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
1/2=2m then what is m?
Answers
Answer:
m = 1/4 or 0.25
Step-by-step explanation:
1/2 = 2m
[Symmetric property of equality]
2m = 1/2
÷2. ÷2
[Division property of equality]
m = 1/2 ÷ 2
m = 1/4
________
1/2 = 2m → 1/2 = 2(1/4) → 1/2 = 2/4 →
1/2 = 2÷2/4÷2 → 1/2 = 1/2
Choose the correct scientific notation of this number.
There are 5,280 feet in one mile.
Answers
Answer:
It's C
Step-by-step explanation:
The system shown is blank.
a.) inconsistent
b.) equivalent
c.) consistent
Answers
Answer:
I think it's consistent
Step-by-step explanation:
factorise 6-12x please help me
Answers
Answer:
The factorized form of the function is 6 (1 - 2x)
Step-by-step explanation:
Given function;
6 - 12x
This function can be factorized as follows by using common factor of 6 and 12, which is 6;
6 - 12x = 6 (1 - 2x)
Thus, the factorized form of the function is 6 (1 - 2x)
which ordered pairs show the location of the bleachers? check all that apply.
a. (2.0, 1 1/2)
b. (1.50, 2.0)
c. (-2.0, 1.50)
d. (1.50, -2.0)
e. (1 1/2, 2)
f. (1 1/2, -2
il pick brainliest!!
Answers
hope this helped :))
38=p−15
PLEASE HELP MEHHHHH
Answers
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
Can someone help me understand how to do this
Answers
Can someone find the factors of this equation I’ll mark u as brainlist
Answers
Answer:
x = -4 , x = -1
Step-by-step explanation:
x² + 5x + 4 = 0
1) write 5x as a sumx² + 4x + x + 4 = 0
2) factor out x from the expressionx ( x + 4 ) + x + 4 = 0
3) factor out x + 4 from the expression( x + 4 )( x + 1 ) = 0
4) the product of factors equals to 0i) x + 4 = 0
x = -4
ii) x + 1 = 0
x = -1
Stephanie ran three sprints during practice. Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards. What was the total distance that Stephanie sprinted?
Answers
Answer:
Stephanie sprinted 550 yards.
Step-by-step explanation:
Given that,
Stephanie ran three sprints during practice.
Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards.
We need to find the total distance that Stephanie sprinted. It is simply equal to the sum of all above sprints.
Distance = 175 yards + 150 yards + 225 yards
= 550 yards
Hence, Stephanie sprinted 550 yards.
what is the fraction of 2 1/4
Answers
Answer:
9/4
Step-by-step explanation:
2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4
Answer:
9/4
Step-by-step explanation:
Multiply the denominator which is 4 by the whole number which is 2.
4 x 2 = 8
Next add the numerator to the 8.
8 + 1 = 9
The 9 is now the numerator and keep the original denominator.
9/4
Help In math pls this a slope problem
Answers
Answer:
D
Step-by-step explanation:
how to solve r-9≤-25
Answers
Answer:
Step-by-step explanation:
That’s the answer (the pic)
At the sewing store, Pam bought a bag of mixed buttons. The bag included 100 buttons, of which 30% were large. How many large buttons did Pam get?
Answers
Answer:
approx. 33 large buttons
Step-by-step explanation:
30% of 100= 33.3, round down because the number in the tenth place is less than 5.
A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy will each student get?
Answers
Answer:
9 pieces of candy.
Step-by-step explanation:
The information about how many boys there are is irrelevant, so we can just ignore that.
The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.
So, to solve, we just do 396 / 44 = 9.
Therefore, each student will get 9 pieces of candy.
A flagpole that is 9 feet high casts a shadow 12 feet long. At the same time, a house casts a shadow 32 feet long. If the right triangle formed by the flagpole and its shadow is similar to the right triangle formed by the house and its shadow, what is the approximate height, in feet, of the house?
