The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answers
Answer:
Area of the shaded region = 16(π - 2) in²
Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in
Step-by-step explanation:
Since, BDC is a quarter of the circle with radius = 8 in.
Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]
= [tex]\frac{1}{4}(64)\pi[/tex]
= 16π in²
Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(8)(8)[/tex]
= 32 in²
Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD
= (16π - 32)
= 16(π - 2) in²
Therefore, area of the shade region = 16(π - 2) in²
Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]
= [tex]\frac{8\pi }{2}[/tex]
= 4π in.
Length of the diagonal of a square = (Side)√2
= 8√2 in
Perimeter of the shaded region = Length of arc BD + Length of diagonal BD
= 4π + 8√2
= 4(π + 2√2) in.
Related Questions
Given the statement "r varies jointly as s and t". if r =16 when s = 4 and t =6, what is the constant of the variation?
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pls help!!
what would the answer be when rounded to one significant figure.
Answers
That should be right my bad if it’s not
Determine the value of x in the figure shown.
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Hope it will help you..............
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.
The two triangles above are similar. Find the value of x. Be sure to explain your steps.
Answers
Answer:
8
Step-by-step explanation:
We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.
Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side
4/10=x/20
Cross multiply: 10x=80
x=8
Answer:
x = 8 inchesStep-by-step explanation:
As the triangles are similar, their corresponding sides will have same ratio:
left short side /right short side = left long side / right long sideor simpler
s₁/s₂ = l₁/l₂Substitute values to find the missing one:
4/x = 10/204/x = 1/2x = 4*2x = 8The missing side is 8 inches long
Plzzz someone help me with these 2 problems I will give you 33 points
Answers
You must bye one hundred eggs with 100 cents. There are three types of eggs and you will need to buy all three types of eggs.Goose eggs must be bought in multiples of twenty. 1 chicken egg costs 5 cents 1 duck egg costs 1 cent 20 goose eggs costs 1 cent How many chicken, duck and goose eggs do you need to buy?
Answers
Answer:
1 duck egg
19 chicken eggs
80 goose eggs
Step-by-step explanation:
Given that:
Goose eggs must be bought in multiples of 20
20 goose eggs = 1 cent
1 chicken egg = 5 cents
1 duck egg = 1 cent
Total amount to spend = 100 cents
Total number of eggs to purchase = 100
In other to ensure that 100 cents is spent and 100 eggs is purchased :
Using logical analysis :
1 cent is spent on duck egg, so 1 duck egg is purchased
Goose eggs (sold in multiples of 20) for 1 cent each ; 4 cents is spent on (20 * 4) = 80 goose eggs
100 - (4 + 1) = 100 - 5 = 95 cents is spent on chicken eggs ; 95 / cost per chicken egg = 95 / 5 = 19 chicken eggs
Hence,
1 duck egg = 1 cent
(20 *4) goose eggs = 80 eggs ; 4 * 1 = 4 cents
19 chicken eggs = 19 * 5cent = 95 cents
(1 + 80 + 19)eggs = (1 + 4 + 95)cents
100eggs = 100centa
I WILL GIVE BRAINLIEST
What is 10,000,000 written as a power of 10?
710
810
107
108
Answers
Answer:
[tex]10^7[/tex]
Step-by-step explanation:
There are [tex]7[/tex] zeroes in the number [tex]10,000,000[/tex]. Therefore, [tex]10,000,000[/tex] can be written as [tex]\fbox{$10^7$}[/tex].
*Any number written as [tex]10^n[/tex] will be equal to [tex]1[/tex] followed by [tex]n[/tex] zeroes.
Answer:10^7
Step-by-step explanation:
h(n) = 3^n+3; Find h (3n)
Answers
Answer:
[tex] h(3n) = 27^{n}+3 [/tex]
Step-by-step explanation:
[tex]h(n) = 3^n+3 \\ \\ plug \: n = 3n \\ \\ h(3n) = 3^{3n}+3 \\ \\ \red{ \bold{ h(3n) = 27^{n}+3 }}[/tex]
Please help me ASAP !!!
