Answers
Answer:
The total area of the shape is 162 + 243π square feet.
Step-by-step explanation:
The simplest way to solve this is to take the area of the circle, multiply that by 3/4, then add the area of the triangle.
A circle's area is πr², so three quarters of that is ³/₄πr².
r = 18 ft, so the circular part of the shape is ³/₄π18² square feet
18² = 324
³/₄ of 324 is 243
so the circular part of the shape has an area of 243π square feet.
The triangular part is half a square, with a side length of 18 feet. That means that its area will be:
18² / 2 feet
= 324' / 2
= 162'
So the total area of the shape is 162 + 243π square feet.
Related Questions
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders one coffee and three doughnuts and pays $5.00. Cathy orders three coffees, one juice, and four doughnuts and pays $11.50. Find the price of coffee, juice, and doughnuts at this coffee shop.
Answers
Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:
[tex]c = coffee\\ j= juice\\ d = doughnut[/tex]
So, we have:
Anna
[tex]2c + j + 2d = 7.50[/tex]
Barry
[tex]c + 3d = 5.00[/tex]
Cathy
[tex]3c + j + 4d = 11.50[/tex]
Required
The price of each
We have:
[tex]2c + j + 2d = 7.50[/tex]
[tex]c + 3d = 5.00[/tex]
[tex]3c + j + 4d = 11.50[/tex]
Make c the subject in: [tex]c + 3d = 5.00[/tex]
[tex]c = 5.00 - 3d[/tex]
Substitute [tex]c = 5.00 - 3d[/tex] in [tex]2c + j + 2d = 7.50[/tex] and [tex]3c + j + 4d = 11.50[/tex]
[tex]2c + j + 2d = 7.50[/tex]
[tex]2[5.00 - 3d] + j + 2d = 7.50[/tex]
[tex]10.00 - 6d+ j + 2d = 7.50[/tex]
Make j the subject
[tex]j = 7.50 - 10.0 +6d - 2d[/tex]
[tex]j = -2.50 +4d[/tex]
[tex]3c + j + 4d = 11.50[/tex]
[tex]3[5.00 - 3d] + j + 4d = 11.50[/tex]
[tex]15.00 - 9d + j + 4d = 11.50[/tex]
Make j the subject
[tex]j = 11.50 - 15.00 + 9d -4d[/tex]
[tex]j = -3.50 + 5d[/tex]
So, we have:
[tex]j = -3.50 + 5d[/tex] and [tex]j = -2.50 +4d[/tex]
Equate both values of j
[tex]-3.50 + 5d = -2.50 + 4d[/tex]
Collect like terms
[tex]5d - 4d = 3.50 -2.50[/tex]
[tex]d = 1.00[/tex]
Substitute [tex]d = 1.00[/tex] in [tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5d[/tex]
[tex]j = -3.50 + 5 * 1.00[/tex]
[tex]j = -3.50 + 5.00[/tex]
[tex]j = 1.50[/tex]
To solve for c, we substitute [tex]d = 1.00[/tex] in [tex]c + 3d = 5.00[/tex]
[tex]c + 3 * 1.00 =5.00[/tex]
[tex]c + 3.00 =5.00[/tex]
Solve for c
[tex]c =- 3.00 +5.00[/tex]
[tex]c =2.00[/tex]
Probability distribution
Answers
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
Plsss help me, i need to round to the nearest angle:)
Answers
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they usually have homework.
.
Taylor interviews 30 students.
.
Hunter interviews 40 students.
• Grace interviews 20 students.
.
Aidan interviews 70 students.
Whose results are probably the most trustworthy?
A. Taylor's
B. Grace's
C. Hunter's
D. Aidan's
Answers
The larger the sample size (number of people asked), the more accurate the results generally are, due to the law of large numbers.
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y = 12x + 2
2y = x + 4
choose
The system of equations has no solution,infinitely many solutions, one solution The two equations represent parallel lines, the same lines, intersecting lines.
