Answers
Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
Related Questions
Subtract 5x2+2x-11 from 3x2+8x-7.Express the result as a trinomial.
Answers
Answer:
-2x^2 +6x +4
Step-by-step explanation:
3x^2+8x-7 - (5x^2+2x-11)
Distribute the minus sign
3x^2+8x-7 - 5x^2-2x+11
Combine like terms
3x^2 - 5x^2+8x -2x+11-7
-2x^2 +6x +4
-3x - 5=16 what does x equal?
Answers
Answer: -7
Step-by-step explanation:
-3x - 5 = 16 (add 5 to 16)
-3x = 21 (divide by -3)
x = -7
Answer:
-7
Step-by-step explanation:
-3x-5=16
add 5 to both sides
-3x=21
divide both sides by -3
x=-7
What is m
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...
So the value of X is 50 degree
Look at the attached picture
Hope it will help you
Good luck on your assignment...
Should the graph of x+3y<-8 be shaded above or below the boundary line ?
Answers
Answer:
It will be below the boundary line
Can someone help me with this question?
Answers
Answer:
nope
Step-by-step explanation:
lol this is a joke dont take it srsly
Solve the equation. Then check your solution.
n/54 = 4/9
a. 24
b. 2/3
c. 6 4/9
d. 121 1/2
Answers
[tex] \frac{24}{54} = \frac{4}{9} \\ we \: have \: to \: cancel \: with \: 6 \\ \frac{4}{9} = \frac{4}{9} [/tex]
hope it helped :-)The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?
y = 15x + b
Answers
Answer:
21
Step-by-step explanation:
Equation of the given line y = 15x + b.
Points passing through the above line (6.4, 117) and (6.6, 120)
If these point pass through the given line.
These point should satisfy the equation.
plugging in value of one of the point (6.4, 117) in the line y = 15x + b
we have
117 = 15*6.4 + b
=> 117 = 96 + b
=> 117 - 96 = b
=> b = 21
Thus, value of b in the given equation is 21.
Answer:
21
Step-by-step explanation:
When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21
Also, I got it right on ed
Solve for missing angle, show your work : HELP!
Answers
Answer:
105
Step-by-step explanation:
The interior angles must sum to 360
360-91+82-82 = 105
100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS
Answers
Answer:
840[tex]cm^{2}[/tex]
Step-by-step explanation:
8×6×15=720
5×6×4=120
720+120=840
Answer:
V= 840cm^3, V=800cm^3
Step-by-step explanation:
First you want to calculate the volume of the entire imaginary prism, 12×15×6
=1080,
afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.
12-8=4 5-15=10
Now calculate the volume of the bite, 4×10×6
=240
Now take the bite out of the sandwich, 1080-240
= 840
Follow the same steps, though this time the sides of the "bite" are given.
10×12×8
= 960
4×5×8
= 160
960-160 = 800 cm
The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)
Answers
Answer:
0,-1
Step-by-step explanation:
Answer:
It is (0,-1)
Step-by-step explanation:
I just did it no kapp
f(h) = 45+
20
h +0.5
g(h) = 45 + 33(0.5) (h+0.5)
Answers
Steps:
Question 1:
Step 1: Multiply both sides by h+0.5.
Step 2: Factor out variable f.
Step 3: Divide both sides by h^2+0.5h.
Question 2
Let's solve for g.
Step 1: Divide both sides by h.
Answers:
1: f=45h+42.5/h²+0.5h
2: g=16.5h+53.25/h
Please mark Brainliest
Hope this helps.
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Answers
Answer:
A is TRUE (44 in²*2=88 in²)
B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)
C is TRUE if x(x-3)=88==>x²-3x-88=0
D is TRUE :
x²-3x-88=0
Δ=9+4*88=361=19²
==>x= 11 or x=-8 (excluded for <0)
E is FALSE for 11*4≠88
Step-by-step explanation:
correct me if i am wrong
A,C, D.
because i got it right!
∠a and ∠b are complementary angles. ∠a measures 55 degrees
What is the measure of ∠b?
Answers
Answer:
<b = 35
Step-by-step explanation:
Complementary angles add to 90 degrees
a + b = 90
55 + b = 90
Subtract 55 from each side
55+b-55 = 90-55
b = 35
Answer:
<b=35
Step-by-step explanation:
Complementary means 90 degrees
and 90-55= 35 degrees
Could u pls show me step by step
Answers
Answer:
Area = 36 sq. units
Step-by-step explanation:
The 3 values you need to solve for the area are the top base length, bottom base length, and height.
Top base length = 7 . It's the distance between point A and B.
Bottom base length = 11. It's the distance between points C and D.
Height = 4. It's the perpendicular distance from the top to the bottom base.
The formula to solve the area of a trapezoid (or trapezium, I'm American) is:
A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]
Put in the numbers above for the unknowns and you will get this:
A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]
Simplify:
A= [tex]\frac{1}{2}(4)(18)[/tex]
A = 2(18)
A = 36
So the answer is 36. Hope I helped!
Answer:
36
Step-by-step explanation:
top base= B(x)-A(x)= 10-3= 7
bottom base= C(x)- D(x)= 12-1= 11
height= A(y) - D(y) = B(y)- C(y)= 5-1=4
Area= 1/2(7+11)*4= 36
Part A: is x = 6 a solution of the equation 8x + 8 = 56? Explain. Part B: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?
