If the diameter of the circle is 42 cm, then the area of the shaded area is
Answers
9514 1404 393
Answer:
781.4 cm²
Step-by-step explanation:
The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.
area of sector = (1/2)r²θ
area of segment = (1/2)r²(θ -sin(θ))
For radius r, the area of the 4 sectors is ...
sector area = 4(1/2)(r²)(π/6) = (π/3)r²
and the area of the 8 segments is ...
segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)
So, the total shaded area is ...
shaded area = r²(π/3 +4π/3 -2√3)
The radius of the circle is 21 cm, so the shaded area is ...
(21 cm)²(5π/3 -2√3) ≈ 781.4 cm²
Related Questions
What is the determinant of k=[6 8]
[0 3]
-18
-8
10
18
Answers
M<2=x+73
Find the value of x in the diagram
Answers
Answer:
x = -8
Step-by-step explanation:
The triangle is isosceles so the two angles are equal
Equation :
65 = x + 73
Subtract 73 from both sides
-8 = x
Check:
65 = -8 + 73
65 = 65
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help ASAP which option I mark brain list
Answers
Answer:the answer would be 4
Step-by-step explanation: you multiplied the 1 by 2, 2 by 4, 3 by 6.
can someone help me?
(2x+8)-(2x+16)
Answers
Answer:
-8
Step-by-step explanation:
(2x+8)-(2x+16)
Distribute the minus sign
(2x+8)-2x-16
Combine like terms
2x-2x +8-16
0x -8
-8
Answer:
-8
Step-by-step explanation:
if y^17-17 is divided by y+1 , the remainder is
Answers
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
-----------------------
b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
THANKS
0
Combine like terms. What is a simpler form of each expression?
3c - 5d - c + 3d
A. -2c+2d
B. 2c-2d
C. 2c+2d
D. -2c-2d
Answers
Answer:
hope this helps
Step-by-step explanation:
give me brainlist
In there Prime who was a better QB
A. Carson Palmer
B. Joe Flacco
C. Jacoby Brisset
D. Matt Ryan
try not to be biased :)
Answers
Answer:
b
Step-by-step explanation:
he won a super bowl and he was able to read the defenses better he also achieved a lot without good receivers. Ryan had julio and Carson had Fitz know about brisket
Complete these ordered pairs for this equation.
(0, ), (-1,), (1, ) y=2x+1
Help
Answers
Answer:
The completed ordered pair are;
(0, 1), (-1, -1), and (1, 3)
Step-by-step explanation:
The ordered pair, (x, y), presents the corresponding values of 'x' and 'y' based on a given relationship, or equation
The given relationship between 'x', and 'y' is, y = 2·x + 1
Therefore, given that the x-values (first of two values, separated by the coma) are given, we have;
In the given incomplete pair (0, ), when x = 0, therefore, y = 2 × 0 + 1 = 1
The complete ordered pair is (0, 1)
Similarly, for (-1, ), we have;
When x = -1, y = 2 × (-1) + 1 = -1
The complete ordered pair is (-1, -1)
We also have for the incomplete pair, (1, )
When x = 1, y = 2 × 1 + 1 = 3
The complete ordered pair is (1, 3)
The completed ordered pair for the equation, y = 2·x + 1, are therefore;
(0, 1), (-1, -1), and (1, 3).
Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream.
Let the variable s represent the amount of videos streamed and let the variable c represent the cost.
For how many video streams will the cost be the same for both companies?
Which system of equations can be used to solve this problem?
{c=42sc=24s
{c=40s+2c=20s+4
{c=40−2sc=20−4s
{c=40+2sc=20+4s
Answers
Answer:
d.
Step-by-step explanation:
C=40+2s, c=20+4s
Can someone please help me solve these two problems?
I’ve been trying for so long
Answers
Answer:
y=17x -25
825 = 17x -25
850 = 17x
x = 850/17
x= 50
means 50h
and sorry second one i don't know
What is the first term for an arithmetic sequence with a12 = 56 and a21=101?