Answers
Answer:
B
Step-by-step explanation:
the first number x in (X,Y) is the domain and the second number y is the range. Domain is the set of all x values and range is the set of all y values
line segment AB is on the coordinate plane and has endpoints at A(-4,-8) and B(-5,-4) what is the length of the line segment to the nearest hundredth? A: 8.5 B: 4.12 C: 3.0 D: 2.24
Answers
Answer:
D, 2. 24
Step-by-step explanation:
write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form
Answers
Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y=mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Let me know if you have any questions, hope this helps! (:
What is 352 beats in 4 2/5 minutes please help and tell me step by step please
Answers
Answer:
352/4.4 =80
Got it?
Please give me Brainly
when you spin a 2D triangle, it looks like a 3D pyramid. true or false
Answers
Answer:
False
Step-by-step explanation:
HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?
Answers
Answer:
he will pay $133.10
Step-by-step explanation:
She ran 52.16 seconds per 400 meters how many seconds did it take her to run 100 meters?
Answers
Answer:
13.04
Step-by-step explanation:
since 100 is 1/4 of 400, you divide 52.16 by 4
simplify 2x+1-2x/2x+1
Answers
Answer:
1 = 2+ 348/46 (56+35)
Step-by-step explanation:
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.
Given △DEF, which is not equal to cos(F)?
sin(F).
sin(D).
tan(F).
cos(D).
Answers
Answer: tan(F)
Step-by-step explanation:
Answer: C). tan(F)
Step-by-step explanation:
The length of a rectangle is 5 more than the width. The perimeter is 98.
What is the length, width and area of the rectangle? Explain
Answers
Answer:
Width=22, Length=27, Area= 594
Step-by-step explanation:
Let the width if the rectangle be represented by x
If the length is 5 more than the width
Length =x+5
The perimeter is given by
2(x)+2(x+5)=98
2x+2x+10=98
4x=88
x=22
Width=22
Length=27
Area= 22*27=594
please help!! ill give ten points
Answers
Answer:
its f
Step-by-step explanation:
Can someone help me pleas
Answers
Answer:
2)6h+9c+6
Step-by-step explanation:
3(2h+3c+2)
3*2h=6h
3*3c=9c
3*2=6
6h+9c+6
The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.
Answers
Answer:
₹ 1290Step-by-step explanation:
The total surface area of the room = 2(LW + WH + LH)
TSA = 2(9*5 + 9*6 + 5*6)
TSA = 2(45 + 54 + 30)
TSA = 2(129)
TSA = 258
Hence the total surface area of the room is 258m²
If 1m² = ₹ 5
258m² = 5(258) = ₹ 1290
The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290
if m=7 then what is 5m-6
Answers
Answer:
29
Step-by-step explanation:
5(7)-6
35-6
29
Explanation: you substitute m with 7, so
5(7)-6
5 • 7 = 35
35 - 6 = 29
Solve for n: 2n = n + 3
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2n=n+3 Equation/Question
Step 2
2n=n+3 Simplify
2n=n+3
Step 3
2n=n+3 Subtract n
answer
n=3
The value of n is given by the equation n = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2n = n + 3 be equation (1)
On simplifying the equation , we get
Subtracting n on both sides of the equation , we get
2n - n = 3
n = 3
Therefore , the value of n is 3
Hence , the equation is n = 3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Can any kind soul help me ASAP
The blue is the shaded region
Answers
Answer:
200π/3 cm^2
Step-by-step explanation:
The answer is explained in the above photo
please help me 2/5+ -2 1/4
Answers
Answer:
-1.85
Step-by-step explanation:
775 earning 4.25% compounded annually after 12 years
Answers
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answers
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answers
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answers
Answer: 4
Step-by-step explanation:
Answer:
PZ = 4
because P is the centre of XYWZ
=> PZ = 1/2.XZ
WP = 1/2. WY
=> PZ + WP = 1/2.(XZ + WY) = 1/2.24 = 12
=> PZ = 12 - WP = 12 - 8 = 4
please help it's due today
Answers
Answer:
one pound of meat is $3.89
Step-by-step explanation:
93.36/8=11.67
11.67/3=3.89
Answer:
it is now by this
x^2 by jai ieye play free fire boyahh