Answers
Step-by-step explanation:
use a little imagination.
the whole thing is a combination of churches and half- circles.
and you know the formula for the area of a circle ?
A = pi×r²
so, the only difficulty is to find the circles and then the radius of each involved circle.
when you look at the picture, the shaded area is almost identical to the lower half of the main circle.
2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.
so, as a first step we will calculate the area of the lower half of the main circle.
the diameter is 24 m, so the radius is half of that : 12m
the area of the large circle is therefore
pi×12² = 144×pi m²
since we only need the (lower) half, we divide this by 2 :
144×pi / 2 = 72×pi m²
the bumps up and down are actually half-circles too. just of smaller circles.
since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.
so, the diameter of the smaller circles is 24/3 = 8 m
and their radius is half of that = 8/2 = 4m
the area of such a small circle is therefore
As = pi×4² = 16×pi m²
and a small half-circle area is then
16×pi / 2 = 8×pi m²
so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.
so, in total I only need to add 1 small half-circle.
Ashaded = 72×pi + 8×pi = 80×pi m²
Related Questions
Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.
what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!
Answers
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
PLEASE HELP!!
Which of the following is a complex number?
Answers
Answer:
A
Step-by-step explanation:
not sure if it is correct
From a circular sheet of radius 18cm , two circles of radii 4.5cm and a rectangle of length 4cm and breadth 1cm are removed; find the area of the remaining sheet.
Answers
Answer: 14 cm
Step-by-step explanation:
Answer:
R=14 cm
total area= πr²
=22/7*196=616 cm²
r2= 3.5 cm
area of the small circles= 2*πr²=2*12.25*22/7=77 cm²
length of rectangle=3
breadth=1
area =lb=3 cm²
area of the small circles+area of rectangle=77+3=80 cm²
remaining area=616-80=536 cm²
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
Answers
2 x 3 x 7 = 42
Answer:
42 = 2*3*7
Step-by-step explanation:
42 can be rewritten as 2*21, for example.
2 is prime. 21 = 3*7.
Then 42 = 2 * 21 is also equal to:
42 = 2*3*7. where these factors are ordered from least to greatest. The prime factors of 42 are {2, 3, 7}.
Can someone help me on this I’m struggling a lot
A) 2/16
B) 5/8
C) 6/8
D) 1/3
Answers
Answer:
B) 5/8
Step-by-step explanation:
Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.
So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:
1/2 * 4 = 4/8
Now, we can add the amounts of the total granola bar that he consumed:
4/8 + 1/8 = 5/8
Because 5/8 cannot be simplified any further, that is our final answer.
Hope this helps :)
what is the circumference of a circle with an area of 20 pi
Answers
Answer:
28.1 units
Step-by-step explanation:
Area of circle= πr², where r is the radius.
Given that the area is 20π,
20π= πr²
Divide both sides by π:
20= r²
Square root both sides:
[tex]r = \sqrt{20} [/tex]
[tex]r = \sqrt{4(5)} [/tex]
[tex]r = ( \sqrt{4} )( \sqrt{5} )[/tex]
[tex]r = 2 \sqrt{5} [/tex]
Circumference of circle= 2πr
Substitute the value of r:
Circumference of the circle
[tex] = 2(\pi)( 2\sqrt{5} )[/tex]
[tex] = 4\pi \sqrt{5} [/tex]
= 28.1 units (3 s.f.)
Find the value of c-6 when c = 12
Answers
Answer:
6
Step-by-step explanation: You subtract 12-6
hey yall i need you guys to answer this ]
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?] P.S ur the best yall
Answers
Answer:
he spent $75.80
Step-by-step explanation:
hope this helps:D
p + 7 /8 = 18/ 12 what does p equal
Answers
Answer:
P = 5/8 or 15/24
Step-by-step explanation:
p = 18/12 - 7/8
p = 36/24 - 21/24
p = 15/24 ( Simplify )
p = 5/8
Answer:
Step-by-step explanation:
[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]
[tex]p=\dfrac{5}{8}[/tex]
solve the mystery. it is between 25 and 40.the sum of the digit is 8.the mystery number is not 26
Answers
Answer:
35
Step-by-step explanation:
Numbers that add up to 8 and number combinations
0 and 8: 80, 08
1 and 7: 17, 71
2 and 6: 26, 62
3 and 5: 35, 53
4 and 4: 44
Since the number must be between 25 and 40, the only possible numbers are 26 and 35
Since 26 is not the answer, the number is 35
What is the value of b? 3 –3 6,561
Answers
Answer:
x=8. Explanation: Factor of 6561 are. 6561=3×3×3×3×3×3×3×3=38. As such, 3x=6561 can be written as 3x=38. Hence, x=8. Step-by-step explanation:
Answer:
The value of b is 3
then B - (n4 – 3)(n4 + 3)
Step-by-step explanation:
Someone plz help me :(
Answers
Answer:
the answer is c :)
Step-by-step explanation:
Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard
Answers
Answer:
It is c
Step-by-step explanation:
The area of a square is 1 square foot . What is the length of each side of the square?
