Answers
Answer: 4410 [tex]ft^2[/tex]
Step-by-step explanation:
To find the area of a square or rectangle, all you need to do is multiply the length times the width:
L × W = A
The lengh is 100, and the width is 50
100 × 50 = 5000
However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.
First, let's get the two circles over with. To find the area of a circle, use this formula:
A = π[tex]r^2[/tex] r is the radius, which in this case, is 6
A = π[tex]6^2[/tex]
A = 113 This isn't the exact answer, the exact answer would be 113.0973...
Now let's multiply the area of one of those circles by 2, since we have 2 circles:
113 × 2 = 226
Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:
26 × 14 = 364
The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:
5000 - (226 + 364) = 4410 [tex]ft^2[/tex]
50 feet multiplying by 100 feet equal to 5,000 sq ft
Related Questions
4/11 as a decimal rounded 3 decimal places
Answers
Answer:
0.364 is the answer
at the end of a party there was one half pizza left over seven friends decided to divide the pizza equally. what fraction of the whole pizza did each friend have?
Answers
Answer:
Each friend only got 1/14 of the pizza.
Step-by-step explanation:
Each friend gets one slice of pizza, and there are 7, so you'd think just do 1/7 and that is the answer. However, it is talking about after the party where only have of the pizza is left. So you have to do 1/7*1/2 which equals 1/14.
Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
Range:
Interquartile range:
Variance:
Standard deviation:
Answers
Range: 19
Interquartile range: 6.5
Variance: 44.86
Standard deviation: 6.70
Step-by-step explanation:
Given set:
27, 25, 20, 15, 30, 34, 28, 25.
(i) Range is the difference between the largest value and smallest value in a given data.
In the data above, the;
largest value = 34
smallest value = 15
Range = largest - smallest
Range = 34 - 15
Range = 19
(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.
This should be done after ordering the given data in ascending order.
Ordering the above data gives:
15, 20, 25, 25, 27, 28, 30, 34
In the data above;
lower half = 15, 20, 25, 25
upper half = 27, 28, 30, 34
Find median (Q₁) of the lower half
Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.
Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5
Find median (Q₃) of the upper half
Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.
Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29
Interquartile range = Q₃ - Q₁
Interquartile range = 29 - 22.5
Interquartile range = 6.5
(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:
=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e
mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8
mean(x) = [204] / 8
mean(x) = 25.5
=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e
15 - 22.5 = -7.5
20 - 22.5 = -2.5
25 - 22.5 = 2.5
25 - 22.5 = 2.5
27 - 22.5 = 4.5
28 - 22.5 = 5.5
30 - 22.5 = 7.5
34 - 22.5 = 11.5
=> Next, find the square of each of the results obtained above. i.e
(-7.5)² = 56.25
(-2.5)² = 6.25
(2.5)² = 6.25
(2.5)² = 6.25
(4.5)² = 20.25
(5.5)² = 30.25
(7.5)² = 56.25
(11.5)² = 132.25
=> Next, add all the results above together as follows;
56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314
=> Now, obtain the variance by dividing the result above one less than the number of numbers.
The number of numbers is 8. One less than this gives 7.
Therefore,
Variance = 314 / 7
Variance = 44.86
(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.
Therefore,
Standard deviation = √variance.
Variance has been calculated above.
Standard deviation = √44.86
Standard deviation = 6.70
Match the graph with its equation.
Answers
Answer:
sorry I can't help you I can't see all the eqaution
Step-by-step explanation:
Which two teams have the same ratio of wins to losses?
Answers
Answer:
Lightning and Eagles
Step-by-step explanation:
14:7 can be rewritten as 2:1 (Factor out 7)
12:6 can be rewitten as 2:1 (Factor out 6)
Both are 2:1
-- Gage Millar, Algebra 2 Tutor
Answer:
D.
Step-by-step explanation:
when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning
Emilie can complete a job in 10 minutes, while Erica can complete the same job in 15 minutes. How long would it take them to complete the job working together? (In minutes.) Rate of work problem.
Answers
9514 1404 393
Answer:
6 minutes
Step-by-step explanation:
The rates add when expressed in terms of jobs per minute.
