In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?
Answers
Answer:
[tex]A_{Circle} \approx 39.24\: units^2[/tex]
Step-by-step explanation:
Square ABCD is inscribed in a circle with center P such that BC = 5 units.
BD will be diagonal of the square as well as diameter of the circle.
[tex]BD = BC\times\sqrt 2[/tex]
[tex]\implies BD = 5\sqrt 2[/tex]
-> Diameter of the circle [tex](d) = 5\sqrt 2[/tex]
-> Radius of the circle [tex](r) = 2.5\sqrt 2=3.535\: units[/tex]
[tex]A_{Circle} =\pi(r)^2[/tex]
[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]
[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]
[tex]\implies A_{Circle} =39.2381465[/tex]
[tex]\implies A_{Circle} \approx 39.24\: units^2[/tex]
Related Questions
complete the proof, word bank at the bottom HELP PLEASE LOL
Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW
Answers
Answer:
Step-by-step explanation:
3) Definition of supplementary angles
4) Consecutive interior angles converse
5) Alternate interior angles
6) AA similarity
George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds
B) 5 pounds
C) 6 pounds
D) 8 pounds
Answers
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
32/16 = 2
2 + 3 = 5
So therefore he bought 5 pounds of vegetables.
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
Answers
the sum of all interior angles in a polygon is
180( n - 2), n = number of sideswe know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be
180( 5 - 2) = 540 degrees.
540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.
The final interior angle of the pentagon measures 102°.
What is the measure of the fifth interior angle?We know that for a figure of n sides, the sum of its interior angles is equal to:
S = (n - 2)*180°
Then for a pentagon, 5 sides, we have:
S = (5 - 2)*180° = 3*180° = 540°
Then if X is the missing interior angle, we must have:
88° + 118° + 132° + 100° + X = 540°
438° + X = 540°
X = 540° - 438° = 102°
So the measure of the last interior angle is 102°.
If you want to learn more about interior angles:
https://brainly.com/question/24839702
#SPJ2
Will give brainliest <333
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 8 kg weighs 80 N. Calculate the mass of another object that weighs 100 N.
Answers
This isn't my work, though it's the answer to your question.
Answer:
The weight of an object when the mass is 10 kg will be 30 N.
Step-by-step explanation:
8/10 = 24/x
Cross multiply
8x = 24 × 10
8x = 240
x = 240/8
x = 30
Answer:
I’m just answering for him to get brainliest :)
Step-by-step explanation:
Evaluate the expression 10 + (8 - 4)2 ÷ 2.
Answers
Answer:
10 + (8 - 4)2÷2
10 + (4)2 ÷2
10 + 8 ÷ 2
10 + 4
= 14
Write -4/5 as a decimal number
Answers
explanation:
-0.8
For some reason it’s making me write more words. Just ignore this, the answer is above
Hope this helped <3
Write an equation in point-slope form of the line that passes through the point (5,6) with slope 3/5
Answers
point-slope form:
y - y₁ = m(x-x₁)slope intercept form:
y = mx + bEquation:
[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex] [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]
[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex] ----------------
[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex] -------------------
[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex] [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]
Answer:
[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]
Step-by-step explanation:
Given:
Line passes through: (5,6)Slope = 3/5 = 0.6Formula:
[tex]y - y_{1} = m(x - x_{1} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{m = Slope}; \ (x_1},y_{1}) = \text{Coordinates of point}][/tex]Substitute the values into point slope form to determine the equation of the line in point slope form.
[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]
[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]
solve the equation f'(x) = 0:
Answers
Break it down gently
f(x) = 1 - sin⁴3x + cos6x/6
let's break ( - sin⁴3x) and (Cos6x/6) and 1 separately
the derivative of ( -sin⁴3x) = 12cos3xsin³3x
the derivative of (cos6x/6) = -sin6x
the derivative of (1) = 0
f'(x) = 0
12cos3xsin³3x - sin6x = 0
PLS HELP ME I WILL MARK THE BRAINIEST 50 POINTS!!!!!!
Answers
Answer:
Done. Check comments
Step-by-step explanation:
Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.
The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.
When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.
This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.
263-97 = 166/2 = 83***
What is the number halfway between 8516 and 8586?
Answers
Answer:
8551
Step-by-step explanation:
The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551the drop down box numbers are 39, 90, 120, and 180
Answers
Answer:
Im thinking the answer is 90.
Step-by-step explanation:
There are 360 and that is a small section for 120 or 180 people to all take a break at.
-Hope this helps!
