east 3 units leads to point (1,4).A shift south 3 units leads to point (-2,1).Hence option A is correct.
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Gerhan Company's flexible budget for the units manufactured in May shows $15,640 of total factory overhead; this output level represents 70% of available capacity. During May, the company applied overhead to production at the rate of $3.00 per direct labor hour (DLH), based on a denominator volume level of 6,120 DLHs, which represents 90% of available capacity. The company used 5,000 DLHs and incurred $16,500 of total factory overhead cost during May, including $6,800 for fixed factory overhead. What is the factory overhead efficiency variance (to the nearest whole dollar) for May under the assumption that Gerhan uses a four-variance breakdown (decomposition) of the total overhead variance? Multiple Choice a. $180 unfavorable b. $380 favorable. c. $380 unfavorable. d. $480 unfavorable. e. $480 favorable.
The factory overhead efficiency variance for May is $480 unfavorable.
What is overhead efficiency variance ?
The overhead efficiency variance measures the difference between the actual hours worked and the standard hours allowed, multiplied by the standard overhead rate.
Step 1: Budgeted overhead at 90% capacity:
Budgeted overhead = 6,120 DLHs * $3.00 per DLH = $18,360
Step 2: Budgeted overhead at 70% capacity:
Budgeted overhead = $15,640
Step 3: Standard hours at 70% capacity:
Standard hours = 6,120 DLHs / 90% * 70% = 4,760 DLHs
Step 4: Variable overhead rate:
Variable overhead rate = ($18,360 - $15,640) / (6,120 DLHs - 4,760 DLHs) = $2.00 per DLH
Step 5: Variable overhead efficiency variance:
Variable overhead efficiency variance = (4,760 DLHs - 5,000 DLHs) * $2.00 = $480 unfavorable
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