A.
16
B.
20
C.
24
D.
26
Answers
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?
Answers
Answer:
30
Step-by-step explanation:
18 / 3 = 6
6 x 2 = 12
18 + 12 = 30
subtract f from g, then subtract 4 from the result
Answers
Answer:
(g - f) - 4
Step-by-step explanation:
Subtract f from g = g - f
Subtract 4 from the result = (g- f) - 4
Express in the form 1: n.
Give n as a decimal.
8 : 6
please help
Answers
Answer:
n = 0.75
1 : 0.75
Step-by-step explanation:
To get from 8 to 1, you have to divide by 8. You do that to the number 6.
6/8 = 3/4 = 75/100.
Therefore, n = 0.75.
Michael read 135 pages in 90 minutes. Select all of the rates that have the same constant rate of change as Michael's rate. 180 pages in 2 hours 180 pages in 2 , hours 60 pages in 30 minutes 60 pages in 30 , minutes 108 pages in 212 hours 108 pages in 21 half , hours 150 pages in 1 hour 150 pages in 1 , hour 225 pages in 150 minutes 225 pages in 150, minutes 210 pages in 2 hour 20 minutes
Answers
Answer:
180 pages in 2 hours
225 pages in 150 minutes
210 pages in 2 hours 20 minutes
Step-by-step explanation:
135 pages : 90 minutes
= 135/90
= 3/2
= 3 : 2
180 pages : 2 hours
180 pages : 120 minutes
= 180/120
= 3/2
= 3:2
60 pages : 30 minutes
= 60/30
= 2/1
= 2:1
108 pages : 2 1/2 hours
108 pages : 180 minutes
= 108/180
= 18/30
= 3/5
= 3:5
150 pages : 1 hour
150 : 60
= 150/60
= 10/6
= 5/3
= 5:3
225 pages : 150 minutes
= 225/150
= 9/6
= 3/2
= 3:2
210 pages : 2 hours 20 minutes
210 pages : 140 minutes
= 210/140
= 3/2
= 3:2
Find the area of a circle with radius 4ft.
Answers
Answer:
A=50.27
Step-by-step explanation:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
Answers
Answer:
0.25
Step-by-step explanation:
Evaluate the following expression 10+ 54/-6
Answers
The answer would just be 1
Hey there!
The answer to your question is [tex]1[/tex].
Let us start by dividing:
[tex]\frac{54}{-6} = -9[/tex]
Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].
Hope it helps and have a terrific day!!!
Tommy's auto mall needs to transport 108 cars. A moving truck can fit 7 cars on each bed. How many trucks does tommy need to relocate all his car? (Do it in long division)
Answers
7|108
-7
-60
- 35
-95
Answer: 15 remainder 3.
Step-by-step explanation:
Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ
Answers
Answer:
Through pythogoras theorem
a^2+b^2=c^2
20^2+16^2=c^2
c^2=400+256
c^2= 656
c= square root of 656
c=25.6 inches or 30 inches
Missing side 25.6 inches or 30 inches
c^2 = a^2 + b^2
c^2 = 16^2 + 20^2
c^2 = 256 + 400
c^2 = 656
Now, square root both sides to find the missing length of c or the hypontenuse.
Answer: c = 25.6 inchesI have a math question
Answers
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Answer/Step-by-step explanation:
According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.
RQ ≅ DS.
This means that in order to complete the chart:
RS ≅ DQ
A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
Answers
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
For more references on probability, click;
https://brainly.com/question/11234923
#SPJ2
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answers
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
Write an equation in the form ax? + bc+c=0 if the roots are r1= - 7 and r2 = -5
Answers
Answer:
A
Step-by-step explanation:
Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!
Answers
Answer:
ok
Step-by-step explanation:
Please help ASAP!!
The question is attached
Answers
Answer: A
3/4 equals 6/8 and 9/12 and 12/16
