how would i find the area of the blue region and the perimeter of the outer window frame
Answers
Answer:
The diameter is 6. The radius is 3. For the half of the orange circle.
The area of the half of the small orange circle is = pi*r*r = pi*3*3.
The diameter is 24. The radius is 12.
The area of the half of the light orange circle and the other colors is = pi*r*r = pi*12*12
The area of dark orange, light blue, purple and green figures = pi*12*12 – pi*3*3 = 135*pi
To get the area of the blue figure we need to divide 135*pi into ¼ and you will get the area of the blue figure.
The area of the blue figure =( ¼ )*135*pi *(1/2) = ¼ *1/2 = 1/8
The area of the blue figure is = 135pi / 8
B) outside perimeter of the window frame = 28 +pi*14 = 71.98
Hope this helps you :)
Related Questions
Which one and what do I put in the box(s)
Answers
Answer:
Option A i the right option.
First blank is 110-[tex]10\sqrt{61}[/tex] or 10(11-[tex]\sqrt{61}[/tex])
Second blank is 31.898
Let me know if anything didn't make sense.
Step-by-step explanation:
So a diagonal through a rectangle makes two triangles. The question wants to know how much walking is saved walking down the diagonal vs walking along two sides that make the diagonal. in this case the two non diagonal sides walked are 60 paces and 50 paces.
A diagonal through a rectangle specifically makes a right triangle, so to find the diagonal we can use the pythagorean theorem.
c^2 = 60^2 + 50^2
c = [tex]\sqrt{60^2 + 50^2}[/tex]
c = [tex]\sqrt{6100} = 10\sqrt{61}[/tex]
if you don't get how to simplify a radical like that let me know.
Anyway, looking at the answers you can see right away the second option says no approximation is necessary. Well, you need to approximate square root of 61, so we can say the second answer is not right. So now we need to know what to fill in for option 1.
it wants the distance saved, well we know the distance of the diagonal is [tex]10\sqrt{61}[/tex] Hopefully you can see the disctance walking the two other sides is just adding them up so 50+60=110.
Now, to find the difference, that is subtraction. So subtract the smaller number from the larger number. You do need to remember with a right triangle, the sum of the to non diagonal (hypotenuse) sides are always longer than said hypotenuse. so that's 110-[tex]10\sqrt{61}[/tex]. That is the exact form. Or you could use 10(11-[tex]\sqrt{61}[/tex]) They are the same.
Then just plug that into a calculator for a decimal approximation.
Find the missing segment in the image below
Answers
Answer:
4
Step-by-step explanation:
First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.
In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so
(6+y)/y = x/2
Since x is clearly made up of 3 and 2, we can say 3+2=x=5
(6+y)/y = 5/2
multiply both sides by y to remove a denominator
6+y = 5*y/2
multiply both sides by 2 to remove the other denominator
12+2y = 5*y
subtract both sides by 2y to isolate the y and its coefficient
12 = 3y
divide both sides by 3 to isolate the y
y=4
Find the domain and range of the function, f(x)=sin|x|
Answers
Answer:
[tex]Domain = (-\infty,\infty)[/tex]
[tex]Range = (0,1)\\[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sin|x|[/tex]
Solving (a): The domain
There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction
Hence, the domain is:
[tex](-\infty,\infty)[/tex]
Solving (b): The range
The minimum of a sine function is 0
The maximum of a sine function is 1
So, the range is:
[tex](0,1)[/tex]
Segment addition and midpoints
Answers
N is the midpoint of MO and NO is 5, so MN would also be 5
MP = MN + NP = 5 + 9 = 14
If Y / 4 - 12 = 3.5, what is the value of y?
Answers
Hey guys please help me please and thank you
Answers
Answer:
Option B, 5/16
Step-by-step explanation:
f(4) = 5•(1/2)⁴
= 5•(1/2⁴)
= 5•(1/16)
= 5/16
help with summer school
Answers
Answer:
19
Step-by-step explanation:
3a -2^3 ÷b
Let a = 7 and b = 4
3*7 -2^3 ÷4
PEMDAS says exponents first
3*7 -8 ÷4
Multiply and divide from left to right
21 - 2
Subtract
19
A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service.
a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service?
b) What percent of customers subscribe to neither the Internet service nor the phone service?
Answers
9514 1404 393
Answer:
a) 51%
b) 49%
Step-by-step explanation:
a) P(A∪B) = P(A) +P(B) - P(A∩B)
P(A∪B) = 42% +32% -23% = 74% -23% = 51%
51% subscribe to one or the other.
__
b) P(¬A∩¬B) = P(¬(A∪B)) = 1 -P(A∪B) = 1 -51% = 49%
49% of customers subscribe to neither service.
A washer and a dryer cost $858 combined. The washer costs $92 less than the dryer. What is the cost of the dryer?
