Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answers
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
Learn more about the area of the circle here:
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Related Questions
The scale drawing of the tennis court shown below is drawn using a scale of 1 inch (in.) = 12 feet (ft).
2.5 in.
4.25 in.
How long would the net have to be, in feet, to stretch from one side of the court to the other, as shown by the center line?
Answers
Answer:
Your answer would be D. 51
Step-by-step explanation:
Don't get mad if I am wrong. :)
Using the quadratic formula, the solutions to a quadratic equation are given by (equation is in image)
Find the values of a, b and c
a =
b =
c =
Answers
Answer:
a = -3
b = 3
c = 4
Step-by-step explanation:
Let's do this the long way!
[tex]x = \frac{-3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}}{2 \times (-3)}\\-6x = -3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\-6x + 3 = \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\(-6x + 3)^2 = 3^2 - 4 \times (-3) \times 4\\36x^2 - 36x + 9 = 9 + 48\\36x^2 - 36x - 48 = 0\\3x^2 - 3x - 4 = 0[/tex]
So a = 3, b = -3, and c = -4
HOWEVER:
When you look at the terms in the solution originally given, the are all the negatives of what we see here. That however makes sense, as we can simply multiply both sides of the equation to get the results they used:
[tex]3x^2 - 3x - 4 = 0\\-1(3x^2 - 3x - 4) = -1(0)\\-3x^2 + 3x + 4 = 0[/tex]
Please help thank you
Answers
Answer:
B
Step-by-step explanation:
Increasing trials promotes the chance of reaching theoretical.
The state fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
students. Every van had the same number of students in it as did the buses. Find the number of students
in each van and in each bus.
Answers
Answer:
8 students in a van and 22 in a bus
Step-by-step explanation:
lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22
write an equivalent expression for the following using distributive property A(9b+13)
Answers
apply distributive property AKA (A • 9b)+(A • 13)
9Ab + 13A
I hope this helps :)
Four sisters are all 2 years apart in age. The
total of their ages is equal to 36 years. How
old is the youngest sister
Answers
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Help I don’t get this at all and I need a answer fast
Answers
Answer:
3+x = y+6
Step-by-step explanation:
I hope this helps a little i have done algebra in a hot minute
When Max got home from school yesterday, he went into the kitchen to get a snack. There was 3/4 pan of brownies on the counter. Max ate 1/4 of what was left. What part of the pan of brownies did Mark eat?
Answers
Answer:
1/2
Step-by-step explanation:
3/4-1/4=1/2
x + 6 >10 or 3x + 11 ≤ −7
Answers
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
Answers
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps
7 - 6a = -5 -8a solve please
Answers
a=-5/2
Step-by-step explanation:
-6a=-5-8a
-6a+8a=-5-8a+8a
2a=-5
a=-5/2
Answer:
a = -6
7 -6a = -5 -8a
- 6a = - 5 - 8a - 7
- 6a + 8a = - 5 - 7
2a = - 12
2a/2 = - 12/2
a = -6
Which equation is graphed in the picture.
PLEASE HELP!!!!!
Answers
Answer:
2x + 3y = 6
Step-by-step explanation:
circle the staement below 1530 and 12530
Answers
Answer:
1530 < 12530
Step-by-step explanation:
i12530 is a bigger number than 1530
Answer:
what statement?
There are 160 adults and 275 children at a zoo. The zoo makes a total of $5,470 from the entrance fees, and the cost of an adult and a child to attend is $27, how much does it cost each for a parent and a child? Let a represent an adult. Letc represent a child. Enter a system of equations to represent the situation then solve the system. The system of equations is and The adult tickets cost $ and the child tickets cost $
Answers
they will have 200$ each
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
11, 21, 31
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
21,
11,
31
Help me out to get this math problem solve
Answers
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
C= 3x2 + 10x - 32.7
Answers
Answer: True
Step-by-step explanation:
3 x 2 = 6
12.6 = 6x
6x = 5y
5y = 32
+
Answer:
C is -321 I hope this helps ^^
how to solve this?/answer?
Answers
Answer:
there's no answer for that because ot doesn't make sense
Four vertices of a rectangle are A(−3, −5) , B(−1, −5) , C(−1, −1) , and D(−3, −1) . Use the Segment tool to draw the four sides of the rectangle.
Answers
Answer:
well, I don't have the computer in front me with this question on it, but i can explain how you would do it.
all points, or in this case vertices, are written like this : (x , y)
the x-axis is the one that lies flat and the y-axis is the one going up and down.
in this graph, the y-axis and x-axis are more than likely not centered. so where the y-axis intersects the x-axis is known as the origin. you will start at the origin for plotting all points.
to plot point A : start at the origin and count to the left 3, and then down 5 and thats point A
for point B : start at the origin, count left 1 and then down 5, that's point B
point C : start at the origin, count left 1 and then down 1, that's point C
point D : count left 3 and then down 1, that's point D
after plotting the points, you just need to play "connect the dots" and make the shape a rectangle.
Start at point A, go right point B, up to point C, left to point D then down back to point A again
Step-by-step explanation:
I hope this helps :)
This function can be used to determine the number of bacteria in a culture h hours after the culture was started.
f(x) = - 10(3)^h
Which statement best describes the meaning of the equation f(2) = 90 ?
Answers
Answer:
The statement means that after 2 hours, there are 90 bacteria in the culture.
Step-by-step explanation:
The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.
Which statement best describes the meaning of the equation f(2) = 90 ?
The statement means that after 2 hours, there are 90 bacteria in the culture.
What property represents (-3)+3=0?
Commutative or Additive Inverse
Answers
Answer:
additive inverse
Step-by-step explanation:
What is an equivalent expression for 7(2x) +6(2y) -5(4x)-9(y)?
Answers
14x + 12y - 20x - 9y
3y - 6x
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answers
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?
Answers
C - 200 = 6p
(c - 200)/6 = p
b 350 = 6p + 200
150 = 6p
25 = p
I will give brainiest to whoever answers correctly !!
Answers
Write an equation to determine the total length in kilometers (h)(h)left parenthesis, h, right parenthesis of Josh's hike.
Answers
Answer:
Step-by-step explanation:
H
Point A is in Quadrant III. The ordinate in this point is _______.
A. both – and +
B. negative (-)
C. positive (+)
D. zero
Answers
Answer:
if im right its negative
Negative I’m pretty sure sorry if I’m wrong
WILL MARK BRAINIEST PLEASE PLEASE HELP!!!
Answers
you just do pythagorean’s theorem,
then find the missing degree. 35° =.611
rounded to the nearest tenth is 0.60
It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?
Answers
Answer:
$25.50
Step-by-step explanation:
Answer:
(40)(15/100)=6
(40)(25/100)=10
10+6=16
orginal price at 40
After discounts 16
40-16=24
so you can buy it in 24$
Hope it helped you
Graph and find the area of the figure with the vertices (-3, 0), (1, 4), (2, 0).
A = 20 Units^2
B = 10 Units^2
C = 12 Units^2
Answers
Answer:
B
Step-by-step explanation:
The points with these coordinates form a triangle with a side 5 units and height 4 units. It' area is equal to 5*4÷2=10units^2