Answers
Answer:
355.83 yd²
Step-by-step explanation:
A = (B + b)h/2
A = (21.6 yd + 19.3 yd)(17.4 yd)/2
A = 355.83 yd²
Related Questions
Is it linear, exponential, or quadratic
Answers
Since there are no patterns for the rate of change of the function, it is quadratic.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output of the function divided by the change in the input.
When this rate is constant, the function is said to be linear, while if the rate increases in a proportional way, the function is exponential.
In this problem, no patterns of linearity or of exponentiality can be established, hence the function is quadratic.
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Find the value of a. please helppp
Answers
Answer :
Step-by-step explanation:
To find the value of 'a' we will use the tangent-chord theorem,
"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"
Angle 'a' is formed between the chord and the tangent.
Measure of the intercepted arc = (2 × 52)°
Therefore, measure of the angle 'a' = \frac{104}{2}
2
104
a = 52°
Therefore, Option (A) will be the correct option.
A survey revealed that 36% of people are entertained by reading books, 32% are entertained by watching TV, and 13% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV
Answers
The probability that a person will be entertained by either books or TV is 0.55
What is the required probability?Express the given percentages as probabilities.
Let the probability of people being entertained by books be represented as
P(A)=0.36
Probability of people entertained by watching TV,
P(B)=0.32
Probability of people entertained by both books and TV,
P(A∩B)=0.13
P(A) + P(B) - P(A and B) is the formula for calculating the either/or probability for overlapping events. This formula is identical to the non-overlapping events, but we need to take the likelihood that the outcomes could occur simultaneously into account.
Thus, the probability of people being entertained by either books or TV is,
P(AUB)=P(A)+P(B)-P(A∩B)
=0.36+0.32-0.13
=0.68-0.13
=0.55
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You have discovered the person giving you a ride home has been drinking. Use the GREAT decision making model to complete the R and E step. Think of at least 3 options and evaluate the pros and cons for each of your options
Option1:
list a pro and con for option 1
Option 2:
list a pro and con for option 2
Option 3:
list a pro and con for option 3
Answers
Using the GREAT decision-making model, one could consider telling the driver not to drive after drink, getting out of the car and looking for another, or riding in the same car while ignoring the situation.
What options do we have in this situation?The options we have in this situation are:
Complain to the driver and tell him not to drive after drink.Get out of the car and look for another.Go in the same car ignoring the situation.What are the pros and cons of these options?Option 1:
Pro: The driver can understand my concern and go to his house to avoid an accident.Con: The driver doesn't understand my concern, he gets angry and we start arguing.Option 2:
Pro: I'm going to be safe in another car.Con: While I wait for another car they can rob me.Option 3:
Pro: I'm going to get home.Con: It is an irresponsible action that puts the lives of several people at risk.Learn more about GREAT decision making model in: https://brainly.com/question/18066206
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The length of the boundary of a polygon is called its perimeter.
The lengths of the sides of the figure above are given in metres. What is y if the perimeter of this figure is 27 m?
Answers
The value of y if the perimeter of the figure is 5y is 15meters.
How to find the perimeter of a polygon?The perimeter of a polygon is the sum of the length of the whole sides.
Therefore,
perimeter = y + 2y + 30
perimeter = 5y
Hence,
5y = 3y + 30
5y - 3y = 30
2y = 30
divide both sides by 2
2y / 2 = 30 / 2
y = 15
Therefore, the value of y is 15m.
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How do u find the fraction result of this equation,
Im confused
Answers
At step 2, we arrive at
(2x + 3) (x + 3) = 0
and the next step (which isn't actually shown) is to use the so-called zero-product property that says if [tex]ab=0[/tex], then [tex]a=0[/tex] or [tex]b=0[/tex]. This means
2x + 3 = 0 or x + 3 = 0
and solving the first equation leads to the rational solution.
2x + 3 = 0
2x = -3
x = -3/2
Calculate the angle of depression from the
top of the flag pole to point A.
Give your answer to 1 d.p.
A
34 feet
27 feet
Not drawn accurately
Answers
Answer: [tex]52.6^{\circ}[/tex]
Step-by-step explanation:
Let the angle of depression be x.
[tex]\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}[/tex]
Can Someone Help Me Please????
