Answers
Answer:
let [tex]x[/tex] = height of rectangle
Given:
height of rectangle = diameter of circlelength of rectangle = 3 × height of rectangleTherefore,
height of rectangle = [tex]x[/tex]diameter of circle = [tex]x[/tex]radius of circle = [tex]\dfrac{1}{2}x[/tex]length of rectangle = [tex]3x[/tex]Shaded area = area of rectangle - area of circle
Area of rectangle = length × height
= [tex]3x \times x[/tex]
= [tex]3x^2[/tex]
Area of circle = [tex]\pi r^2[/tex]
[tex]=\pi \left(\dfrac{1}{2}x\right)^2[/tex]
[tex]=\dfrac14\pi x^2[/tex]
[tex]\implies \textsf{shaded area}=3x^2-\dfrac14\pi x^2[/tex]
If the radius = 2 cm, then the diameter ([tex]x[/tex]) = 4 cm
Substituting [tex]x = 4[/tex] into the equation:
[tex]\implies \textsf{shaded area}=3(4)^2-\dfrac14\pi (4)^2[/tex]
[tex]\implies \textsf{shaded area}=48-4\pi[/tex]
[tex]\implies \textsf{shaded area}=4(12-\pi) \textsf{ cm}^2[/tex]
Related Questions
What is 10,000 + 4,000 + 500 + 8 in standard form?
Answers
Answer:
14,508
I hope this helps!
TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU
Answers
Answer:
m∠STU is 20°
Step-by-step explanation:
If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle
∵ Ray TV bisects ∠STU
→ That means it divides it into two angles STV and UTV
∴ m∠STV = m∠UTV = [tex]\frac{1}{2}[/tex] m∠STU
∵ m∠STV = ([tex]\frac{1}{4}[/tex]x + 8)°
∴ m∠UTV = (x + 2)°
→ Equate them
∴ x + 2 = [tex]\frac{1}{4}[/tex]x + 8
→ Subtract 2 from both sides
∴ x + 2 - 2 = [tex]\frac{1}{4}[/tex]x + 8 - 2
∴ x = [tex]\frac{1}{4}[/tex]x + 6
→ Subtract [tex]\frac{1}{4}[/tex]x from both sides
∴ x - [tex]\frac{1}{4}[/tex]x = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{4}[/tex]x + 6
∴ [tex]\frac{3}{4}[/tex]x = 6
→ Divide both sides by [tex]\frac{3}{4}[/tex] to find x
∴ x = 8
→ Substitute the value of x in the measure of any given angle
∵ m∠UTV = 8 + 2 = 10°
∵ m∠UTV = [tex]\frac{1}{2}[/tex] m∠STU
∴ 10° = [tex]\frac{1}{2}[/tex] m∠STU
→ Multiply both sides by 2
∴ 20° = m∠STU
∴ The measure of angle STU is 20°
Translate point (2, -1) seven units up. Write the new coordinate as an
ordered pair. help pls!
Answers
Answer:
(2,6)
Step-by-step explanation:
Up on a graph is adding to the y-value. (x,y)
x-value = 2
y-value = -1
-1 + 7 = 6
(2,6)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
I need to make these into algebraic expressions or equations:5 less than the product of 10 and c, 14 more than 6 times t, the sum of x and y is 18, A number minus 12 is 17
Answers
Answer: more than y :
y + 6
3 times a number:
x ← a number
3x
5 less than the product of 10 and c :
10c ← the product of 10 and c
10c - 5
14 more than 6 times t :
6t ← six times t
6t + 14
The sum of x and y is 18:
x+y ← the sum of x and y
x + y = 18
A number minus 12 is y:
x - a number
x - 12 = y
Answer:
See below
Step-by-step explanation:
Here is translation for you
5 less than the product of 10 and c
-5 + 10*c = 10c - 514 more than 6 times t
+14 + 6*t = 6t + 14The sum of x and y is 18
x + y = 18A number minus 12 is 17
n - 12 = 17
Ralph painted 1/6 of a wall in 2/3 hour. At this rate, how many hours will it take Ralph to paint the whole wall?
Answers
Answer:
4 hours
Step-by-step explanation:
Let the size of whole wall be x.
Given that
Ralph painted 1/6 of a wall in 2/3 hours
thus, writing it in mathematical form we have,
time taken to pain 1/6 of x = 2/3 hours
=>time taken to pain x/6 wall = 2/3 hours
since, we have taken size as x so to find time to pain x size of wall ,
we divide both side by 6
=>time taken to pain x/6 * 6 wall = 2/3 *6 hours
=> time taken to pain x wall = 4 hours
Thus, It will take 4 hours to paint whole wall
he statement “Angles that measure more than 50 degrees are obtuse angles” has a counterexample.
