A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.
Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.
Answers
Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
Related Questions
Rahan is on holiday in the USA. He has $200 to spend on clothes.
Rehan buys. 1 pair of trainers costing $60. 3T. shirts costing $25 each.
He also wants to buy a jacket costing $80
Has Rehan got enough money to buy the jacket
Answers
$25 x 3 = $75 +$60 = $135
$135 + $80 = $215
Rahan doesn't have enough money that'll be required in buying the jacket.
Total Amount with Rahan = $200
Total amount of expenses = (1 × $60) + (3 × $25) + $80
= $60 + $75 + 80.
= $215
In this case, since Rahan has $200, then he doesn't have enough money that he'll use in buying the jacket.
Read related link on:
https://brainly.com/question/20905557
I need help I don’t get the question
Answers
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2
Answer:
2
Step-by-step explanation:
9x-7 = 7x-3
9x-7x = 2x
2x -7 = -3
+7 +7
2x=4
x=2
The legs of the isosceles triangle each measure 14 inches. Calculate the length of the hypotenuse
Answers
Answer:
14 radical 2
Step-by-step explanation:
For hypotenuses of isosceles triangle u just multiply by radical two
simplify m^12/m^3 pleaseeeee help meeeee
Answers
Answer:
m^12-3
m^9 is the answer
Step-by-step explanation:
M^9
Step by step
i need help fast with this problem
Answers
Answer:
6 is the answer
Step-by-step explanation:
Monique and Roger will go skiing only if the temperature drops by 5 degrees Celsius. Currently, the temperature is 3 degrees Celsius. Which of the following shows how cold it must be, in degrees Celsius, for them to go skiing?
A.
3 - 5 = 3 - (+5) = 8
B.
3 - 5 = -(3 + 5) = -8
C.
3 - 5 = 3 + (-5) = -2
D.
3 - 5 = 5 - 3 = 2
Answers
Evaluate the expression 3.5* when x is 2.
Answers
Answer:
It is 7
Step-by-step explanation:
3.5 times two is seven
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answers
Answer:
80*5.2= 416
D: 416 miles
PLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!
Answers
A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the battiest. If the number of boxes needed for packing is proportional to the number of batteries produced, how many more boxes would be needed in a day when 18,000 battiest are produced
Answers
Answer:
Number of extra boxes= 120
Step-by-step explanation:
Giving the following information:
Batteries per box= 50
Number of batteries= 18,000
Number of batteries in ecxess= 6,000
We need to calculate the number of boxes required to cover the 6,000 extra batteries:
Number of extra boxes= number of batteries / batteries per box
Number of extra boxes= 6,000 / 50
Number of extra boxes= 120
Evaluate the function:
f(x)=4x−2, find f(8)
Answers
Answer:
f (8) = 30
Step-by-step explanation:
[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]
Hope this helps.
Please help!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answers
Answer :
Sum = 2x-7 + (-2x) and equivalent expression = -7
Step-by-step explanation:
First number is (2x-7) and other number is opposite of 2x i.e. (-2x).
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Removing parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
pls help i dont understand any of it
Answers
if Olivia works 4 hours more each week than her coworker lily, if Olivia works 32 hours in 2 weeks how many hours does lily works
Answers
HELP MEE PLZZZ BRAINLIEST PLZZZ
Choose the inequality that matches the verbal description.
Anna has at least 8 dollars.
A) x ≤ 8
B) x ≥ 8
C) x > 8
D) x < 8
Group of answer choices
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
At least has to be the number or more.
So it could be 8, 9, 10... basically any number that's 8 or more.
Answer:
B) x ≥ 8
Step-by-step explanation:
x represents the number of dollars that Anna has.
If Anna has at least 8 dollars, she could have 8 or any number greater than 8 dollars. Anna could have 8, 9, 10, 11... etc. dollars.
This means that x is equal to or greater than 8.
x ≥ 8
I hope this helps!
Which value is not equivalent 0.37 0.370 37/100
Answers
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
The equation in slope-intercept form is y = 6x + 5
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ A line has a slope of 6
∵ m is the slope of the line
∴ m = 6
∵ The line has a y-intercept of 5
∵ b is the y-intercept
∴ b = 5
→ Substitute the values of m and b in the slope-intercept form
∵ y = m x + b
∴ y = 6x + 5
∴ The equation in slope-intercept form is y = 6x + 5
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answers
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
Simplify. 4(w-5)-6w please help ASAP
Answers
Answer:
-2w-20
Step-by-step explanation:
distribute => 4w-20-6w = -2w-20
Answer:
-2w - 20
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
4(w - 5) - 6w
Step 2: Simplify
Distribute 4: 4w - 20 - 6wCombine like terms: -2w - 20Jared sells jewelry online he can make 25 necklaces from 375 beads yesterday he made 21 necklaces. How many beads did Jared used to make necklaces yesterday?
Answers
Answer:
315 beads
Step-by-step explanation:
The question above is calculated as:
25 necklaces = 375 beads
21 necklaces = x beads
Cross Multiply
25x = 21 × 375
x = 21 × 375/25
x = 7875 / 25
x = 315 beads
Hence, Jared used 315 beads to make 21 necklaces yesterday
56 bananas Is what percent of
80 bananas?
Answers
Answer:
70%
Step-by-step explanation:
Branlist please!
Answer:
56 bananas Is what percent of
80 bananas?
56/80x100
=70%
please help>>>>>>>>>>>>>>>>
Answers
Answer:
The answer is B, -5 is a rational number and integer! :)
Step-by-step explanation:
Answer: My guess is integer only
Step-by-step explanation:
During the summer, the height of the water in a pond decreases by 2 inches per day due to evaporation. What is the change in the height of the water after 12 days?
Answers
Answer:
24 inches
Step-by-step explanation:
2 x 12 = 24
PLEASE HELP WILL MARK BRAINLIEST!!!!
Answers
True or False? (2,-2) is the solution to the system of equations.
3x - 2y = 10
5x + 3y = 4
True
False
Answers
Answer:
True cuz they intercept at (2,-2) plz braliest me
Step-by-step explanation:
What is 37 / 492 show your work
Answers
The answer is this!! (Look in picture)
An orange cone has an
exact volume of 1207T ft3.
What is the height of the
cone if the radius is 6 ft?
Answers
Answer:
32.01 ft
Step-by-step explanation:
Step one:
given data
Volume of 1207T ft3.
the radius is 6 ft
Step two:
The volume of a cone is given as
[tex]V=1/3 \pi r^2h[/tex]
substitute
1207= 1/3*3.142*6^2*h
1207= 37.704h
divide both sides by 37.704
1207/37.704= h
h= 32.01 ft
A parachute slows a skydiver from 85 m/s to 45 m/s in 4.5 seconds?
What is the acceleration of the parachute? A. 8.9 m/s2 B. -8.9 m/s2 C.0.1 m/s2 D. -0.1 m/s2
Answers
Answer:
c - because if u divide u will get your answer sorry if im not makeing sense
how do you find the volume of a cylinder describe which measurements of the cylinder you need to know
Answers
Answer:
To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom
Step-by-step explanation:
Answer:
Give other person brainlyest :D
Step-by-step explanation:
6d + 7 = 61 what does d equal?
Answers
Answer:
i would reword this to 6x+7=61
Step-by-step explanation:
So.
move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative
61-7=54
then you divide the number and get your missing numbers
54/6=9
d=9
plug it in
6(9)+7=61
61 minus 7 is 54 what is 54 divided by 6?? 9 so the answer is 9