Answers
The theorems that apply are A(HL) D(SAS) E(LL)
What are similar triangles?Two triangles are said to be similar if their corresponding angles are equal and their corresponding lengths are in the same proportion.
Analysis:
The two triangles are similar according to the HL theorem since the hypotenuse of the two triangles are equal and one of the sides is same in both triangles. HL theorem applies.
The two triangles are similar according to LL theorem since the other lengths apart from the hypotenuse are also equal.
since two sides of both triangles are equal and there is an included angle 90 degree between the equal sides, the triangles are similar based on SAS.
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A survey was conducted among 1000 people. Of these 595 are Democrats, 595 wear glasses and 550 like ice-cream; 395 of them are Democrats who wear glasses, 350 of them are Democrats who like ice-cream, 400 of them wear glasses and like ice-cream, 250 of them are Democrats who wear glasses and like ice-cream. How many of them are not Democrats, do not wear glasses, and do not like ice-cream? How many of them are Democrats, who do not wear glasses, and do not like ice-cream?
Answers
The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.
We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.
let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.
So,
D=595, G=595 AND I=550
Now D∩G=395
D∩I=350
G∩I=400
so D∩G∩I=250
Formula will be :
D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)
=595+595+550-(395+350+400)+250
=845
845 are either democrats or wear glasses as well as like ice cream.
So 1000-845=155
Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)
=595-(395+300)+250
=845-695
=150 people.
Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
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A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are black
Answers
Answer: Probability = 44%
Step-by-step explanation:
To find the probability of finding 2 black balls in a row, we first need to find the probability of finding 1 black ball at a time.
To do that, we need to divide the amount of total black balls by the number of total balls.
Black balls = 6
Total balls = 3 + 6 = 9
6 divided by 9 = 0.(6)
If you multiply 0,(6) by 100%, it will give you 66% (rounded) of getting a black ball.
Now, to find the chances of getting 2 black balls in a row, we need to multiply [tex]\frac{6}{9}[/tex] by [tex]\frac{6}{9}[/tex]. What we are doing is squaring the chances of getting one black ball, by the number of times we want to get it.
That is equal to 0,(4)
Multiply 0,(4) by 100%, and it will give you 44%(rounded) chances to get a black ball 2 times in a row.
Probability = 44%
Hope I Helped!
Lila needs a custom frame for a painting that her friend made for her. I’ve Been Framed is offering 50 percent off their regular price of $115 plus an additional 10 percent off the sale price. The Framers is offering 30 percent off their regular price of $120 plus an additional 40 percent off the sale price. Which location is offering the better price and how much cheaper is it?
Answers
Answer:
The Framers are offering a better price and are cheaper by $1.35
Step-by-step explanation:
I've been framed price:
50% off of 115 = 0.5*115 = 57.5
10% off of sale price = 0.9*57.5 = $51.75
the Framers price:
30% off of 120 = 0.7*120 = 84
40% off of sale price = 0.6*84 = $50.40
Difference: 51.75-50.40 = $1.35
help me pleaseeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
D
Step-by-step explanation:
on a graph, look at the points (-3,0) (-1,0) and (2,0). Then, see if the line passes through those points. You will see that graph D passes through all those points. If you're confused on how to turn the (x,y) format into points on a graph, remember that the first point tells you how left/right you want to be, and the second point tells you how up/down you want to be.
Suppose that there are 9 faculty members in the math department and 11 in the computer science department. How many ways are there to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department
Answers
There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.
It is given that there are 9 faculty members in the math department and 11 in the computer science department.
[tex]C^{9} _{3} * C^{11} _{4}[/tex]
[tex]= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240[/tex]
Therefore, there are 9240 ways to select the committee.
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A group of computer engineers secured a loan to fund a new startup in Silicon Valley. The bank gives them a loan in the amount of 1.8one point eight million dollars. The engineers estimate that their business will be able to make a profit of approximately $0.6zero point six million per year. They keep track of their debts, profits, and overall financial status on a balance sheet. They enter the debt as a negative value and all profits as positive values.
Define a unit for the amount of time since the company began. Enter a variable for the amount of time since the company began and use this variable to write an expression for the expected financial status.
What was the financial status of the company when it began?
If the estimates were correct, how many years was it before the financial status of the company was 11.4eleven point four million dollars?
After completing the worksheet, graph your model.