Answers
Answer:
383
Step-by-step explanation:
Let dryer be d.
(d + 92) + d = 858
2d + 92 = 858
-92 = -92
---------------------
2d = 766
---- ------
2 2
d = 383
The dryer is $383
Hope this helped.
Answer:
$475
Step-by-step explanation:
The dryer costs x.
Since the washer costs $92 less than the dryer, then the dryer costs x - 92.
Combined, they cost $858.
x + x - 92 = 858
2x - 92 = 858
2x = 950
x = 475
Answer: $475
if PQR measures 75° , what is the measure of SQR
Answers
Answer:
PQR+SQR=180°(angles in a triangle)
75°+SQR=180°
SQR=180°-75°
SQR=105°
Plane P is a cross-section of the solid below. What shape is the cross section?
A. rectangle
B. not enough information
C. hexagon
D. pentagon
Answers
Answer:
C. Hexagon
Step-by-step explanation:
The answer is clearly C. Hexagon. This is because the question is referring to the shape shown on Plane P as if it were 2D. Therefore, the shape with 6 sides is a hexagon and cannot be anything else.
The shape is the cross-section is a hexagon.
What is a hexagon?In geometry, a hexagon may be described as a closed two-dimensional polygon with six aspects. The hexagon has 6 vertices and 6 angles also. Hexa means six and gonia approach angles.
All hexagons have six facets, regardless of the sort of hexagon it is. which means that normal hexagons, irregular hexagons, concave hexagons, and convex hexagons all have six facets.
Learn more about hexagon here:-https://brainly.com/question/1615720
#SPJ2
Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?
Suzanne’s at 2 inches per week
Suzanne’s at 1.5 inches per week
Megan’s at 3 inches per week
Megan’s at 2.5 inches per week
Answers
Answer: Megan's at 3 inches per week
Answer: D (Megan's at 2.5 inches per week)
Step-by-step explanation: Its right.
Simplify the given expression.
Answers
Answer:
8x-21
----------------------
(2x-7)(2x+7)
Step-by-step explanation:
7 4
----------- + ------------
4x^2 -49 2x+7
Factor ( notice that it is the difference of squares)
7 4
----------- + ------------
(2x)^2 - 7^2 2x+7
7 4
----------- + ------------
(2x-7)(2x+7) 2x+7
Get a common denominator
7 4(2x-7)
----------- + ------------
(2x-7)(2x+7) (2x-7)(2x+7)
Combine
7 +4(2x-7)
----------------------
(2x-7)(2x+7)
7 +8x-28
----------------------
(2x-7)(2x+7)
8x-21
----------------------
(2x-7)(2x+7)
Answer:
(8x - 21) / (2x + 7)(2x - 7)
Step-by-step explanation:
7 / (4x^2 - 49)+ 4 / (2x + 7)
= 7 / (2x + 7)(2x - 7) + 4 / (2x + 7)
LCM = (2x + 7)(2x - 7) so we have
(7 + 4(2x - 7) / (2x + 7)(2x - 7)
= (8x - 21) / (2x + 7)(2x - 7).
find the value of the trigonometric ratio
Answers
Answer:
3/5
Step-by-step explanation:
sinA = opposite/hypotenuse = BC/AC = 21/35 = 3/5
Step by step explanation need it
Answers
Answer:
8/17
Step-by-step explanation:
The sine of an angle is defined as the opposite side to the reference angle divided by the hypotenuse.
The side opposite the angle is always the side not connected to the reference angle. In this case the opposite side = ZY
The hypotenuse = XZ
Sin(X) = ZY/XZ
Sin(X) = 1634 = 8 / 17
Can u please help I got 1 minnnn lefttttt
Answers
Answer:
26 cm
Step-by-step explanation:
P = 2a + 2b
a = side
b = base
Answer:
The area=base×height
=10×4
=40cm^2
perimeter=2(length+breadth)
I think to find the height Dc you use the pythagoras theorem of
Dc^2=de^2+ce^2
=√16+9
=5
therefore the perimeter will be
p=2(5+10)
=20cm
I hope this helps and sorry if it's wrong
Find the length of the missing side
Answers
Answer:
Step-by-step explanation:
Side=AC=9[tex]\sqrt{2}[/tex]
Side AB= x
Hypotenuse =CB= y
Side AB = 9[tex]\sqrt{2}[/tex]
Hypotenuse CB = 36
Consider an x distribution with standard deviation o = 34.
(a) If specifications for a research project require the standard error of the corresponding distribution to be 2, how
large does the sample size need to be?
B) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size need to be?
Answers
Part (a)
The standard error (SE) formula is
[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
where n is the sample size. We're given SE = 2 and sigma = 34, so,
[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\2 = \frac{34}{\sqrt{n}}\\\\2\sqrt{n} = 34\\\\\sqrt{n} = \frac{34}{2}\\\\\sqrt{n} = 17\\\\n = 17^2\\\\n = 289\\\\[/tex]
So we need a sample size of n = 289 to have an SE value of 2.