Answers
Explanation:
an = a + (n - 1)d
a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation
Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5
Subtitute d into the first equation
a + 99 = 56
a = -43
a refers to the first term, hence the first term is -43.
Name the figure. Write the area formula. Fill in the area formula.
Answers
Area = Base x Height
Area = 6 x 4
Area = 24 mm2
1+ 4(2x — 3) – x
Simplify the expressuon
Answers
1-12+8x-x (collecting like terms)
-11+7x
7x-11
Find the measure of angle 3 if the measure of angle 8 is 40
degrees.
Answers
Answer:
3=140°
Step-by-step explanation:
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answers
Step-by-step explanation:
Yes, one pair of opposite sides could measure 10 inches. and the other pair could measure 13 inches
Answer:
A
Step-by-step explanation:
Trust the process
⚠️❗️⚠️❗️⚠️ 100 POINTS HELP ME FIND BOTH AREAS TROLLS GET REPORTED AND THEN THE POINTS WOULD BE TAKEN AWAY❗️⚠️❗️⚠️❗️⚠️
Answers
Answer:
Pink: 114 square units
Turquoise: 183 square units
Step-by-step explanation:
Separate the shapes into triangles and rectangles.
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Pink shapeThis comprises of 2 triangles and 2 rectangles.
Area of bottom left triangle = 1/2 × 6 × 6 = 18 square units
Area of top right triangle = 1/2 × 5 × 4 = 10 square units
Area of bottom large rectangle = 6 × 11 = 66 square units
Area of upper small rectangle = 4 × 5 = 20 square units
Total area = 18 + 10 + 66 + 20
= 114 square units
Turquoise shape
This comprises of 1 triangle and 2 rectangles.
Area of triangle = 1/2 × (25 - 9 - 9) × (24 - 16 - 2)
= 1/2 × 7 × 6
= 21 square units
Area of middle rectangle = (25 - 9 - 9) × 16
= 7 × 16
= 112 square units
Area of right rectangle = 2 × 25
= 50 square units
Total area = 21 + 112 + 50
= 183 square units
Answer:
Pink is = 114 square units
Turquoise is = 83 square units
--
The shapes need to be converted into triangles and rectangles so we can use their area formula which is
rectangle = width × lengthtriangle = 1/2 × base × height1. TEALThis shape has one triangle and two rectangles!
So . .
Area of the triangle = A = [tex]\frac{1}{2}[/tex] × b × h
= 1/2 × 7 × 6 = 21² unitsA= middle rectangle = A= L x W
= 7 × 16 = 112² unitsA= right rectangle = L x W
=2 × 25 = 50² unitsIn all = 183² units
2 . PINK
This shape has two rectangles and two triangles
A = bottom large rectangle -- 6 x 11 = 66² unitsA = top right triangle -- [tex]\frac{1}{2}[/tex] x 5 x 4 = 10² unitsA = bottom left triangle -- [tex]\frac{1}{2}[/tex] x 6 x 6 = 18² unitsA = upper small rectangle -- 5 x 4 = 20² unitsIn all = 114² units
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80. How many more cookies will Jessica have Martha? If x represents the number of cookies Jessica started with, complete the statements below.
Answers
Answer:
x^2 - 30 + 224 ≥ 0
the amount of cookies Jessica has more than Martha is at least two
Step-by-step explanation:
J + M = 30
x - 12 < 80
help the volume of the roller is 576cm. Calculate the height and area of the roller if its radius is 8cm.
Answers
Answer:
143.7cm^2
Step-by-step explanation:
Given data
Volume= 576cm^3
Radius= 8cm
The expression for the volume of cylinder is
V= πr^2h
substitute
576= 3.142*8^2*h
576= 3.142*64*h
576= 201.088h
h= 576/201.088
h=2.86cm
The formula for finding the lateral area of a right circular cylinder is:
A=2πrh
substitute
A= 2*3.142*8*2.86
A= 143.7cm^2
Hence the area is 143.7cm^2
Help please...no links...
