Applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21
Recall:
Trigonometry ratios can be applied to solve any right triangle for missing side lengths or angles. They are denoted with the acronym, SOH CAH TOA.
Using trigonometry ratio, TOA, find the length of the side of the tree in the bigger triangle as follows:
tan 60 = x/9
x = tan 60 × 9
x = 15.6 ft
Height of the tree = 15.6 + 5.2 = 20.8 ft.
In conclusion, applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21Learn more about trigonometry ratio on:
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Answer: 21
Step-by-step explanation:
just rest
Please help with this math problem
Answer:
D for 8 C for 7
Step-by-step explanation:
A increasing trend is said to be of what kind of correlation
positive
Step-by-step explanation:
b edge2020
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (×2 + x-2) and got the
expression below.
(2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2)
Which is the simplified product?
2x³ + 5x² - x - 6 is the simplified product of (2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2).
What is a trinomial?A three-term algebraic expression is referred to as a trinomial. Variables and constants of one or more terms make up an algebraic expression. These expressions separate words or phrases using symbols or operations like +, -,×, and ÷.
This algebraic phrase includes a trinomial as well as a monomial, binomial, and polynomial. Let's learn more about trinomials, how to factor them, and the formula for doing so while also solving some problems.
It is expressed as
x² + xz + 1
A simplified product will be an equation where we will take all the same variables as common variables.
⇒ (2x)(x²) + (2x)(x) + (2x)(-2) + (3)(x²) + (3)(x) + (3)(-2)
⇒ 2x³ + 2x² -4x +3x² + 3x -6
⇒ 2x³ + 5x² - x - 6
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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.
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?
-8(6x - 7y) - (24x - 3y)
Answer:
-72x + 10y
Step-by-step explanation:
First apply the Distributive Property of Multiplication:
-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.
Combining like terms, we get -72x + 10y
Answer:
-21x+53y
Step-by-step explanation:
learned it
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
how could you use the symmetry of the graph to find the zeros of the function?
Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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find the pattern write a rule for the table
In the past few years, many small businesses have been faced with difficulty keeping their doors open, and in many cases large corporations with cash on hand have come in to take over the companies and their real estate. In such case, a large restaurant chain purchased a small corner tavern with plans to use the name to build a local franchise. The cost of buying the franchise naming rights was four times the cost of buying the physical property. If the total purchase price was $1,250,000, how much did the restaurant chain pay for each individual element of the sale ( naming rights and physical property)?
The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
What is sale?Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.
The total purchase price of the franchise naming rights and physical property was $1,250,000.
To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.
The total purchase price of $1,250,000 divided by two elements equals $625,000.
This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.
The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is
$625,000/4 .
When the cost of the physical property is multiplied by four, the result is $2,500,000.
This means that the restaurant chain paid $2,500,000 for the franchise naming rights.
In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
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5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.
Answer:
let the rati be x
2x=8
x=4sweets
beth=3x=3×8=24 sweets
Step-by-step explanation:
plz make me brainliest
Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?
Answer:
$182.25
Step-by-step explanation:
You just times the per hour to the amount of hours. Hope this helps
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each.
When t=3 what is the total amount of money received?
Answer: $132
Step-by-step explanation:
(3t + 2) = 55
(2t + 5) = 77
$55 + $77 = $132
Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
28 yd²
Step-by-step explanation:
finding the area of a triangle is (base * height) / 2.
(14*4)=56
56/2=28
Mathematics text book for class vi has 320 pages the chapter symmetry runs from page 261 to 272. The ratio of the number of pages of this chapter to the total number of pages of the book
Answer:
Step-by-step explanation:
No
Which of the following values for y makes the inequality True? 3y >12
answer:
a value of five or more would make the inequality true
a sequential circuit has two jk flip-flop a and b and one input x. the circuit is described by the following flip-flop input equations:
D flip flop stands for a delay flip flop that produces output that is identical to input after a brief delay. The flip flop's input and next state are equal.
Z is an output, and x and x inputs.
x'y + xA = DA= A*
B* = x'B + xA
z=A (output is independent of input) (output is independent of input)
The next states are A(t+1) and B(t+1). We must provide the next state value to D of the D flip flop in order to obtain the next states A(t+1), and B(t+1) for A, B(present state). So the sequential circuit will be:
To get the next state as A(t+1)= x’A + xA, B(t+1)= x’B + xA, we have to give them to DA, DB of D flip flop because for D flip flop whatever is given to DA, DB will appear at output A, B.
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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the lateral surface area of a cylinder is 184. The radius is 9. what is the surface area of the cylinder
Answer:
I think its 692.94 sorry if its not correct!
Sunscreen should be applied every 2 hours. Over the summer, Cece spends at least 84 hours outside.
Write an inequality that can be used to determine how many times Cece should apply sunscreen.
Answer:
42
Step-by-step explanation:
84 divide 2
answer 42
answer =42
Who can answer this for me please
Answer:
f(2)=-2
Step-by-step explanation:
Values of a function from a graph
The graph of a function is usually a drawn line that joins a number of points that correspond to the ordered pairs (x,y), where x is a given value, and y is the value calculated through the rule of the function, usually a formula or equation.
If we want to know the value for a specific value of x, we find the corresponding x-coordinate, draw an imaginary vertical line until we meet the graph. The value of y at that point is the required value of the function.
For example, for x=0 the graph crosses the y-axis at y=2, thus the ordered pair is (0,2), and f(0)=2.
For x=2, the function has a value of y=-2, thus:
f(2)=-2
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
how many linear factors does a polynomial function f of degree n have, where n > 0?
There will be n linear factors of a polynomial function f of degree n
We derive the above answer based on the following explanation,
The Linear Factorization Theorem states that . . . if f(x) is a polynomial of degree n, where n > 0, then f has precisely n linear factors f(x) = an(x – c1)( x – c2) . . . (x – cn) where c1, c2, . . . , cn are complex numbers.
Let us assume f to be a polynomial function with real coefficients and suppose a+bi, b≠0, is a zero of f(x). Then, by the Factor Theorem, x−(a+bi) is a factor of f(x). For f to have real coefficients, x-(a−bi) must also be a factor of f(x). This is true because any factor other than x−(a−bi) when multiplied by x−(a+bi), will leave imaginary components in the product. Only conjugate pair multiplication will get rid of the imaginary components and produce real coefficients.
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If 11% of a number equals 12, find 66% of that number
Answer: 72
Step-by-step explanation:
0.11*a = 12
0.66*a = ?
Hint: We don't need to find a to answer this question! Just find the relationship with these equations.
0.66*a = 6*(0.11*a) = 6*12 = 72
Find the value of x in the triangle shown below.
Answer:
30 Degrees for sure
4 - m/2 = 10
Please help!!
Answer:
M=3
Step-by-step explanation:
4-m/2=10subtract 4 from each sideget m/2=6then divide 2 from 6 and get m=3Hope this helps:)
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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A box has length 5 feet, width 6 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
Answer:
90 inches
Step-by-step explanation:
The formula for volume is LxWxH so you just gotta do 5x6x3
which is 90.
I need help asappp!!!