1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6
The two together can complete 1/6 jobs per minute, so it will take them 6 minutes to complete 1 job.
plzzz help
A bag of marbles has 10 red marbles, 4 green marbles, and 6 blue marbles. A marble is randomly drawn from the bag before another marble is drawn, without replacement. What is the probability that a green marble and then a red marble are selected? Enter your answer as a fraction in simplest form in the box
Answers
Answer:
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
a man weekly pay is $x. he spends 1/2 of his pay on food and 1/3 on rent
Answers
answer 40qfijjjjjmwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwStep-by-step explanation:
Tessellations
How many lines of symmetry does the figure have?
a. Lines of symmetry: 0
b. Lines of symmetry: 1
c. Lines of symmetry: 2
d. Lines of symmetry: 3
Please select the best answer from choices provided
Answers
Answer:
B. Lines of symmetry: 1
Step-by-step explanation:
I calculated it logically
Answer:
b on edge
Step-by-step explanation:
Can someone answer this please
Answers
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
The ratio of the side lengths of figure A and figure B is 1:3. If the volume of figure A
is 5 m^3, what is the volume of figure B?
45 m^3
30 m^3
135 m^3
15 m^3
Answers
Answer:
D)15m³
Step-by-step explanation:
the given ratio tells us that the Volume of figure-B is three times as much as the Volume of figure-A
so we acquire:
[tex] \displaystyle A _{ \text{figure - B}} = A _{ \text{figure - A}} \times 3[/tex]
substitute the given volume of the figure-A:
[tex] \displaystyle A _{ \text{figure - B}} =5 {m}^{3} \times 3[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{figure - B}} =15 {m}^{3} [/tex]
hence, our answer is D)
Match each value on the left with the number on the right that includes that value.
Answers
this is ez
2 thousands = 72.000
6 hundreds = 1.549.606
4 millions = 4.630.114
9 ten thousands = 298.278
1 hundred thousand = 177.009
Simplify the expression.
(-5i)(-3i)
Answers
Answer:
15i
Step-by-step explanation:
negative * a negative is a positive
-5i * -3i = 15i
Answer:
15i
Step-by-step explanation:
i cant figure this out, help fast please
Answers
Answer:
398.4
Step-by-step explanation:
i don't know how to explain i asked gogle
Courtney used 14 sq ft of wrapping paper to wrap 2 same-size packages. What is the greatest number of same-sized packages. Courtney can wrap using 56 sq ft of wrapping paper?
Answers
Write the equation in point-slope form of the line that passes through (1, 4) and has a slope of 4/3
Answers
Answer:
y - 4 = (4/3)(x - 1)
Step-by-step explanation:
point slope form is
y - y1 = m(x - x1)
m is the slope
(x1, y1) is a point on the line
----------------------------
for m = 4/3 and (x1, y1) = (1, 4)
y - 4 = (4/3)(x - 1)
consider this quadratic equation x2+2x+7=21 the nuber of positive solutions to this equation are blank. the approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is blank.
Answers
Answer:
x²+2x+7-21=0
x²+2x-14. =0
x²+2x. =14
x²+2x+1. =14+1
(X+1)². =15
X+1. =+/-√15
X=-1+/-√15
X=-1+3.872983346207
=2.872983346207(greatest solution) round it as possible
X=-1-3.872983346207
=-4.872983346207
brainley i give if answer fast
Answers
Answer:
The answer is 9/7 because you know 1 is 7/7, so it's like 7/7 and 2/7. This means it is 7/7 plus 2/7, which makes it 9/7. So the answer is 9/7 hope it helped!
Step-by-step explanation:
gave her a 4.50$ tip. The tip was 9% of the cost of the . Write an equation to find b, the cost?
Answers
Answer:
$50
Step-by-step explanation:
Here's a good formula I use for finding percentages.
4.50÷9x100=50
I had a calculator confirm this. The answer is $50.
And also, thanks so much for 50 points, that's really generous.
Our of the 800 participants in a marathon, 120 are running to raise money for a cause. How
many participants out of 100 are running for a cause?