Answers
Answer:
Part A: yes . Part B: minus 24
Step-by-step explanation:
Part A
8x + 8 = 56
8x = 56-8
8x = 48
x = 48 / 8
x = 6 , YES!
Part B
Suppose x = 9 and find y:
8(9) + 8 + y = 56
80 + y = 56
y = 56 - 80
y = -24
So we have to add -24 to the equation. The new equation: 8x + 8 - 24 = 56
Type the slope-intercept equation of the line that passes through the points (5,7) & (0,6)
Answers
How?
(Look at image. The app is called Desmos)
[tex] 8.4^3 \times 8.4^2 = [/tex]
help
Answers
Answer: 41821.19424
Step-by-step explanation:
a hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height after 12 minutes.
Answers
Answer: 450 ft.
Step-by-step explanation:
h = 2250 - 150*12
h = 2250 - 1800
h = 450
The height after 12 min is 450 ft
Answer:
450
Step-by-step explanation:
-2250 - 150 x 12
-2250 - -1800
-450 put in postive
-276
Hope this helps
A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?
Answers
It will take almost 6 years to depreciate the value of the car to 10100 dollars.
What is Depreciation?Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.
Initial amount of the car = 15700 dollars
Depreciating percent = 7.5% = 7.5/100 = 0.075
Final amount = 10100 dollars
Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,
A = P(1 + r)ⁿ
where A = 10100 dollars, P = 15700 dollars, r = -0.075.
10100 = 15700 (1 - 0.075)ⁿ
10100 / 15700 = (1 - 0.075)ⁿ
0.6433 = (0.925)ⁿ
Taking logarithm on both sides,
㏒ 0.6433 = ㏒ (0.925)ⁿ
We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)
㏒ 0.6433 = n ㏒ (0.925)
n = ㏒ 0.6433 / ㏒ (0.925)
n = 5.658 ≈ 6 years
Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.
Learn more about Depreciation here :
brainly.com/question/14682335
#SPJ3
which of the following three sets of lens could be used to form a right triangle
39, 15 and 36 .
12, 8 and 4
.13, 17 and 9
Or none of the above
Answers
Answer:
(39, 15, and 36)
Step-by-step explanation:
If your talking about the first number being the hypotenuse, then the answer would be correct
Which expression is equivalent to
Answers
Answer:
A. [tex]x^\frac{5}{3}y[/tex]
Step-by-step explanation:
which of the following describes the zeros of the graph...
Answers
Answer:
d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1
Step-by-step explanation:
Explanation:-
Given polynomial equation
⇒ - x⁵ + 9 x⁴ - 18 x³
⇒ - x³ ( x² - 9 x + 18 )
⇒ - x³ ( x² - 6 x - 3 x + 18)
⇒ - x³ ( x(x - 6) - 3( x - 6))
⇒ - (x-0)³ (x-6)(x-3)
∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1
30 points!
The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.
Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470
Answers
Answer:
47 miles per hour
Step-by-step explanation:
Answer:
The unit rate for the amount of miles driven every hour is is 1:47
Step-by-step explanation:
188 / 4 = 47
282 / 6 = 47
376 / 8 = 47
470 / 8 = 47
Note that the symbol / is the equivalent of a division sign in math.
can anyone rewrite quadratic function in standard form?
Answers
Answer:
hey I believe standard form would look like this: f(x) = a(x - h)^2 + k
this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.
I think H and K are the vertex
hope this is close to what your looking for.
Step-by-step explanation:
I think it's x^2+6x-18
If you wanted to solve this system by elimination, what would I multiply the second equation by to eliminate the x's when the 2 systems are added? 4x- 3y = -5 and 21 + 6y = -15
4
-6
3
-2
Answers
Answer:
You simply multiply the second equation by -4/21
Answer:
There is no x in the second equation
In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.
Year National Average
Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the median in the national average teachers’ salary between the years 1960 and 2010.
$8,626.00
$50,207.00
$15,970.00
$23,668.50
Answers
Answer:
$23,668.50
Step-by-step explanation:
Median is just the middle
Which two numbers... add to 5 and multiply to -14?
Answers
Answer:
-2 and 7
the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.
Hope this helps
Step-by-step explanation:
how do you find volume if you only have the surface area
Answers
To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you're given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.
What does measuring the spread of a data set tell us, and why is that significant?
Answers
Step-by-step explanation:
Measure of spread is used in describing the variability in a sample.
Examples of measure of spread are: Mean, Median and Mode.
A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.
Answer:
Measuring the spread of a data set tells us how far are the values of data set to respect the mean. For example, large mean absolute deviation (MAD) value indicates that the values of data set are very different from the mean, i. e., they are very spread. Therefore, the mean is not representative of the data. On the other hand, in a small spread case, the mean is representative.
Tollows.
1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost of babysitting.
When finished writing the equation, graph your line and answer the questions.
Equation: _y=5*x+3
If the babysitter made 48 dollars, how long did they babysit for?
Answers
Answer:
The equation is y=5x+3. If she made 48 dollars, she babysat for 9 hours.
Step-by-step explanation:
y= $48
48=5x+3
48-3=45
45=5x
45/5=9
x=9
To plot on graph, put one point at point (0,3), then, go up 5, over 1, and plot another point. Keep doing that until you have a few points and then use a ruler ot connect the dots.
