4. As shown in Figure 5.111 to the right if the
two small semicircles, each of radius 1 unit
with centres O' and O'' are contained in the
bigger semi-circle with center O, So that
O', O and O" are on the same line, then
what is the area of the shaded part?
Answers
Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = [tex]\frac{1}{2}(\pi r^2)[/tex]
= [tex]\frac{1}{2}\pi (2)^{2}[/tex]
= 2π
Area of semicircle with center O' = [tex]\frac{1}{2}\pi (1)^2[/tex]
= [tex]\frac{\pi }{2}[/tex]
Area of semicircle with center O" = [tex]\frac{\pi }{2}[/tex]
Now substitute these values in the formula,
Area of shaded part = [tex]2\pi - (\frac{\pi }{2}+\frac{\pi }{2})[/tex]
= [tex]\pi[/tex]
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
Related Questions
There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the ratio of the number of pears to the number of apples is 2:5. Find the number of pears in the box.
Answers
Answer:
Pears: 30
Step-by-step explanation:
Constant:
3x + 5x + 2x = 150
10x = 150
x = 15
Multiply ratio with constant from above:
oranges : apples
3 * 15 : 5 * 15
45 : 75 ==> 45 oranges: 75 apples
pears : apples
2 * 15 : 5 * 15
30 : 75 ==> 30 pears: 75 apples
Check:
45 oranges + 75 apples + 30 pears = 150 fruits
what is the value of x?
Answers
Answer:
94
Step-by-step explanation:
i put protractor to screen
Answer:
x = 184 degrees
Step-by-step explanation:
7 sided shapes add up to 900 degrees.
148 + 140 + 136 + 142 + 150 = 716
900 - 716 = 184
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
If f(x) = x² + 5, which expression represents f(x + 1)?
A) 2x + 6
B) x² + 6
C) x³ + 6
D) x² + 2x + 1
E) x² + 2x + 6
Answers
Answer:
i dont know sorry
Step-by-step explanation:
2x+7-5x<28 inequality
Answers
Answer:
3x / 2
5x/9 + 10
6x - 4
x = 3y + 8
Associative Pr
operty of addition
3H + 4D + 5C = 85
(6 + t) / 3x
n + 7 <= 13
1 =< x <= 10
x = 6 or x = 1
x > 7
Step-by-step explanation:
Answer:
x > 7
Step-by-step explanation:
2+-5 = -3
-3x+7 < 28
28-7 = 21
-3x<21
21/ -3 = -7
x > 7
Which equation represents a linear function?
Answers
Answer: Equation 3
Step-by-step explanation:
It does not have any exponents, meaning it's linear
Answer:
equation 3
Step-by-step explanation:
no exponents
*BRAINIEST & 25 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
*irrelevant answers will be reported*
Answers
Answer:
The coordinates are (-5,5)
Step-by-step explanation:
Here, we want to find the coordinates that divides the given line segment using the given ratio
Mathematically, the equation to use is the internal division formula
That will be;
(x,y) = (nx1 + mx2)/m + n , (ny1 + my2)/m + n
where m = 1
n = 4
(x1,y1) = ((-8,8)
(x2,y2) = (7,-7)
Substituting these values, we have
(x,y) = (4(-8) + 1(7))/(1+4) , (4(8) + 1(-7)/(1 + 4)
(x,y) = (-32 + 7)/5, (32 -7)/5
(x,y) = (-25/5), (25/5)
(x,y) = (-5,5)
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?
A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain
Answers
Miami gets 6.12 more inches of rain.
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68
While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Hence, For Miami;
= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68
= 25.02
For Tampa;
= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69
= 18.90
Thus, Find difference as;
= 25.02 - 18.90
= 6.12
Therefore, Miami gets 6.12 more inches of rain.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars? (
Answers
Answer:
1- 42%
2- 47%
3- 40%
4- 62%
parking lot 4 had the greatest percentage of blue cars
Step-by-step explanation:
Answer:
Lot 4 had the greatest percentage of blue cars.
Step-by-step explanation:
15 of the 36 cars in lot 1 were blue = 41.66 %
43 of the 92 cars in lot 2 were blue = 46.73 %
12 of the 30 cars in lot 3 were blue = 40%
32 of the 52 cars in lot 4 were blue = 61.53 %
Find the area of the figure below
Answers
Answer: 29
Step-by-step explanatio?
light travels 5.88 trillon miles in one year. how far will it travel in one month? plz help me!!
Answers
Answer:
four hundred ninety billion
Step-by-step explanation:
since there are 12 months in a year you need to divide 5.88 trillion by 12
Hope this helps!! Pls mark me brainliest!!
Here are six number cards -4,-2,-1,5,6,8
arrange the cards into three pairs with the same total
Answers
Answer:
5 and 6 and -1
6 and 8 and -4
5 and 8 and -2 and -1
Step-by-step explanation:
They all add up to 10.
The trick is to first figure out if you can combine 5 6 or 8 together, then use the negative numbers to subtract as needed to reach you number. If you add 5 and 6, that is 11, but -1 can make 10. When you add 8 and 6, that is 14. But good thing you have the -4 to make 10. You start with the smallest number found from adding together two numbers from the positive pile like 5 and 6.
You can make other combinations as well. 11 could work too.
please click heart to give thanks :) c
The pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.
What is addition?Addition is a mathematical operation which used to count the things when are together. The addition of two positive integers are greater than both of them while for negative integers it is less than both of them.
Given that,
The different cards having numbers on them are as below,
-4, -2, -1, 5, 6, 8.
In order to select them into three pairs having the same sum make the pair as follows,
Add each positive number to each of the negative numbers and then select the pair of numbers having the same sum.