Answer: 289========================================================
Part (b)
We'll use SE = 1 this time
[tex]\text{SE} = \frac{\sigma}{\sqrt{n}}\\\\1 = \frac{34}{\sqrt{n}}\\\\1*\sqrt{n} = 34\\\\\sqrt{n} = 34\\\\n = 34^2\\\\n = 1156\\\\[/tex]
Because we require greater precision (i.e. a smaller SE value), the sample size must be larger to account for this. In other words, as SE goes down, then n must go up, and vice versa.
Answer: 1156Find the value of x.
X 9 9 7 x = [?]
Answers
What is the third step in sketching the graph of a rational function
Answers
Answer:
use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.
A family is thinking about buying a new house
costing 380 000$. They must pay 110 000$ down and the rest is to
be amortized over 25 years in equal monthly payments. If money
costs 7% compounded monthly
(A)What will their monthly payment be?
(B)What will be unpaid balance after 20 years?
(C)How much total interest will be paid over the 25 years?
Answers
Answer:
a.) 1908.30
b.) 96373.15
c.)302491.15
unrounded answers below
Step-by-step explanation:
The amount that is to be loaned out is 380000-110000=270000
The effective montly rate is .07/12=.005833333
a.)
[tex]270000=x(\frac{1-(1+.005833333)^{-(25*12)}}{.005833333})=1908.303833[/tex]
b.)
use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)
[tex]1908.303833(\frac{1-(1+.005833333)^{-(25*12-20*12)}}{.005833333})=96373.14775[/tex]
c.)
total paid= 1908.303833*12*25=572491.1499
amount of loan: 270000
Total interest paid:
572491.1499-270000=302491.1499
If you multiply the sum of 546 and 1711 by zero, what will be your result?
Answers
Answer:
0
Step-by-step explanation:
any numbers multiply by zero always equals to zero
Mr. Cole packed 20 pounds into a suitcase, and Mrs. Cole packed 23 pounds into the same suitcase. They then had to remove 8 pounds because it was too heavy. How many pounds was their suitcase after making it lighter?
Answers
Answer:
35 lbs is the final weight
Step-by-step explanation:
20 +23 = 43 lbs
Then they had to remove 8 lbs
43 - 8 =35
35 lbs is the final weight
Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontally. The new rectangle looks just like the original rectangle but smaller. What is the area of the new smaller rectangle in square cm
Answers
Answer:
[tex]Area =24cm^2[/tex]
Step-by-step explanation:
Given
[tex]L = 8cm[/tex]
[tex]W = 12cm[/tex]
[tex]r = 2[/tex] -- folded twice
Required
The area of the new rectangle
When the length was folder, the new length is:
[tex]l = L/2 = 8cm/2 = 4cm[/tex]
When the width was folder, the new width is:
[tex]w = W/2 = 12cm/2 = 6cm[/tex]
So, the new area is:
[tex]Area =l * w[/tex]
[tex]Area =4cm * 6cm[/tex]
[tex]Area =24cm^2[/tex]
7 There are five women and six men in a group. From this group a committee of 4 is to be chosen. In how many different ways can a committee be formed that contain at least three women?
Answers
Answer:
in three (3) ways a committee can formed
3. In A PQR, MZP=(4x-5),
m2Q=(8x-50), and MZR=(3x+10).
Which of the following best describes
APQR?
® Right triangle
® Isosceles triangle
© Equlateral triangle
Scalene triangle
Answers
Answer:
B
Step-by-step explanation:
The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle
Answer:
b
Step-by-step explanation:
its b
An airplane started at 0 feet. It rose 21,000 feet at takeoff. It then descended 4,329 feet because of clouds. An oncoming plane was approaching, so it rose 6,333 feet. After the oncoming plane passed, it descended 8,453 feet, at what altitude was the plane flying?
Answers
Find the missing side length image below
Answers
Answer:
40
Step-by-step explanation:
Based on the Proportional Transversal Theorem, the three parallel lines hat intersects the two transversals, divides the transversal lines proportionally.
Therefore, we would have the following ratio:
28/35 = ?/50
Cross multiply
35*? = 50*28
35*? = 1,400
Divide both sides by 35
? = 1400/35
? = 40
If f (x) = 8X, then f (3) =
O 24
O 64
O 512
O 4,096
Answers
Explanation:
F(x)= 8x
F(3)= 8*3
F(3)=24
What is 4 × 1/7 on a numberline
Answers
Answer:
4/7
Step-by-step explanation:
When you multiply by fractions you multiply the numerators and denominators
4/1 x 1/7
Anything that doesnt have anything under it always has a 1 as its denominator
