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Area of a circle:
A = π*r²
where r is the radius
Area of a square:
A = s²
where s is the length of one side
The height and width of the figure are both 4 times the radius of the circle, which is (20 ft)/4 = 5 ft. The side of the square is the diameter of the circle, 10 ft.
The total area is that of 2 full circles of radius 5 ft and one square of side length 10 ft.
.. A = 2*π*(5 ft)² + (10 ft)²
.. = (50π +100) ft²
.. ≈ 257.1 ft²
Related Questions
Please help with this roblem
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answer
2.5
Miguel is driving his motor boat across the river. The speed of the boat in Still water is 14 mi/h. The river flows directly south at 2 mi/h. If Miguel heads directly west, what are the boats resultant speed and direction? Diagram is not drawn to scale.
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The resultant speed of the boar is v, and its direction is θ degrees south of west.
Use the Pythagorean Theorem to calculate v.
v² = 14² + 2² = 200
v = √(200) = 14.1 mi/h
By definition,
tan θ = 2/14 = 0.1429
θ = tan⁻¹ 0.1429 = 8°
Answer: 14.1 mi/h; 8° south of west.
Find the numerator of the equivalent fraction with the denominator 12x - 2/3
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Please help me!!!!!!!!!!!!!!!!
What is the constant of proportionality?
What would the equation look like?
Answers
In this case 7 would be your constant of proportionality
What is the correct way to classify a triangle with angles that measure 20 , 40 and 120
Answers
If a cube shaped box has a volume of 1331 cubic inches how tall is the box.
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Answer: Cube is 11 inches tall
Explanation:
Cube has all edges the same length . The volume of a cube is multiplying the length of any edge, height and width of the cube.
Volume of cube = length * width * height
We know that length = width = height = s
So, Volume of cube = s*s*s
= s³
In given question:
Volume of the cube = 1331 cu in.
s³ = 1331
take cube root both the side
s = ∛1331
s = ∛(11*11*11)
s = 11 inch
So, height of the cube = 11 inches
a recipe calls for 4 tsp of baking soda and 1 fl. oz. of vanilla. Which measurement is greater? Explain.
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the length of a rectangle is 8 feet more than its width the area of the rectangle is 84 square feet find its length and width.
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x²+8x=84
-84. -84
x²+8x-84=0
(x+14)(x-6)=0
x+14=0 x-6=0
x=-14 x=6
^reject the -14 because you can't have a negative measurement
The width is 6 feet and the length is 14 feet (6+8=14)
Answer:
breath = 6ft
length = 14ft
Step-by-step explanation:
Area of a rectangle = length x breath
Area = 84ft²
Since length is 8feet more than breath.
Let assume a breath is y.
i.e
breath = y
length = y + 8
Area = 84
84 = y * (y+8)
84 = y² + 8y
y² + 8y - 84 = 0
quadratic equation
y ( y - 6 ) + 14 ( y - 6 )
(y + 14 )( y - 6 )
So to find y
y + 14 = 0
y = -14
Or
y - 6 = 0
y = 6
We will you the positive value of y, because we can not have a negative value for measurements ( length or breath)
Therefore
breath = y
breath = 6ft
length = y + 8
length = 6 + 8 = 14ft
what is the inverse of the function below f(x) =x/5 -2
Answers
Answer:
[tex]y=5x+10[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{5} -2[/tex]
To find the inverse of the function we do the following steps
Replace f(x) with y
[tex]y=\frac{x}{5} -2[/tex]
Replace y with x and x with y
[tex]x=\frac{y}{5} -2[/tex]
Solve the equation for y
Add 2 on both sides
[tex]x+2=\frac{y}{5}[/tex]
Now multiply by 5 on both sides
[tex]5(x+2)=y[/tex]
Now distribute 5 inside the parenthesis
[tex]5x+10= y[/tex]
[tex]y=5x+10[/tex]
How do you do this simultaneous equation?
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-x - 5 = 2x + 4 Add x to both sides
- 5 = 3x + 4 Subtract 4 from both sides.
- 9 = 3x Divide by 3
x = -9 / 3
x = - 3
y = - x - 5
y = -(-3) - 5
y = - 2
So that point is where the two equations meet.
To see the graph of your question on the internet, go to
Wolframalpha.com
and put this string in the question space.
y = -x - 5; y = 2x + 4 Note the semi colon in the middle.
To the moderator: This is my own work. I'm using Wolfram to get the answer.
Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine which statement is true a (a) student needs to take a 6 dance class to learn the routine) (b) student needs to take five dance classes to learn this routine see a student needs to take 9 dance classes to learn the routine) or (d) a student needs to take 10 dance classes to learn the routine)
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The student will need 10 dance classes to learn the routine. Hope it helps! :)
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes. Hence, students needs to take 10 dance classes to learn the routine.
Given information:
The dance class is having the time 3/4 hour, and the value of 3/4 hour is 45 minutes.
The time taken by to students to learn the dance routine is 7.5 hours, and the value of 7.5 hours is 450 minutes.
According to the question,
The number of classes [tex]N[/tex] students have to attend to learn a dance routine can be written as,
[tex]N=\dfrac{450}{45}\\N=10[/tex]
Hence, from the above calculation one can conclude that, students needs to take 10 dance classes to learn the routine.
For more information visit:
https://brainly.com/question/19389526
Please help! The choices for the first box is right/left, right, or left. The choices for the second box is up/down, up, or down..
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Hope this helps! :)
Can anyone help me please?
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6. a + c = 150 . . . . . . . . . . 150 tickets were sold
.. 10.25a +7.75c = 1470 . . revenue from sales was 1470; adult tickets were 10.25
matches (1)
Graph the systems of equations:
2x+y=5
14x+7y=35
What is x?
What is y?
PLEASE I NEED HELP!
Answers
Answer:
The question is wrong if you're looking to find x and y as they would cancel themselves being factors of each other
Step-by-step explanation:
The lines are co-incident so all the points on the graph are equal but the graph would look like this
how many decimal places are in the product of 185.9 and 0.35?? with diagram or work
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One jug of plant food treats an area of 135 square ft. How many jugs Would be needed to treat an area of 165 square yards (try writing equation)
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To treat an area of 165 square yards, you would need 11 jugs of plant food.
Explanation:To find out how many jugs would be needed to treat an area of 165 square yards, we need to convert the area to square feet and then divide by the area treated by one jug of plant food.
1 square yard = 9 square feet, so 165 square yards = 165 × 9 = 1485 square feet.
Now, since one jug treats an area of 135 square feet, the number of jugs needed is 1485 ÷ 135 = 11 jugs.
Learn more about Calculating Quantity here:https://brainly.com/question/32195961
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A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?
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Since 3 rolls of the satin ribbon are 120 yards, [tex]3x=120[/tex]. We can solve the equation to get the yards in one satin ribbon roll like follows:
[tex]3x=120[/tex]
[tex]x= \frac{120}{3} [/tex]
[tex]x=40[/tex]
Now that we know the yards in one roll of satin ribbon, lets find the yards in the lace ribbon one:
Since 2 rolls of lace ribbon and 4 rolls of the satin ribbon are 160 yards, [tex]2x+4y=160[/tex]. But remember that we already know the value of [tex]x[/tex] is 40, so lets replace that in our equation and solve for [tex]y[/tex] to get the yards in one roll of lace ribbon:
[tex]2x+4y=160[/tex]
[tex]2(40)+4y=160[/tex]
[tex]80+4y=160[/tex]
[tex]4y=160-80[/tex]
[tex]4y=80[/tex]
[tex]y= \frac{80}{4} [/tex]
[tex]y=20[/tex]
We can conclude that there are 40 yards in the roll of satin ribbon, and 20 yards in the roll of lace ribbon.
