What is the area of the shaded region?
(25/1 - 48) cm
(2571 - 30) cm
(2572 - 24) cm
(2571 – 12) cm2
Answers
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)
Area of the circle = πr²
= π(5)²
= 25π cm²
Area of ΔOAB = 2(Area of ΔOCB)
AB = 6 cm
OC = 5 - 1 = 4 cm
By applying Pythagoras theorem in ΔOCB,
OB² = OC² + BC²
5² = 4² + BC²
BC² = 25 - 16
BC = √9 = 3 cm
Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 cm²
Area of ΔAOB = 2(6) = 12 cm²
Area of ΔAOB = Area of ΔDOE = 12 cm²
Area of shaded region = 25π - (12 + 12)
= (25π - 24) cm²
Therefore, Option (3) will be the answer.
Related Questions
Solve the triangle given that a=19 b=16, c=11.
Answers
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
circle the staement below 1530 and 12530
Answers
Answer:
1530 < 12530
Step-by-step explanation:
i12530 is a bigger number than 1530
Answer:
what statement?
In an hyperbola, the fixed points that have a constant difference in distance from the center are called _
A. Asymptotes
B. Centers
C. Foci
D. Vertices
Please select the best answer from the choices provided
OA
OB
OC
OD
Answers
The correct answer is C. Foci.
A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.
The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.
Learn more in https://brainly.com/question/15697124
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answers
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
How do you write 3% as a fraction
Answers
Answer: 3/100
Step-by-step explanation:
Answer:
3/100
Step-by-step explanation:
Round 723,084 to the nearest thousand.
Answers
Answer:
723,000
Step-by-step explanation:
Answer:
723,000
Step-by-step explanation:
Nearest thousand → 1000
723,000
Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?
A. 19
B. 11
C. 9
D. 6
Answers
Answer:
D. 6
Step-by-step explanation:
С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С
Answers
Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
enter a positive value for n that makes the statement true: 1xn is less than 1 but greater than 0
Answers
Answer: 1*1/2
Step-by-step explanation: 1*1/2 equals 1/2 which is greater than zero but less than 1
The given statement is true for all real values between 0 and 1.
Compound inequality:Important information:
The given expression is [tex]1\times n[/tex].The value of the expression is less than 1 but greater than 0.The compound inequality is:
[tex]0<1\times n<1[/tex]
[tex]0<n<1[/tex]
Therefore, the given statement is true for all real values between 0 and 1.
Find out more about 'Compound inequality' here:
https://brainly.com/question/17086294
Solve the inequality: |x +5|>-1 please help i will give brainliest thank you
Answers
Step-by-step explanation:
|x + 5| > -1
Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.
Answer:
x> -6
Step-by-step explanation:
|x+5|> -1
x+5 > -1
-5 -5
x> -6
There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space
Answers
Answer:
c. 20%
Step-by-step explanation:
3/15=1/5
1 divided by 5 = .2
Move decimal point 2 times to get percent.
20%
anyone can u please help me? lol
Answers
Answer:
-1/30
Step-by-step explanation:
just subtract then divide.
(this is simplest form)
nvm
my bad, i forgot some steps you can delete this answer if wanted.
Which equation is equivalent to 4(6x-2)+1=5(4x-1)
a. 24x-7=20x-5
b.24x-1=20x-1
c.24x-4=10x-5
d.24x+9=20x+5
Answers
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
Answers
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answers
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answers
Answer:
4
Step-by-step explanation:
Which expression is a factor of 64x^2−25?
8x−5
32x−25
32x−5
8x−25
Answers
Answer:
A
Step-by-step explanation:
Answer:
[tex](8x-5)^{2}[/tex]
Step-by-step explanation:
Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25
Rewrite 25 as 5^2.
(8x)^2−80x+5^2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
80x=2⋅(8x)⋅5
Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]
Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]
x-2y what is the coefficient of x
Answers
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
six less than six times a number is 12
Answers
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
6(3)-6= 12
18-6=12
12=12
The number is 3
One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.
What is the solution to the system?
(
,
)
Answers
Answer:
(12, -12)
Step-by-Step:
I got it right on Edge 2021
Answer:
its 12,-
12
Step-by-step explanation:
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Answers
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
what's a quarter after 9 in the morning??????
Answers
Answer:
9:15 a.m
Step-by-step explanation:
Use the four-step method in problem-solving to solve the problem.
Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716
Answers
Answer:
A. $56,182
Step-by-step explanation:
$3131 x 14= $43834
$882 x 14= $12348
$43834 + $12348= $56,182
$56,182 x 1= $56,182
Select all of the following tables which represent y as a function of x.
Answers
Answer:
the second and third one
Step-by-step explanation:
two y's that are the same can't have 2 outcomes
I will give brainiest to whoever answers correctly !!
Answers
Answer:
the material when you get a chance can you send me the material
Please help me with my homework!
Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?
A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)
Answers
Help me please! I am in desperate need
Answers
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answers
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
7g2 + 3g − 2, 8g2 − 2g − 3
Answers
8g2-2g-3 is 14g-3
A house sits on a rectangular piece of land. Two of the sides measure 104 feet each. If all four sides add to 576 feet, how long is each of the other two sides? Write and solve an equation.
Answers
Answer:
Each of the other side is 184 feet.
Step-by-step explanation:
Given that:
Length of two sides each = 104 feet
Total length of all sides = 576 feet
Let,
x be the length of other one side.
Length of other two sides will be 2x.
Total length of sides = 2x + 2(104)
576 = 2x + 208
2x = 576 -208
2x = 368
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]
Hence,
Each of the other side is 184 feet.