Answers
Answer:
Using Pythagoras theorem we can find the missing length.
5^2 + 13^2
25 + 169 = 194
√194 = 13.9283882772 = around 13
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → A
It is the second question
Answers
Answer:
C. 6 in
Step-by-step explanation:
Ratio length to width = 3:2
Given width = 4
Finding : Length
Ratio as fraction = 3/2
Fraction with width = x / 4
3/2 must equal x / 4 because they are proportional
3/2 = x/4
Cross multiply:
12 = 2x
x = 12/2
x = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Is this statement true or false?
A few states require drivers to buy car insurance.
O true
O false
Answers
Answer:
Uninsured and underinsured motorists auto insurance coverage is compulsory in many states and it covers if liable party has no or insufficient coverage, and provides coverage for all damages that otherwise would have been paid such as medical expenses, lost income, and pain and suffering.
Step-by-step explanation:
so it is true
A few states require drivers to buy car insurance is true.
What is car insurance?Car insurance is a contract between you and the insurance company that shelters you from financial loss if there's an accident or theft.
In exchange for your paying a premium, the insurance company agrees to pay the losses, minus the deductible, as outlined in your policy.
Auto insurance is a contract between you and the insurance company that protects you against financial loss in the event of an accident or theft.
Hence, A few states require drivers to buy car insurance is true.
Learn more about car insurance here;
https://brainly.com/question/13193741
#SPJ2
What is the slope of a line perpendicular to y=2x
Answers
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope of a perpendicular line just calculate the anti-reciprocal of 2
Slope of the perpendicular line: [tex]-\frac{1}{2}[/tex]
The equation would be:
[tex]y=-\frac{1}{2} x[/tex]
Which of the following is an arithmetic sequence?
0-2,4, -6, 8,...
O 2, 4, 8, 16,...
O-8, -6, -4,-2....
Answers
This is because we are adding the same thing to each term to get the next term. In this case, we're adding 2 each time
-8+2 = -6
-6+2 = -4
-4+2 = -2
and so on. This common 2 we're adding on is known as the common difference.
Subtract. Write your answer in simplest form. 8 7/10- 3 4/10
Answers
Answer:
Exact form: 53/10 , Decimal form: 5.3 , Mixed number form: 5 3/10
Step-by-step explanation:
Answer:
5 3/10
Step-by-step explanation:
8 7/10 - 3 4/10
Subtract the fractions
7/10 -4/10 = 3/10
Subtract the whole numbers
8-3 =5
5 3/10
Need help on this question asap pleasee
Answers
Write the statement that represents 3 times the sum of 2 and 4"?
Answers
Answer:
Step-by-step explanation:
according to the question expression can be written as
=3(2+4)
a+a=
plz I really don't know like i'm stuck how in the frick are you supposed to add to letters to get a number
Answers
Answer:
hmm not sure because you cant rlly solve for anything if there is a number but maybe try a+a=2a? because 2 a's just equal 2a but its still not rlly solving anything but it could work
Step-by-step explanation:
Answer:
it's unsolvable(unless a has a variable)
Step-by-step explanation:
unless you know the value of a already then you cant solve it
The equation p = -30q+q2-400 cuts the x-axis at A(a,b) and B(c,d). Find the sum of a,b,c and d?
Answers
(
5
,
23
)
(
−
2
,
2
)
The test scores for a group
pupils are as folows:
7, 4, 3, 9, 1,8, 4, 5, 4 what is the modal Score?
Answers
Answer:
4
Step-by-step explanation:
has most number of
Find the radius of a circle with a diameter of 10 inches?
Answers
Step-by-step explanation:
Diameter = 2 times the radius or
D = 2r
Solve for r and substitute 10 for D
Answer:
5 inches.
Step-by-step explanation:
Divide the diameter by two to get the radius.