Rosa is making a poster that has a rainbow as part of the design. Using a compass she draws a semicircle with a radius of 18 cm. She draws another semicircle that has a radius of 12 cm as shown. What is the area of the shaded part of the rainbow?
Answers
Answer:
282.7 cm²
Step-by-step explanation:
Hello There!
To find the area of the shaded area we are going to want to find the area of the whole semi circle and subtract it by the area of the smaller semi circle
To find the area of a semicircle we use this formula
[tex]A=\frac{\pi r^2}{2}[/tex]
where r = radius
For the large semi circle
The radius of the larger semi circle is 18 cm so we plug in 18 into r in the formula
So..
[tex]A=\frac{\pi 18^2}{2} \\18^2=324\\324\pi =1017.87602\\\frac{1017.87602}{2} =508.9380099[/tex]
So the area of the whole semi circle is 508.9380099 cm²
Now to find the area of the smaller semi circle
The radius for the smaller semi circle is 12 cm so we plug in 12 into r in the formula
[tex]A=\frac{12^2\pi }{2} \\12^2=144\\144\pi =452.3893421\\\frac{452.3893421}{2} =226.1946711[/tex]
so the area of the smaller semi circle is 226.1946711cm²
Finally we want to subtract the area of the smaller semi circle from the area of the whole semi circle
508.9380099 - 226.1946711 = 282.7433388
Finally we want to round to the nearest tenth and we get that the area of the rainbow is 282.7 cm²
Related Questions
The volume of the polyhedron is ______ cm3.
Answers
Answer:
133.07 cm^3
Step-by-step explanation:
the polyhedron is a cone
volume of a cone =n r^2(h/3)
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5 in
h = height
(2.5^2 x 8) x 1/3 x 22/7 = 52.39 in^3
we need to convert inches to cm
1 in = 2.54 cm
2.54 x 52.39 = 133.07 cm^3
F(-4) if f(x) = -5x - 3
Answers
Answer:
Substituting 4 for x:
ƒ(4) = 3(4 - 5)
ƒ(4) = -3
So, ƒ(4) = -3
Hopefully you understand now!
I NEED A REAL ANSWER PLEASE!
Find a polynomial that had a leading coefficient of 4 and has the given degree and zeros.
Degree 3 with 2, 1/2, and 3/2 as zeros
[tex] ?x^{3} + {?}x^{2} + ?x + ?[/tex]
Answers
Answer:
4x^3-6x^2-6x+9
Step-by-step explanation:
I would write out the solutions as expressions and expand them:
(x-2)(x-1/2)(x-3/2)
(x^2-1/2x-2x+1)(x-3/2)
(x^2-5/2x+1)(x-3/2)
x^3-(3/2)x^2-(5/2)x+15/4+x-3/2
x^3-(3/2)x^2-(3/2)x+9/4
Next, since the leading coefficient has to be 4x^3, I could just multiply the entire expression by 4:
4x^3-(12/2)x^2-(12/2)x+36/4
4x^3-6x^2-6x+9
Hopefully, this was helpful! Comment below if you would like me to explain further!
how to get the answer.
how to get the 1.2762815625?
I know it says to multiple, but how to multiple to get that number?
thanks
Answers
9514 1404 393
Answer:
1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625
Step-by-step explanation:
An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...
1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05
This multiplication expression is evaluated in the usual way.
= 1.1025 × 1.05 × 1.05 × 1.05
= 1.157625 × 1.05 × 1.05
= 1.21550625 × 1.05
= 1.2762815625
__
All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is [tex]\displaystyle \boxed{y^x}[/tex]. The particulars of the function of this button can be found in the manual for your calculator.
For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)
HELP With this question
Answers
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
Can someone help me pls
Answers
Answer:
69
Step-by-step explanation:
both edges equal 90 degrees
90 plus 90 plus 111 =291
360-291
if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house
Answers
2(3b-1)=40
Simplify.
Answers
Answer:b=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3b−1)=40
(2)(3b)+(2)(−1)=40(Distribute)
6b+−2=40
6b−2=40
Step 2: Add 2 to both sides.
6b−2+2=40+2
6b=42
Step 3: Divide both sides by 6.
6b/6=42/6
b=7
the manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 350 dollars per month. a merket survey suggests thet, on average, one additional unit will remaon vacant for each 5 dollars increase in rent. similarly, one addiotional unit will be occupied for each 5 dollar decrese in rent. what is the monthly revenue function for the manager
Answers
Answer:
Rent = $230 maximizes revenue
Step-by-step explanation: I just know ;)
If the domain of f(n) = -4n - 3 is (-1, 1/4, 4), what is the range?
{-1, 2, -19)
{-7.-4.-13)
{1, -4, -19)
Answers
calcula el área de la siguiente figura
Answers
Answer:
272.5 m²
Step-by-step explanation:
1/2x4x9=18
(9+18)/2=13.5. 13.5x11=148.5
(18+14)/2=16. 16x7=112
12+148.5+112= 272.5
Which equation best matches the graph shown to the right?
Answers
Answer:
y=1x+20
Step-by-step explanation:
character requirement
The 12 girls on the dance team want to raise $300.00 to buy practice shoes. They have already raised $137.52. If each girl raises the same amount, how much more money must each student raise?