Answers
90 is 12% of what number
Answers
Answer:
750
Step-by-step explanation:
Just divide 90 by 0.12 then it gives you 750. If you want to check it you can multiply 750 by 0.12 and it gives you 90. I got 0.12 from 12% since they're the same thing.
stream back door by stray kids
Answers
Answer:
Okay
Step-by-step explanation:
Answer:
Okay Stay. I will stream it. Nice to meet you. I am Nancy.
-1/8 - 0.356 find the sum of this equation
Answers
-0.481 :)
Step-by-step explanation:
The ratio of trucks to cars on a freeway is 5 to 8 if there are 440 carson the freeway how many trucks are there?
Answers
440/8=55
55x5=275
Hope this helped! Have a nice day :)
these 2 questions math 9th thanks! will give brainly!!
Answers
Answer:
1) 25+7(n-1)
When the above 'n'(hours) is substituted on the equation, it equals up to the right cost.
2) Given that n represents the no.of bikes, you just plug it in to the equation below.
250+39(n-1)
= 250+39(20-1)
= 250+39*19
= 250+741
= 991
(-3x2 + 5x - 2) - 2(x2 - 2x - 1)
If the expression above is rewritten in the form
ar2+bx+c, where a, b, and c are constants, what is
the value of b ?
Answers
Answer:
(-3x²+5x-2)-2(x²-2x-1)=
-3x²+5x-2-2x²+4x+2=
-5x²+9x, so b, the coefficient of the x term, is 9.
(a=-5 and c=0)
answered Sep 9, 2019 by Rod Top Rated User (795k points)
Step-by-step explanation:
Value of b will be 9
What is quadratic equation?In algebra , a quadratic equation is any equation that can be rearranged in standard form as ax^2 + b x + c =0 where x represent unknown and a, b and c are constants .
using algebraic functions , solving given equation
-3x^2 + 5x -2 -2x^2 + 4x + 2
-5x^2 + 9x +0 equation 1
now , comparing simplified equation 1 with general quadratic equation (ax^2 +b x +c ), we get
a=-5
b=9
c=0
so, value of b = 9
Lets learn more about quadratic equations
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Josie runs 3 miles and burns 252 calories. How many calories does she burn in 1 mile?J HELPP PLZ
Answers
Answer: 84
Step-by-step explanation: 252 divided by 3 = 84
Josie can lose 84 calories
Explanation:
If she can run 3 miles and lose 252 calories, 254/3 or 252 divided by 3 equals 84
Someone please help..
Answers
Answer:
ITS J because the Mlimeters are suppose to be on the other side
Step-by-step explanation:
ASAP!!! GOD BLESS u
Answers
Answer:6 and 2
Step-by-step explanation:
Answer:
The answer is 6 by 2
Step-by-step explanation:
The perimiter is the total of the sides. So, you have to find out the values of the sides of the rectangle using the number 16. Its a rectangle, and the are is 12. So, you can find that it is 6 & 2.
Use the equation y=3.2x + 5 to fill in the table.
Answers
Answer:
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
20r + 11r + –19r − –4 = –20
Answers
Answer:
r=-2
Step-by-step explanation:
First, you need to combine like terms so now you have 12r-(-4)=-20. Then you have to subtract -4 to -20 which equals -24 so now you have 12r=-24. Finally, you divide 12 from both sides and you get r=-2
Answer:
r = -2
Step-by-step explanation:
20r + 11r - 19r + 4 = -20
12r + 4 = -20
subtract 4 from both sides of the equation
12r + 4 - 4 = -20 - 4
12r = -24
divide both sides by 12
12r/12 = -24/12
r = -2
B=9+ 1/3qa
solve for a
Step by step please!
Answers
Answer:
[tex]a=\frac{3(B-9)}{q}[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]B=9+\frac{1}{3} qa[/tex]
Step 2: Solve for a
Subtract 9 on both sides: [tex]B-9=\frac{1}{3} qa[/tex]Multiply 3 on both sides: [tex]3(B-9)=qa[/tex]Divide both sides by q: [tex]\frac{3(B-9)}{q} =a[/tex]Rewrite: [tex]a=\frac{3(B-9)}{q}[/tex]
Tory and her friend Terrence ride their bikes to school each day. On one particular day, Tory started out 5 minutes before Terrence. Tory rides at a rate of 880 feet per minute and Terrence rides at a rate of 1.056 feet per minut
How long had Tory been riding when Terrence caught up with her?
Answers
Answer:
4:30 minutes im thinking
Step-by-step explanation:
The value is 30 minutes. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression.
What is meant by expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The expression that give us the distance that Tory has ride after t minutes is:
D = 880t
Because Tory rides at 880 feet per minute.