Thus, it is obtained as,
-4 + 8 = 4
-1 + 5 = 4
-2 + 6 = 4
Hence, the required pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.
To know more about addition click on,
https://brainly.com/question/29464370
#SPJ2
-8 x f(0) +4 x g(-8)=
Answers
Explanation:
Use the graph when it is referring to f(x) and g(x) to find those answers.
-8 * 1 + 4 * -6 = -32
The following exchange rate is given £1 = 1.15 euros. Convert €7 into euros
euros
Answers
Answer:
7.
Step-by-step explanation:
The number given in the question €7 is already in euros. Therefore, there is no need to convert into euros again, as it's already in euros.
~
Answer:
2
Step-by-step explanation:
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Between which two numbers will you find 5.634 x 10^2?
A. 0.0562 and 0.0563
B. 0.0563 and 0.0564
C. 562 and 563
D. 563 and 564
Answers
Answer:
its B. 0.0563 and 0.0564
Answer:
I'm so sorry about your situation! The answer would be D
Step-by-step explanation:
5.634 times 10^(2)= 563.4
Select the two figures that are similar to each other.
Answers
Answer:
The green and the yellow
Step-by-step explanation:
2:4 to 4:8
Answer:
Step-by-step explanation:
If you multiply the values of the green rectangle by 2, you get the values of the yellow rectangle.
Therefore these two figures are similar.
Green : yellow : : 1 : 2
Below is an geometric sequence.
240, 120, 60, A, B, C, ...
Find the values of A, B, and C.
Answers
first three values are seen going down by half
the angles of a triangle are described as follows: angle a is the largest angle; it measure is twice the measure of Angle b. The measure of Angle C is 10 more than one-third of angle B. Fins the measurements of the three angles in degrees.
(Angles in a triangle add up to 180 degrees.)
Answers
Answer:
Angle A = 102°
Angle B = 51°
Angle C = 27°
Step-by-step explanation:
angle A = 2b
angle B = b
angle C = 1/3 b + 10
Angle A + Angle B + Angle C = 180
2b + b + 1/3 b + 10 = 180
3 1/3 b + 10 = 180
10/3 b = 170
b = 51
a = 2b = 102
c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27
help!!! 6th grade math i will give brainliest
Answers
Answer:
Value 16 and exponential is 2 over 4
Step-by-step explanation:
Answer:
2^4 so A
Value=16
Step-by-step explanation:
2x2x2x2=2^4
2x2x2x2=16
2x2=4
2x2=4
4x4=16
The perimeter of the rectangular pool is 80 feet.The length of the pool is 10 feet more than twice of the width.Find the length and the width of the pool.Find the length and the width of the pool.
Answers
Length= 30
Explanation: photo
Anyone know the answer ?
Answers
Answer:
Decrease by 2 and 3
Then on x increase by 2 and 3
Step-by-step explanation:
To get system B, the
equation. The solution to system B
equation in system A was replaced by the sum of that equation and
v times the
v the same as the solution to system A
Answers
Answer:
This is confusing what are you looking for?
Step-by-step explanation:
Figure B is the image of Figure A when reflected across line ℓ. Are Figure A and Figure B congruent
Answers
Answer:
If they are reflection. I think they are congruent
Step-by-step explanation:
60/ 7.55
(divided)
show work please
Answers
Answer:
I think the answer is 7.9
Step-by-step explanation:
u can change them into a mixed number and divide them
Helpppppplpppo! Plz plz hurry
Answers
Answer: it’s no solution inconsistent
Step-by-step explanation:
Multiply the top by -2
The x’s and y’all cancel out
0=-6
=0 which means no solution I think
x - 3.5 = -3.1
solve for x.
Answers
Answer:
0.4
Step-by-step explanation:
The numbers -3.5 and -3.1 have a difference in value of 0.4
An easy way to look at this is to remove the decimal points. 35 - 31 is equal to 4, so that would make the difference 0.4.
Because both numbers are negative, the x must be a positive.
Therefor, 0.4 - 3.5 = -3.1
NEED HELP ASAP!!!!OFFERING BRAINIEST!!!
Answers
Answer: None of the above
Step-by-step explanation:
When solving an equation and the final line reads 2 equals 2 what is the solution
Answers
Answer:
1
Step-by-step explanation:
when solving a mathematical equation and you arrive at the final line which states,
[tex]2=2[/tex]
the next step should be dividing 2
[tex]= \frac{2}{2}\\= 1[/tex]
the answer or solution to that equation is 1.
You and your friends are having a race, but since you are faster than he is, you decide to give him a head start. He starts 10 m In front if the starting line, while you start on the starting line. You run at 6 meters/ second, while your friend runs at 5.5 meters/ second. After how many seconds will you and your friend be same distance from the starting line?
Answers
Answer:
the number of seconds that you and your friend would be have the similar distance from the starting line is 20 seconds
Step-by-step explanation:
The computation of the number of seconds that you and your friend would be have the similar distance from the starting line is shown below:
As we know that
Speed = Distance ÷ Time
SO,
Time = Distance ÷ speed
= 10 meters ÷ difference in speed
= 10 meters ÷ (6 meters per second - 5.5 meters per second)
= 10 meters ÷ 0.5 meters per second
= 20 seconds
hence, the number of seconds that you and your friend would be have the similar distance from the starting line is 20 seconds
Simplify: 2k(14) + 7(2k) - 2
Answers
Answer:
42k-2
step by step equation:
calculator apps
I need help with these questions
Answers
Answer:
5 , 6, 2
Step-by-step explanation:
cause they da same