Answer:
d.there are 20 yards on one roll of lace ribbon and 30 yards on a roll of satin
Step-by-step explanation:
A class voted for either rollerblading, swimming, or biking as their favorite summer activity. If rollerblading got 4% percent of the vote and biking got 34% what percentage of the class voted for swimming?
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what is the equation to (-3,1) and (0,-8)
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Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
The variability at each feeder is 3.168. The difference between the median number of hummingbirds spotted per day at each feeder is approximately how many times the variability? a.4 b.5 c.2 d.2
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Answer:
no its 3
Step-by-step explanation:
Big Reward! (Answer the right answer not just comment).
2(5x-4)=ax+b
Find a value for a and b so that the solution is
A. Has one solution
B. Has no solutions.
C. Infinite Solutions
Answers
B: Has no solution- a=10 b=5
C: Infinite solution- a=10 b=-8
Answer:
A. a = 0, b = 2
B. a = 10, b = 0
C. a = 10, b = -8
Step-by-step explanation:
2(5x-4)=ax+b
10x - 8 = ax + b
When a = 10, b = -8
This equation becomes true for all x. Hence infinite solutions.
When a = 10, b is not -8,
This equation has no solution.
One possible combination could be:
a = 10, b = 0
When a is not 10,
The two sides of the equation become two non parallel lines which will intersect at one point.
A combination could be:
a = 0, b = 2
which of the following are necessary when proving that the opposite side of a parallelogram are congruent?
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A parallelogram is congruent if the corresponding angles are congruent and they form a common triangle. A parallelogram is also congruent if the sides are parallel to each other and can be divided into two common triangles.
Answer: If anyone needs this in more simple terms it would be, “Alternate interior angles are congruent” and “ corresponding parts of congruent triangles are congruent“
Step-by-step explanation: The rules of parallelograms, the quotes are from Ap3x (it registered as a link)
What is the value of fraction 1 over 3x2 + 5.2y when x = 3 and y = 2?
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The value is 5/187 ≈ 0.0267379679
1. Susan’s art class is 9 hours long. How long is her class in minutes?
2. Frank drinks 1 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number or a mixed number in simplest form.
3. A cook needs 4 cups of vegetable broth for a soup recipe. How much is this in pints.
4. Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters?
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2. There is 0.5 pints = 1 cup, so three cups. :)
3. 4(2) = 8 pints.
4. 1,00 millimeters = 1 meter, so 9 meters.
Hope it helps! :)
Susan's art class is 540 minutes long. Frank drinks 3 cups of milk a day. The cook needs 2 pints of vegetable broth for their recipe. The coral reef grew 9 meters taller.
To solve these measurement conversion problems, we'll work through each one step by step:
Susan's art class is 9 hours long. Since there are 60 minutes in an hour, her class is 9 hours × 60 minutes/hour = 540 minutes long.To convert Frank's milk consumption from pints to cups, we use the fact that 1 pint is equal to 2 cups. So, 1 ¹/₂ pints is the same as 1.5 × 2 cups, which equals 3 cups.When converting the 4 cups of vegetable broth to pints, we remember that 2 cups is equivalent to 1 pint. Therefore, 4 cups is equal to 2 pints.The coral reef grew by 9000 millimeters. To find this growth in meters, we use the conversion that 1000 millimeters is equal to 1 meter. Therefore, it grew by 9000 mm × (1 m / 1000 mm) = 9 meters.use the distributive property to rewrite 30d+18
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30d+18 is also the same as 6(5d+3)
7x+39≥53 AND 16x+15>31
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Answer: x \> 2
Just look in the photo
Select all of the angles that have the same measure as angle 1. Assume the lines are parallel.
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Does anyone know these answers
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Two quarters and one dime = 60 cents, and she's dividing it equally between three people (Kylie and two friends), and 60 divided by 3 is 20, so each person would get 20 cents.
Part B:
No, because 2/10 of the money means 2/10 of 60, which is 12, and each person gets 20 cents, not 12 cents.
what is 81% as a fraction in its simplest form
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This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
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C. 45
45% of people chose country or rock music
27%+ 18% =45%