At the same way, the distance that Terrence has ride after t minutes is equal to:
D = 1056(t - 5)
Because Terrence rides at 1056 feet per minute and he starts out 5 minutes after Tory
Now, we need to find t when both expressions are equal, so we can formulate the following equation:
[tex]880t=1056(t-5)[/tex]
So, solving for t, we get:
[tex]880t=1056t - 1056.5[/tex]
[tex]880t=1056t - 5280[/tex]
[tex]880t=1056t =-5280[/tex]
[tex]-176t=-5280[/tex]
[tex]t=-5280/-176[/tex]
[tex]t= 30[/tex]
Therefore the answer is 30 minutes
To learn more about expression refer to:
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solve the proportion 20/3 equals something over six piece of correct option 10 23 40 20
Answers
Answer:
[4 over x equals 5 over 10]
Solve for x, so you need to isolate/get x by itself in the equation.
Multiply x on both sides
Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself
8 = x
Step-by-step explanation:
*
Find the area of the following square:
15 ft.
Answers
Answer:
225
Step-by-step explanation:
The formula is a^2.
Where a is the side
So, 15^2
= 15x15
=225
When Arianna left her house,her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her house, the battery had 15% remaining battery life. Write an equation for B in terms of t representing the charge remaining in Arianna battery as a percentage t hours after Arianna left her house
Answers
Answer:
B = 3.75t
Step-by-step explanation:
Given;
initial charge of Arianna's phone = 45%
the charge remaining in Arianna battery = 15%
If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.
Thus, the charge remaining in Arianna's battery after she left her house is given by;
B = 3.75t
where;
t is time in hours
B is the percentage of charge remaining
Solve the absolute value equation.
(2x – 1) = 15
Answers
Answer:
Hello there!^^
Step-by-step explanation:
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
Remove the parentheses Add 1 to both sidesSimplify Divide both sides by 2Finally, you simplify again~~~~~~~~~~~~~~~~~~~~~~~~~~~
→ 1. 2x-1=15
→ 2. 2x=15+1
→ 3. 2x=16
→ 4. x = 16/2
→ 5. x = 8
Answer: x = 8
Hence, x would equal to 8 (eight)
Your fellow brainly user: xCherryxUwU
#Thanks!
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT PLEASE HELP 20 POINTS out
Answers
Answer:
It would be -27
Step-by-step explanation:
Math
Consider only the discriminant, b2-4ac, to determine whether one real-number solution, two different real-number solutions, or two
different imaginary-number solutions exist.
4x² - 12x+9=0
A.One real solution
B.Two different imaginary-number solutions
C.Two different real-number solutions
Answers
Answer:
A. One real solution
Step-by-step explanation:
The discriminant is used to find the number of real solutions to a quadratic equation.
If the discriminant is greater than 0, there are two real solutions.
If the discriminant is equal to 0, there is one real solution.
If the discriminant is less than 0, there are no real solutions.
All quadratic equations have the format:
ax^2+bx+c
Therefore our values for a, b and c are the following:
a = 4
b = -12
c = 9
Therefore the discriminant is:
(-12)^2-4(4)(9)
144-144 = 0
The discriminant is equal to 0, so there is one real solution (Option A).
Hope this helped!
The highest elevation in the United States is Mt. McKinley in Alaska, which measures 6,194 m above sea level. The lowest elevation in the United States is Death Valley in California, which measures 86 m below sea level. What is the height difference, in meters, between the highest and lowest elevations in the United States?
Answers
Answer:
the difference is 6280 m
Step-by-step explanation:
Solve for B.
Ax+By=C
What is B equal to?
Answers
Answer:
B=C/y−Ax/y
Step-by-step explanation:
-6x-2y=9 what is the slope
Answers
Answer:
[tex]\huge\boxed{m=-3}[/tex]
Step-by-step explanation:
The standard form:
[tex]Ax+By=C[/tex]
The slope-intercept form:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
METHOD 1:[tex]m=-\dfrac{A}{B}\\\\-6x-2y=9\to A=-6;\ B=-2\\\\m=-\dfrac{-6}{-2}=-3[/tex]
METHOD 2:[tex]-6x-2y=9[/tex]
convert to the slope intercept form:
[tex]-6x-2y=9\qquad|\txt{add}\ 6x\ \text{to the both sides}\\\\-2y=6x+9\qquad|\text{divide both sides by (-2)}\\\\y=-3x-4.5\to m=-3[/tex]
James has 861 feet of rope. There are 14 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?
Answers
Answer:
61.5 Feet of Rope
Step-by-step explanation:
Divide the rope length, 861 feet, by 14 people.
Write the equation y+4+-1 (x-3) in standard form.
Answers
Answer:
−x+y+7
Step-by-step explanation: