56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12
Answers
Answer:
the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards
Step-by-step explanation:
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your welcome!!!
The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given
a circular fountain,
radius of fountain = √47 yards
area of fountain = πr²
area = π(√47)²
area = 147.58 square yards.
and fountain surrounded by a circular path,
which form a concentric circle with fountain,
the radius of the circular path from center of the fountain = √56 yards
area of the path = total area with radius √56 - an area of fountain
area of the path = π(√56)² - 147.58
area of the path = 175.84 - 147.58
area of the path = 28.26 square yards
Hence the area of the fountain is 147.58 square yards,
area of path = 28.25 square yards.
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Related Questions
Mark was working on the long jump competition, and he was able to jump 9 3/4 feet. Chris jumped 7/8 as far as Mark. write and solve the equation that will help you fight how far Chris jumped. explain the steps you took to solve problem. THIS URGENT PLEASE HELP!!
Answers
Answer:
10 5/8
Step-by-step explanation:
9 3/4 + 7/8 = 9 6/8+7/8=
10 5/8
The distance jumped by Chris in total would be as follows:
[tex]10\frac{5}{8}[/tex]
Find the distance
Distance is denoted as the space that one covers from a particular place to the other.
Given that,
The distance jumped by Mark [tex]= 9\frac{3}{4}[/tex] feet
The distance jumped by Chris [tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]
So,
The total distance covered by Chris would be:
[tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]
[tex]= \frac{7}{8} + \frac{39}{4}[/tex]
[tex]=[/tex] [tex]\frac{(7 + 78)}{8}[/tex]
[tex]= \frac{85}{8}[/tex]
[tex]=[/tex] [tex]10\frac{5}{8}[/tex]
Thus, [tex]10\frac{5}{8}[/tex] is the correct answer.
Learn more about "Fraction" here:
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A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?
Translate the problem into 2 equations.
Let the x be the number of $10 bills and y be the number of $20 bills.
Answers
Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
Match the expression with its name. 9X4 - 3x + 4
A. cubic binomial
B. quadratic monomial
C. not a polynomial
D. fourth-degree trinomial
Answers
Answer: D
Step-by-step explanation:
Simplify the expression (-502) square root 0
Answers
Answer:
[tex]-502\sqrt 0 = 0[/tex]
Step-by-step explanation:
Given
[tex]-502\sqrt 0[/tex]
Required
Simplify
[tex]-502\sqrt 0[/tex]
----------------------------------------
[tex]\sqrt 0 = 0[/tex]
----------------------------------------
So:
[tex]-502\sqrt 0 = -502 * 0[/tex]
[tex]-502\sqrt 0 = 0[/tex]
100POINTS! SHOW WORK OR I REPORT
Answers
AM = 65
AB = 12x+40
AM + BM = AB
65 + X = 12x+40
65-40 = 12x-x
15 = 11x
x = 1.36
But in the question he should gave you BM
If M is the midpoint then then AM is AB/2
[tex]\\ \sf\longmapsto \dfrac{12x+40}{2}=65[/tex]
[tex]\\ \sf\longmapsto 12x+40=65(2)[/tex]
[tex]\\ \sf\longmapsto 12x+40=130[/tex]
[tex]\\ \sf\longmapsto 12x=130-40[/tex]
[tex]\\ \sf\longmapsto 12x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{12}[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]
The equation for line g can be written as y = 2/9x + 10.
Line h, which is parrellel to line g, includes the point (-3, -1) what is the equation
Answers
Answer:
y=2/9x-1/3
Step-by-step explanation:
since line h is parallel to line g, this means that line h has the same slope as line g.
line h's slope would be 2/9.
to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:
y=2/9x+b
-1=2/9(-3)+b
Then, solve for b:
-1=2/9(-3)+b
-1=-6/9+b
b=-1/3
so, the equation for line g is: y=2/9x-1/3
Measure these angles.
a)
b)
Answers
Answer:
Step-by-step explanation:
Angle A = 55 degrees. Angle B = 61 degrees.
The measure for part a is 55 degree.
The measure for part b is 61 degree.
What is Acute Angle?An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.
An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).
Given:
from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.
Also, we know that Angles which are less than 90 degree is acute angle.
So, the both angles are less than 90.
The measure for part a is 55 degree.
and, the measure for part a is 61 degree.
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How do I solve questions like this?
Answers
Answer:
90
Step-by-step explanation:
90
im pretty sure the anwer is 90
A line has a gradient of -2
A line that is parallel to this will have a gradient of ...
Answers
Given:
A line has a gradient of -2
A line that is parallel to this will have a gradient of ..... .
To find:
The missing value.
Solution:
Gradient of a line is also known as slope of the line.
We know that the slopes of the parallel lines are equal.
A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.
Therefore, the missing value is -2.
is 6 a factor for 71
Answers
Answer:
no its not kpfkansnsbsdhdbdb
How could I write 3 as a fraction?
Answers
Answer:
[tex]3/1[/tex]
Step-by-step explanation:
You can put any number as a fraction by simply placing a one in the denominator spot.
Which point on the diagram shows the minimum value of y?
Answers
Answer:
Step-by-step explanation:
ok
Cook's bakery is making 15 cakes. Each cake contains 2 cups of flour. How many cups of flour (F) are needed to make all the cakes?
A) 2/F = 15
B) F/2 = 15
C) 15/2 = F
D) F = 15 + 13
Answers
Answer:
i think its C pls mark brainliest tho
Step-by-step explanation:
Answer: C
Step-by-step explanation: So it's asking you how many cups of flour in total it is suppossed to be multiplication but since there is no multiplication the only other answer that makes sense it C.
88 = h + 36 I need help
Answers
Answer:
h=52
Step-by-step explanation: You subtract 36 from both sides and it cancels on the right but on the left you do regular subtraction and you get that h equals 52
Answer:
h = 52
Step-by-step explanation:
h + 36 = 88
subtract 36 from both sides
h = 52
Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution
Answers
x >/= 15
She must work 15 hours or more to earn at least $120
What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °
And are we all struggling in geometry and super stressed out and behind or is it just me
Answers
Answer:
What is the value of y?
y = ✔ 10
mAngleJKM = ✔ 106°
mAngleMKL = ✔ 74°
Step-by-step explanation:
Answer:
1: 10 2: 106 3: 74
Step-by-step explanation:
5. 16^0 = * please i need help and i need the answer today not trying to rush but please thanx
Answers
Answer: 1
Step-by-step explanation:
16⁰ = 1
Anything to the power of zero is 1.
Cargo shipping, an automobile manufacturer is preparin shipment of a cars andvtrucks on a cargo ship that can carry 21,600 tons
The cars weigh 3.6 tons each and the trucks weihgt 7.5 tons each. 1. Wtite thevequation thatvrepresents the weight constraint of a shipment let be the number of cars and be the numbers of trucks.
Answers
Answer:
3.6c + 7.5t <= 21,600
Step-by-step explanation:
Let c = number of cars, and let t = number of trucks.
c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.
3.6c + 7.5t <= 21,600
10 lemons cost £1. 20 find the cost for 4
Answers
0.48p
Step-by-step explanation:
1.20÷10=0.12
0.12×4=0.48
put the wrong answer ignore this
what is the domain of the function represented by this graph?
Answers
Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18}
Answers
Justin says that if the diameter of any circle is 15 feet then its radius must 10
be 7.5 feet. Is Justin correct?
Answers
2+2?
5+6?
3+0? Pl tew awser
Answers
2+2= 4
5+6= 10
3+0= 3
Draw a double bar graph for the given information.
Class 5th 6th 7th 8th 9th
No. of Boys 20 40 25 35 20
No. of Girls 30 35 20 25 40
Answers
Answer:
Draw a double bar graph for the given information.
Class 5th 6th 7th 8th 9th
No. of Boys 20 40 25 35 20
No. of Girls 30 35 20 25 40
I hope it is helpful...
i need help with
−5 × −8 =
Answers
Answer:
40
Step-by-step explanation:
-5 * (-8) = 40
Answer:
40
Step-by-step explanation:
Because multiplication of subtract will be added
Josh bought a video game that was 20% off. He paid $45 for the video game. How much was the game ORIGINALLY?
Answers
Answer:
The original price of the game was $54.
For the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).
Answers
Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
If the length of a rectangle is 12cm and the area is 48 what is the breadth and perimeter?
Answers
Answer:
32
Step-by-step explanation:
width- 48/12= 4
(12+4)2
=32
hope that helps if it does plese mark as brainliest.
Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.
Answers
Answer: $580
Step-by-step explanation:
Equation for this problem: 250 + 0.06c = p where c = commission and p = pay
If the sales for this employe was $5500, we can fill out the equation:
250 + 0.06 × 5500 = 580
The employee is paid $580.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
why would it be advantageous to borrow oneself into the sun if you live in an internal zone
Answers
Answer:
So you would not be carried away by the tides
Step-by-step explanation:
hope this is what u want