Answers
Answer:
The system of equations has one solution. The two equations are intersecting lines.
Step-by-step explanation:
if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.
2(12x+2)=x+4
next, you have to distribute
24x+4=x+4
subtract 24x from each side
4=-23x+4
subtract 4 from each side
0=23x
divide each side by 23
x=0
now, plug in 0 to one equation.
y=12(0)+2
y=2
the lines intersect at one point, (0,2)
A population has a standard deviation of 24. What is the standard error of the sampling distribution if the sample size is 100?
A. 0.48
B. 4.8
C. 0.24
D. 2.4
Answers
Answer:
D. 2.4.
Step-by-step explanation:
S.E. = std dev / √N
= 24 / √100
= 2.4.
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, constitutes the statistic's measurement error (SE).
SE = σ / √n
A population has a standard deviation of 24. Then the standard error of the sampling distribution, if the sample size is 100, is calculated as,
SE = σ / √n
SE = 24 / √100
SE = 24 / 10
SE = 2.4
The standard error of the sampling distribution will be 2.4. Then the correct option is D.
More about the standard error link is given below.
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1.
A diagram of Ryan's yard is shown.
-12 ft
10 ft
14 ft
5 ft
Which expression can Ryan use to find the total
area of his yard?
A. (10+4)(12+5)
B
(10 + 4) X (12 - 5)
C. (12 x 10) - (5 x 4)
D. (12 x 10) + (5 x 4)
Answers
Answer:
D. (12 x 10) + (5 x 4)
Step-by-step explanation:
If you draw a line separating the big square from the little square, you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.
Calculate both areas separately, then add them together.
Hi can someone answer this question please
Which number line represents the solution to the inequality -7x - 13 ≥ 87
Answers
Answer:
x ≤ - 3
Option A
Step-by-step explanation:
Given the inequality :
-7x - 13 ≥ 8
Add 13 to both. Sides
-7x - 13 + 13 ≥ 8 + 13
-7x ≥ 21
Divide both sides by -7
x ≤ - 3
I will give Brainiest if you are right
Answers
The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.
25x </= 300
Divide both sides by 25
x </= 12
Answer: J
Number line J. beast represents the solution to the inequality.
Step-by-step explanation:
Have a nice day!
Give the other person brainliest! :-)
Use a ratio box to solve this problem. The price of one model of car increased 10 percent in one year. If the price this year is $17,600,
what was the price last year
Answers
Answer:
$15,840
Step-by-step explanation:
10% of 17600 = 1760
17600 - 1760 = 15840
1. Alex was solving an equation with the variable x. Upon simplifying the equation, he
concluded that the equation has no solution. Which equation could be Alex's equation
after he simplified it?
B.
A X0
X2
C3=3
D4=5
Answers
Answer:did you get the answer yet cause I really need it
Step-by-step explanation: please y’all help this person answer the question
please help :((
Use the zeros and the labeled point to write the quadratic function represented by the graph. (1.4)
A. y= x2 - 5x + 6
B. y = 2x2 - 2x - 12
C. y = 2x2 - 10x + 12
D. y = 3x2 + 15x + 18
Answers
The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.
What is the quadratic function represented by the graph?It follows from the task content that the quadratic function which is represented by the graph be determined.
Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.
Hence, since it follows that the roots are 2 and 3; we have;
y = a (x - 2) (x -3)
Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;
4 = a (1 -2) (1 -3)
4 = a(-1) (-2)
4 = 2a
a = 2.
On this note, the required equation is; y = 2 (x - 2) (x - 3).
Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.
Read more on quadratic functions;
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MATH MATH MATH MATHHHHHHHHHHHHHH
Answers
Answer:
1. Obtuse angle
2. 5
3. 117
Step-by-step explanation:
1. Any angle that is wider than 90 degrees is obtuse.
2. 180 = straight angle so, 180-140=40 8x5=40 so x=5
3. Supplementary angles are one angle that is 180 so, 180-63= 117
Find the complete factored form of the
polynomial:
- m2n5 - 4m3n6
Enter the correct answer.