Answers
Answer:
15
Step-by-step explanation:
[tex]\frac{120}{800}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply 120*100 = 800x
12000= 800x
15 = x
Find the circumference use 3.14 for pie
Answers
Answer:
31.4 is the answer......
Step-by-step explanation:
d=2×r2×510cmcircumference=πd
3.14×1031.4 cmstay safe healthy and happy.Kayla swam 375 yards in 5
minutes. What is the average number
of yards she swam per minute
Answers
Answer:
75 yards
Step-by-step explanation:
375/5=75
If f(x) = g(x) + 4, find g(x) for f(x) = 3x + 2
Can someone please help?
Answers
Answer:
see below
Step-by-step explanation: 5 23 15 03
f(x) = g(x) + 4 find g(x) for f(x) = 3x + 2
sub f(x) = 3x + 2 into f(x) = g(x) +4
3x + 2 = g(x) + 4
3x + 2 - 4 = g(x) + 4 - 4
3x - 2 = g(x)
9514 1404 393
Answer:
g(x) = 3x -2
Step-by-step explanation:
Solve the given equation for g(x):
f(x) = g(x) +4
f(x) -4 = g(x) . . . . . subtract 4
(3x +2) -4 = g(x) . . . . . use the definition for f(x)
g(x) = 3x -2 . . . . . . . . . . . . . simplify
Pls pls helppp I’ll mark you brainliestttt
Answers
The spinner is divided into eight equal sections.
Red
Red
Blue
Red
Blue
Green
Green
Blue
What is the probability that the spinner will land on a green sectie
1/8
b
1/4
C С
1/3
d
1/2
Answers
After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each. If she paid a total of $30, how much did each pretzel cost? There were 5 family members
Answers
1.50 • 5 = 7.5
7.5 - 30 = 22.5
22.5 / 5 = 4.5
so in conclusion, those are some expensive a** pretzels.
Answer:
4.50
Step-by-step explanation:
water + pretzels =total
5(1.50)+ 5x =30
7.50+5x=30
5x=22.50
x=4.50
Nora made 3 gallons of lemonade. How much is that in pints
Answers
Answer:
24 pints because. 8 pints in each gallon
Answer:
24 pints
Step-by-step explanation:
There are 8 pints a gallon so if you simply multiply 3 by 8 you get 24 and 24 pints is your answer.
Have a good day and here’s a funny comic just for fun!
Zach's parents put $1,500 in her bank account for college tuition. At an interest rate of
8.25% compounded weekly, what will be the balance after 18 years? (Make sure you
answer is in dollars and rounded to 2 decimal places)
Answers
Answer:
After 18 years, Zach's account balance will be $ 6,614.66.
Step-by-step explanation:
Given that Zach's parents put $ 1,500 in her bank account for college tuition at an interest rate of 8.25% compounded weekly, to determine what will be the balance after 18 years the following calculation must be performed:
1,500 x (1 + 0.0825 / 52) ^ 18x52 = X
1,500 x 1.00158653 ^ 936 = X
6,614.66 = X
Therefore, after 18 years, Zach's account balance will be $ 6,614.66.
Four times Audrey's age plus 7 is Parag's age. Parag is 51. What is Audrey's age?
Answers
Answer:
Audrey is 5 years and 9 months old
Step-by-step explanation:
51 divided by 4 = 12.75
12.75 - 7 = 5.75
75% of 12 is 9
Audrey is 5 years and 9 months old
A clear file box shaped like a rectangular prism is modeled below. The shaded part represents one base of the box. A formula for finding the volume of a rectangular prism is V = Bh. Which equation can be used to find B, the area of the shaded base of the box in square inches? (A) B = 1/2(19)(14) (B) B = 19 + 14 (C) B = (19)(14) (D) B = 2(19) + 2(14)
Answers
Answer:
C. B = (19)(14)
Step-by-step explanation:
Given:
length (l) = 19 in.
width (w) = 14 in.
height (h) = 11 in.
Formula for volume of the rectangular prism = Bh
Base area (B) = l*w
Base area (B) = (19)(14) in.²
Formula for finding base area: B = (19)(14)