A. $13.54
B. $25.00
C. $11.46
D. $36.46
Answers
Carlie biked 24 miles in four hours. What was Carlie's average speed in miles per hour?
1) 8 miles per hour
2) 4 miles per hour
3) 6 miles per hour
Answers
Answer:
6 miles per hour
Step-by-step explanation:
Answer:
6 miles per hour
Step-by-step explanation:
PLEASE HELPPP THIS TWOOO
Answers
Answer:
learning task 3.4
1) p-3
2) (8÷d)+6
3) 11-(9×4)
4) 4÷2
5) (10+6)÷4
Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 20, with higher scores indicating greater creativity) and were evaluated regarding teaching performance by students and peers (a score of 100 indicates an average performance, and larger scores indicate better performance). The creativity scores and teaching performance scores are given below.
Answers
Answer:
The answer is "0.898"
Step-by-step explanation:
Using the command in any cell that is" =CORREL(I5:I14, J5:J14)" throughout the I5:I14 its value is the creativity scores that is the J5:J14 which is the value of the performance of the score, that gets the correlation coefficient that is equal to 0.897886. Hence, the correlation of the coefficient = 0.898
A train moving at 40km/h applies brakes so that there is a constant 0.5m/s².find the time taken before the train stops.
Answers
Answer:
t = 22.22 s
Step-by-step explanation:
Given that,
The initial speed of the train, u = 40 km/h
Acceleration of the train, a = 0.5 m/s²
Finally, it stops, v = 0
We need to find the time taken by it to stop. using first equation of motion to find it such that,
[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-40\times \dfrac{5}{18}}{-0.5}\\\\t=22.22\ s[/tex]
So, it will take 22.22 seconds to stop.
At Cheng's Bike Rentals, it costs $37 to rent a bike for 8 hours.
How many hours of bike use does a customer get per dollar?
Answers
Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
Find the conjugate and product of
i2 + 9
Answers
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
Marvin earns $9.75 per hour at his summer job. He wants to buy a video game system that costs $224.25
Enter an equation to model the relationship between the number of hours worked h and the amount earned e
The equation is:
Answers
Answer:
slope- (261)
Step-by-step explanation:
Help! I dont know units well..
Answers
The choices below contain the lengths of sides of four separate triangles. Which of the choices
is NOT a right triangle?
a. 12, 16, 20
b. 15, 36, 39
C. 20, 24, 26
d. 30, 40, 50
Answers
Answer:
C
Step-by-step explanation:
Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.
What is the right triangle?The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.
To find the right angle triangle it should satisfy the Pythagoras theorem
a. 12, 16, 20
[tex]12^{2} +16^{2} = 144 + 256[/tex]
= 400
[tex]20^{2}[/tex] = 400
Since it follows the Pythagoras triplet, it is a right-angle triangle.
b. 15, 36, 39
[tex]15^{2} +36^{2} \\= 1521[/tex]
[tex]39^{2} =1521[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
c. 20, 24, 26
[tex]20^{2} + 24^{2} \\= 976[/tex]
[tex]26^{2} = 676[/tex]
Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.
d. 30, 40, 50
[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.
Learn more about the right triangle:
https://brainly.com/question/4364353
Please help meee I need help
Answers
Answer:
5
6
Step-by-step explanation:
To solve, collect like terms
x ≥ 2 + 21/2
x ≥ 4 1/2
the whole number that would be greater than 41/2 would be 5
2. 2.7 + 3.3 > x
6 > x
What is the area???
Answers
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
Which equation(s) represents a nonproportional relationship? Select all that apply
y=3x
y=3x-2
y= x+1
y= -4x
Answers
What does the unknown number round to when rounded to the nearest whole?
Answers
Answer:
0
Step-by-step explanation:
Please help!
The distance between two tall buildings is 480ft. While standing on the roof of the shorter building, an inquisitive geometry student measures the angle of descent to the base of the taller building to be 48 degrees. She also measures the angle of elevation to the top of the taller building to be 25degrees. How tall is the shorter building? How tall is the taller building?
Answers
Answer:
450ft
Step-by-step explanation:
In the picture
show work , I’ll vote you brainliest if it is correct . Thank you
Answers
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
Please help me with this!! I don’t understand it at all (trigonometry)
Answers
Hi there!
[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]
[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]
Begin by recalling that:
sin(θ) = O/H, so:
Opposite side = 3√5
Hypotenuse = 7
We can solve for the adjacent sign using the Pythagorean Theorem:
7² = (3√5)² + b²
49 = 45 + b²
b² = 4
b = 2.
Thus, cosθ = 2/ 7
Use the half angle identity to solve for cos(θ/2):
cos(θ/2) = √(1 + cosθ)
Plug in the value of cosθ:
= √(1 + 2/7) = √9/7, or 3 /√7
Thus:
[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]
Calculate tan(θ/2) using the same process but with a different formula:
tan(θ/2) = √(1 - cosθ / 1 + cosθ)
Substitute in the value of cosθ:
tan(θ/2) = √(1 - 2/7)/(1 + 2/7)
= √(5/7)/(9/7) = √5/9 = √5/3
please help me with my last answer im stuck
Answers
9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A