Answers
It will take the company 20.3 years to have a financial worth of $11.4
The unit of the amount of timeThe estimate of profit is given as;
Profit = $0.6 million per year
This means that the engineers based their estimate per year
Hence, the unit of time is year
The variable of the amount of time
To do this, we make use of any variable of our choice.
In this case, we let x represents the variable of the amount of time.
Expression for the expected financial statusIn (a), we have:
Profit = $0.6 million per year
So, the expected financial status is 0.6x
The financial status of the company when it beganThis is the amount taken as loan by the engineers.
So, the financial status at the beginning is 1.8
Years to attain the financial status of $11.4 million?Using the expressions above, we have the yearly worth to be:
y = 0.6x - 1.8
When the financial status is $11.4 million, we have:
0.6x - 1.8 = 11.4
Evaluate the like terms
0.6x = 12.2
Divide both sides by 0.6
x = 20.3
Hence, it will take the company 20.3 years to have a financial worth of $11.4
The graph of the modelSee attachment for the graph of y = 0.6x - 1.8
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Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81
Answers
All possible lengths of segment AB wil be 27 < AB < 81.Option b is correct
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
Any two triangle sides' lengths added together are longer than the third side's length.
The triangular inequality theorem is applied in three ways;
1.
AC+BC > AB
27+54 > AB
81 > AB
2.
27+AB > 54
AB> 54-27
AB > -27
3.
54+AB > 27
AB > 27-54
AB > -27
All possible lengths of segment AB wil be 27 < AB < 81.
Hence option b is correct
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Answer:
27 < AB < 81
Step-by-step explanation:
The answer above is correct.
Area=
Need help asap. Stuck on this question thanks
Answers
Answer:
88 square units
Step-by-step explanation:
Area of trapeziuma and b are the length of the parallel sides.
a = IL = 15
b = JK = 7
h = height between the parallel lines = 8
[tex]\sf \boxed{\bf Area \ of \ trapezium = \dfrac{(a +b)*h}{2}}[/tex]
[tex]\sf =\dfrac{(15+7)*8}{2}\\\\=\dfrac{22*8}{2}\\\\= 11*8\\\\= 88 \ square \ units[/tex]
Benoît has a home business selling antique watches. If he sells x watches, in thousands, his profit, P, in thousands of dollars, is given by
P=−50x^2 + 550x − 900
Determine Benoît’s break-even points
Determine his maximum profit and how many antique watches he must sell to achieve this profit.
Answers
The number of watches that just be sold is 90 and the profit is -356400.
How to calculate the profit?From the information given, the equation is given as:
P = −50x² + 550x − 900
P = -5x² + 55x - 90
= -5x² + 45x + 10x - 90
= -5x(x - 9) + 10(x - 9)
= (-5x + 10)(x - 9)
x - 9 = 0
x = 0 + 9 = 9
The watches that must be sold will be (9 × 10) = 90
The profit will be:
P = −50x² + 550x − 900
P = -50(90)² + 550(90) - 900
P = -405000 + 49500 - 900
P = -356400
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A tub contains red, green and blue counters. 20% of the counters are blue. The ratio of red to green counters is 2 : 3. If there are 24green counters, what is the probability of picking a red counter?
Answers
The probability of picking a red counter is therefore; 8/25.
What is the probability of picking a red counter?Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;
x = (2/3)× 24 = 16 red.
The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.
The total number of counters is therefore; 40/0.8 = 50 counters.
The probability of picking a red counter is therefore; 16/50 = 8/25.
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A local pizza shop has a membership for frequently buyers. The membership cost $5 per month and members get a diamond price of 1.75 per slice of pizza. Lamonte purchased a membership to this pizza shop. How much would lamonte have to pay the pizza shop if he brought 20 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answers
Answer:
40 Including membership Price
35 Just for Pizza
Step-by-step explanation:
$5 for Membership for the month (Not sure if the final answer includes this or not)
1.75 x 20 = $35 for Pizza
Area=
Help please!! Asap thank u so much
Answers
The area of the shaded region in the task content is; 251.2.
What is the area of the shaded region in the task content?It follows from the task content that the area of the shaded region is;
= Area of semicircle IL - Area of semicircle JK + Area of semicircle IJ + Area of semicircle KL.
Hence, since the radius of each semicircle are as follows;
R(IL) = 12
R(IJ) = R(JK) = R(KL) = 4.
Hence, the Area of the shaded region can be evaluated as;
= (π/2)(12² - 4² + 4² +4²).
= π (144 +16)
= (3.14/2) × 160 = 251.2
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raising a quantity to a negative exponent will produce
Answers
Answer:
a fraction
Step-by-step explanation:
this will produce a fraction, for example:
3^-1 = 1/3
and (-2)^-3 = -1/8
Helpp plleeaaseee!!!!!!
Answers
Answer:
Step-by-step explanation:
255 people
Massa says that 540 ÷ 6 = 9. Is he right? Explain how you know using an equation.
Answers
Both sides of the equation are not equal, therefore, Massa was wrong.
How to Evaluate an Equation?For an equation to be correct, the values on both sides of the equation must be equal and balance.
Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.
Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.
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Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN
Answers
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A, BC < MN.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
As per the given conditions, the angle that will be opposite to ∠A is BC and ∠L is MN.
Now since the measure of ∠L is more than the measure of ∠A, therefore, the side MN will be greater than BC.
Hence, the correct option is A, BC < MN.
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Answer: Option 1 or A. BC<MN
Step-by-step explanation: Trust Me!
The answer is correct on Edge. The proof is in the pic below.
Goodluck everyone! :)
Given AC = LN and BA = ML, which statement must be true?
A. BC < MN
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
What is the largest possible volume of the box?
Answers
The largest possible volume of the box is x²y
How to determine the volumeIt is important to note that the given figure is a rectangle
Area of the box is given as 100 square feet
Formula for volume of a rectangle
Volume = length × width × height
Length = x
Width = x
Height = y
Substitute the values in the formula
We have;
Volume = x × x × y
Volume = x²y
Thus, the largest possible volume of the box is x²y
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is a quadrilateral graphed in the coordinate plane with vertices , , , and . What are the lengths of the sides of the quadrilateral, and what is the correct name for the figure?
Answers
The given quadrilateral is a rectangle because 2 pairs of sides are equal in length.
How to find the distance between two coordinates?We are given the coordinates of the quadrilateral as;
W(0, 5), X(-3, 2), Y(0, -4), Z(3, 2).
Now, the formula for distance between two coordinates is;
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Thus;
WX = √[(-3 - 0)² + (2 - 5)²]
WX = 3√2
XY = √[(0 + 3)² + (-4 - 2)²]
XY = 3√5
YZ = √[(2 + 4)² + (3 - 0)²]
YZ = 3√5
ZW = √[(0 - 3)² + (2 - 5)²]
ZW = 3√2
Thus, we can conclude that the given quadrilateral is a rectangle because 2 pairs of sides are equal in length.
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Which expression is equivalent to [tex]\sqrt{100}[/tex]
10
10²
50
50²
Answers
[tex]\huge\boxed{10}[/tex]
[tex]\sqrt{100}[/tex] means that you are looking for the number that, when multiplied by itself, produces [tex]100[/tex]. That number is [tex]10[/tex], because [tex]10\cdot10=100[/tex], meaning that [tex]\sqrt{100}=10[/tex].
Find from the first principle the derivative of y=sinsquare (3x-5).
Answers
Answer:
the answer is x= 3/4 I think
Roger’s brother gave Roger his collection of coins when he left for college. At that time, the value of the collection was $720. Twelve years later, the collection was worth $1080. What is the rate of change? Don't forget your units.
Answers
Answer:
A: The rate of change is 10% per year.
Step-by-step explanation:
The rate of change is simply the change in value divided by the change in time. In this case, the change in value is $1080 - $720 = $360, and the change in time is 12 years. Therefore, the rate of change is $360 / 12 years = $30 per year.
The label of a vial states that it contains 1g in 10ml.you know that 9.6 ml were added.what is the powder volume
Answers
Vial contains 0.96g powder.
Proportion is used to show how quantities and amounts are related to each other. The amount that quantities change in relation to each other is governed by proportion rules.
A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘∝‘. For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as ‘a∝1/b’
The given question is the example of direct variation.
Powder volume ∝ Liquid volume
∴ We can apply cross multiplication method
Let powder volume be x
1g→ 10ml
x→ 9.6ml
cross multiplying
1 x 9.6 = 10 x [tex]x[/tex]
x = 0.96 g
Thus Vial contains 0.96g powder.
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