Answer:
We know that the ratio of length and breadth of a rectangular playground is 3:2
Then if the length is L, and the breadth is B, we have the relationship:
L = (3/2)*B
Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:
L' = L + 2m
B' = B + 2m
The area is the product between the area and the breadth, then the area is:
A = B'*L'
A = (L + 2m)*(B + 2m)
And remember that L = (3/2)*B
Then we get:
A = ((3/2)*B + 2m)*(B + 2m)
And the area is 2816 m^2
Then we have:
A = ((3/2)*B + 2m)*(B + 2m) = 2816 m^2
Now we can solve the equation:
((3/2)*B + 2m)*(B + 2m) = 2816 m^2
(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2
(3/2)*B^2 + 5m*B = 2816 m^2 - 4m^2 = 2812m^2
Then we can write:
(3/2)*B^2 + 5m*B - 2812m^2 = 0
We can solve this if we use Bhaskara's formula:
[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]
One solution is negative, so we can discard that one, then we only take the positive:
B = (-5m + 130m)/3 = 41.67m
And L = (3/2)*B
L = (3/2)*40.7m = 62.5m
The breadth is 41.67 meters and the length is 62.5 meters.
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is
$34.58, and the cost for using 24 HCF is $53.83. What is the cost for using 19 HCF of water?
Answer:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
---------
The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.
---
You have 2 points: (28,39.49) and (47,65.14)
slope = (65.14-39.49)/(47-28) = 1.35
y = mx+b
39.49 = 1.35*28 + b
b = 1.69
Step-by-step explanation:
C(x) = 1.35x + 1.69
--------------------------
What is the cost for using 32 HCF of water?
C(32) = 1.35*32 + 1.69
C(32) = $44.89
Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period
Answer:
23,200
Step-by-step explanation:
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 24 marlins were caught, how many swordfish were caught? Complete the ratio table.
Answer:
39
Step-by-step explanation:
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
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Inverse of functions:
Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.
Answer:
I'm not sure sorry!! :(
Step-by-step explanation:
help me pls i need help
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs
Answer:
b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample
Fill in the y-value for each box in the t-chart using the equation below !?
WILL BRAINLIST IF CORRECT!
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
How many solutions does this equation have?
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan):
2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02.
a. Find a 95% two-sided CI on the mean number of CAT scans performed each month at this clinic.
b. Historically, the mean number of scans performed by all clinics in the system has been 1.95. If there any evidence that this particular clinic performs more CAT scans on average than the overall system average?
Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]
[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]
[tex]\overline{x}=[/tex] 2.08
Now, we estimate standard deviation:
[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]
[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]
s = 0.1564
For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:
df = 12 - 1
df = 11
[tex]\alpha[/tex] = 1 - 0.95
α = 0.05
[tex]\frac{\alpha}{2}=[/tex] 0.025
Then, t-score is
[tex]t_{11,0.025}[/tex] = 2.201
The interval will be
[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]
2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
i need help finding the answer for this question . asap . 15 points
Answer:
-2ab^5 (1+2a^2b)
Step-by-step explanation:
help, please This is due in 5min's
Answer:
51
Step-by-step explanation:
The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.
At the zoo 1/9 of the park is set aside for the monkeys. There are 4 different monkeys, each with an equal-sized area. What fraction of the zoo is set aside for the one monkey area?
Answer:
1/4
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
1/9 divided by 4
pls helps me solve
and this part is because it needs to be 20 characters long
Answer:
k = 22/3
Step-by-step explanation:
Cross multiply.
6 * k = 4 * 11
Divide both sides by 2.
3k = 22
Divide both sides by 3.
k = 22/3
answer: k= 22/3 have a good day
(3x + 3)(2x + 6) =
(2x + 1)(x - 2) =
(x - 3)(x + 4) =
(2x - 4)(x - 5) =
(x + 3)(x + 2) =
(x + 2)(x + 2) =
(x + 3)(x - 3) =
(2x³ + 1)(x - 4) =
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
hangisi gürültüye sebep olur?
A- Motor sesi
B- Su sesi
C- Kuzu sesi
Answer:
a motor sesi..........
It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?
Answer:
2 workers = 6 days
4 workers = 3 days
Step-by-step explanation:
If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.
Pls give me the answer.
Answer:
To what question?
Step-by-step explanation:
Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant
Answer:
20 cookies
Step-by-step explanation:
Range of a data set plotted on a box plot = the maximum value - the minimum value
The maximum value is indicated by the whisker to your extreme right = 25
The minimum value is indicated by the whisker to your extreme left = 5
Range = 25 - 5 = 20
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answer:
it will take her 16 days
Step-by-step explanation:
10 minus the product of 5 in the number G is more than 80
Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green
Answer:
12 gallons of blue 4 gallons of yellow
Sally says it is possible to draw a triangle with these side length
5cm, 5cm, 12cm
Is she correct?
Explain how you know
Step-by-step explanation:
The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.
i really need help with this!
Note: we can see that if we complete the circle, the radius is 15 cm.
First find the area of the square.
15*15=225 cm^2
Now find the area of the white area, which is a quarter circle.
S PR = 225π/4
The area of the shaded area should then be 225-(225/4)π cm^2
If we take 3/14 for π, then we get answer
225-176.625
=48.375 cm²
( 8 x 10^4) - ( 4 x 10^2) give the answer in standard form
Answer:
7.96x10^4
Step-by-step explanation:
You will get 796000 and you just move the decimal point infront to get 7.96x10^4
what are the equal factors to 10 to the second power
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
Help&EXPLAIN
==============
Answer:
A = 108 in.²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
✔️Area of rectangle 1 = L*W
L = 8 in.
W = 6 in.
Area = 8*6 = 48 in.²
✔️Area of rectangle 2 = L*W
L = 10 in.
W = 4 in.
Area = 10*4 = 40 in.²
✔️Area of rectangle 3 = L*W
L = 5 in.
W = 4 in.
Area = 5*4 = 20 in.
✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²
Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)
Step-by-step explanation:
A bro WHAT IS that I NEED POINT
The equation is solved algebraically and graphically above.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
3x + 6 = 6
The given equation is -3x + 6 = 6
3x = 6 - 6
3x = 0
x = 0
Graphically, it can be solved as shown in the image attached.Therefore, the equation is solved algebraically and graphically above.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