A) 1ft.
B) 2ft.
C)3ft.
D)4ft.
Answers
Answer:
A
Step-by-step explanation:
1ft times 1ft is only 1 ft
Answer:
1ft
Step-by-step explanation:
heyy everyone a little halp here i kinda need it fast sorry
The heights of Rahul, Akash, Meera and Lakshmi are 1.54m, 1500mm,
152cm,1560mm respectively.
a) Arrange their heights in ascending order.
b) Who is the tallest among them?
Answers
Answer:
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Step-by-step explanation:
Rahul- 1.54m
Akash- 1500mm
Meera- 152cm
Lakshmi- 1560mm
Let's start by converting all the measurements to meters.
Rahul is already in meters, so he can just stay the same.
1500mm = 1.5m
152cm = 1.52m
1560mm = 1.56m
So our new measurements are:
Rahul- 1.54m
Akash- 1.5m
Meera= 1.52m
Lakshmi= 1.56m
We can now make our conclusions.
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Answer:
Step-by-step explanation:
Let's convert all the heights to meters:
Rahul 1.54m
Akash 1.50 m
Meera 1.52 m
Lakshmi 1.56m
Now, let's arrange their heights in ascending order (shortest to tallest):
Akash 1.50 m
Meera 1.52 m
Rahul 1.54m
Lakshmi 1.56m
a) 1500 mm, 152 cm, 1.54 m, 1560 mm
b) therefore Lakshmi is the tallest.
ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PS: Only answer #8
Answers
Answer:
Sequence 1: Translate 5 units to the right, and 5 units down
Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right
Step-by-step explanation:
Chose 1 point to focus in, such as (-1, 1)
Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?
Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)
So you originally have: (-1,1) -> (1, -1)
Now move this point one unit to the right, and 1 unit to the left.
It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!
How many times does the graph y = (x + 3)2 touch the x-axis?
x
Answers
Answer:
one
Step-by-step explanation:
y = (x + 3)^2
Start with the parent function y = x^2.
y = x^2 touches the x-axis at only 1 point, (0, 0).
The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.
Answer: one
Answer:
Step-by-step explanation:
To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:
y = (x + 3)^2 = 0
Taking the square root of both sides, we get x + 3 = ±0, or x = -3. As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}. Thus in theory, the graph touches the x-axis in two places, but these two places are identical: (-3, 0)
I need help asap please
Answers
Answer:
[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]
How do I calculate (⅔)³×(4/9)⁴ with powers properties?
Answers
Notice that
4/9 = 2²/3² = (2/3)²
so that
(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴
… = (2/3)³ (2/3)⁸
… = (2/3)¹¹
Which term of ap 30,27,24is0
Answers
Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for his birthday. Which inequality can be used to find W, the number of weeks when Ryan will have more than $300
Answers
Answer:
25x + 75 ≥ 30
Hope this helps!
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answers
Answer:
35
Step-by-step explanation:
Davonte has a yearly gym membership. His yearly
membership fee is $25 plus he must pay $3 each
time he goes to the gym. Last year, Davonte payed
$250 for his gym access. How many times did he
go to the gym?
Answers
Answer:
sorry I don't know about it
answer pls 8 + 40 ÷ (10 × 2)
Answers
Answer:
10
8+40÷20=8+2=10
,.,.......
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answers
Answer:
Perpendicular
neither
[tex]y=\frac{4}{5}x-2[/tex]
Step-by-step explanation:
Which table was created using the equation y=5x-4
Answers
[tex]\sf x-12=14[/tex]
Answers
X - 12 = 14
+12. +12
X = 26
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)
Answers
7249jwnsnjdkwlskjeiwiwo1ñwlld
Answer:
I think it's about 15 to 22.
Step-by-step explanation: So first I checked the length for the unknown number and I added the 12 and 10 together but that didn't work and so i'm just estimating the number for x yo.
Sorry if I didn't helped you yo.
David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the other, and he finds that the image of vertex D is vertex L, the image of vertex V is vertex C, and the image of vertex W is vertex Y. In how many different ways can David write a congruence statement for the triangles? Complete the explanation.
Use the given information to select congruence statements.
△DVW ≅ △
△DWV ≅ △
△VDW ≅ △
△VWD ≅ △
△WDV ≅ △
△WVD ≅ △
There are __ more ways with the order of the triangles reversed. There is a total of __ ways to write a congruence statement.
Answers
Transformation involves changing the position of a shape.
The complete statement is:
There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.
From the question, we understand that:
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
This mean that, the following 6 statements can be used as the congruent statements
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]
[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]
[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]
[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]
[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]
A triangle has 3 sides, and there are 2 triangles in the question.
The number (n) of congruence statements is:
[tex]\mathbf{n = 3^2 = 9}[/tex]
The remaining (r) number of congruent statement is:
[tex]\mathbf{r = 9 - 6 = 3}[/tex]
So, the blanks should be completed with 3 and 9
Read more about congruent triangles at:
https://brainly.com/question/12413243
Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?