Answers
Answer:
-m^2n^5(1+4mn)
Plz ASAP help with question 15 I really need help
Answers
Use formula 2πrh+2πr
Hope this helps
isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
Answers
Answer:
$133,728 would be in the count after 12 hours.
Step-by-step explanation:
Continuous compounding:
The amount of money, in continuous compounding, after t years, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.
This means that [tex]P(0) = 77000, r = 0.046[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?
This is P(12). So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]
$133,728 would be in the count after 12 hours.
solve for c 2(3-2c)=30
Answers
Answer:
6-4c
Step-by-step explanation:
2(3-2c)
2×3+2×-2c
6+2×-2c
6-4c
Answer:
-6
Step-by-step explanation:
Yolanda is planning out her square vegetable garden, One side 6 feet. How
can I represent the area with exponents?
Answers
Answer:
6^2
Step-by-step explanation:
A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.
a. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
b. Eliminate the parameter to find a Cartesian equation of the curve.
x=1 + 3t, y= 2-t^2
Answers
Answer:
y = 2 - ( x - 1)²/9
Step-by-step explanation: See Annex
As the parameter t increases, the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.
b) to eliminate the parameter:
x = 1 + 3*t (1) y = 2 - t² (2)
Then from equation (1) t = ( x - 1 ) / 3
plugging that value in equation (2)
y = 2 - [ ( x - 1 ) / 3 ]²
y = 2 - ( x² + 1 - 2*x)/9
9*y = 18 - x² + 1 - 2*x or y = 2 - ( x - 1)²/9
The curve is a parabol
Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.
Answers
Answer:
i. A = $25 t + $150
ii. B = $35 t + $100
iii. Number of hours = 5
Step-by-step explanation:
For company A:
A = $25 t + $150
where A is the amount charged and t is the number of hours of landscaping.
For company B:
B = $35 t + $100
where B is the amount charged and t is the number of hours of landscaping.
When the time is 5 hours, then:
i. A = $25 t + $150
= $25 (5) + $150
= $125 + $150
A = $275
ii. B = $35 t + $100
= $35(5) + $100
= $175 + $100
B = $275
Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.
Find the value of x.
Answers
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answers
Answer:
The first option.
Step-by-step explanation:
You take the major vertical length and put it into this equation:
2a = 16
a/2 = 16/2
a = 8
You do the same with the minor length.
2b = 10
b/2 = 10/2
b = 5
You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1
Using property simplify 472x96+472x4
Answers
Answer:
183136 is the correct answer
If the expression below has a positive value, which inequality represents all possible values of x in the expression? -3x
Answers
Answer:
x < 0
Explanation:
A negative times a negative equals a positive, and the expression is positive, so x has to be negative/less than 0
I know you already got the answer, but one of the links was deleted so I thought I'd post it as an answer instead of a comment :)
Plz answer this question need ASAP
Answers
Answer
its b
Step-by-step explanation:
43k 67u 88j
Please help I would be really happy:)
Answers
Questlon 2 of 10 Which distribution is positively skewed? will give brainliest
Answers
Answer:
The answer is B
Step-by-step explanation:
Solve the equation. I just want an answer that is correct. I'm don't understand how to solve this.
Answers
Answer:
2222333344445555666677778888
Step-by-step explanation:
I don't see the thing
Of 36 chemical elements, 2 are named for women scientist and 25 are named for palces. What fraction of these 36 elements are named for women or place? Show your work
Answers
Answer:
27/36
Step-by-step explanation:
25 + 2 = 27
total = 36
HELP ME PLEASEEEEEEEEEE
Answers
I hope this helps- i need to write words so here this lol yep yep have a nice day- :)