-Justin
Multiply. Write your answer in simplest form. 2 5/6x2/5
Answers
Answer:
17/15
Step-by-step explanation:
2 5/6 x 2/5
convert 2 5/6 into improper fraction
17/6 x 2/5
cancel out the greatest common factor which would be the 6 and the 2
17/3 x 1/5
multiply straight across
17/15
could also be written as 1 2/15 or 1.13
Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.
Answers
Answer:
B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment
What is the slope of the line containing the points (-1, -2) and (3, -5)? A. B. C. D.
Answers
Answer:
-7/4
Step-by-step explanation:
(-1,2) (3,-5)
x1 y1 x2 y2
-5-2=-7
3-(-1)=4
-7/4
I NEED THE ANSWER |(-2+1)*3)|
Answers
Answer:
The answer is 3
Step-by-step explanation:
add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
$156.72
$177.38
$180.06
$257.44
Answers
Answer:
180.06
Step-by-step explanation:
We first need to sustitue x and y for the time workd on saturday and sunday :)
10.75(1.5)(4.5) + 10.75(2)(5)
Now we multpily in order!!
10.75(1.5)(4.5) + 10.75(2)(5)
72.56 + 10.75(2)(5)
72.56 + 107.50
Now we add!!
72.56 + 107.50
180.06
Your answer is 180.06 :)
Have an amazing day!!
Please rate and mark brainliest!!
Describe what happens to a figure when the given sequence of transformations is applied
to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)
(If you answer this you will get 100 points for answering in brainly)
Answers
Answer:
After the sequencing of transformations, reflection over the y-axis.
dilation with a scale factor of 0.5
translation 2 units left and 2 units up
Step-by-step explanation:
Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.
Including her financial aid, what is Skye’s estimated cost per year? $
Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $
If Skye currently has $0 in savings, she will need to save $
each month.
If Skye currently has $1,000 in savings, she will need to save $
each month.
If Skye currently has $2,500 in savings, she will need to save $
each month
Answers
Answer:
1.95
Step-by-step explanation:
Given \tan A=\frac{11}{60}tanA=
60
11
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answers
Answer: 60/61
Step-by-step explanation:
what steps are used to solve this equation x/2=7 complete each statement
Answers
Answer:
x=14
Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números
Which measurement is more precise? 45 fluid ounces or 79 cups
Answers
Answer:
45 fluid ounces
Step-by-step explanation:
Weight will be more accurate and consistent
To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact
Consider the enlargement of the complex figure. 2 complex figures. a corresponds to 18 centimeters, b corresponds to 24 centimeters, and a side with length 14 meters corresponds to a side with length 42 feet. what can be concluded about the scale factor and missing measures? check all that apply. the scale factor is 3. the scale factor is one-third. add the scale factor to 18 and 24 to find a and b’s lengths. subtract the scale factor from 18 and 24 to find a and b’s lengths. multiply 18 and the scale factor to find a’s length. divide 24 by the scale factor to find b’s length.
Answers
Answer:
The scale factor is 3 and Divide by 24 to find b's length.
Step-by-step explanation:
I think this is the answer
(Im just a bored high schooler searching this up) :P
Answer:
it’s The first and the last
Step-by-step explanation:
SOMEONE PLS HELP ME !!!!
Answers
What is the solution to the inequality?
12 < 8 + x
O A. x < 20
O B. x>4
O c. x> 20
O D. x<4
Answers
Answer:
B. x > 4
Step-by-step explanation:
12 < 8 + x
12-8 < 8-8 +x
12-8 < x
4 <x
x > 4
look at pic please and answer
Answers
Can some please explain and solve how to do these unit rate equations?
Answers
(2) 6:3=2:1. 10:5 It will take 5 hours because she’s walking 2km per hour, so it would take 5 hours to walk 10km.
(3) 1:20 4:80 It will take 80 minutes because 20x4=80
(4) 1:1 20:20 it will take her 20 days since she makes one craft a day and she’s making 20.
(5) 12:1 84:7 84 cakes since there is 7 days in a week. 12x7=84
If you still need help, here’s the answers
Choose the student with the correct answer. Pls Help ;-;
Answers
Answer:
Frida
Step-by-step explanation:
y = 1000(2)^x
Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.
Let's just look at (2)^x. If we substitute numbers for x, we get:
x = 1 ⇒ 2x = 2 ⇒ 4 x = 3 ⇒ 8 x = 4 ⇒ 16x = 5 ⇒ 32x = 6 ⇒ 64x = 7 ⇒ 128We can see that the output number doubles by 2, or in other words, increases by 100% of its value.
Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.
A pair of pants has been marked down from $36 to $27.
Answers
Answer:
Step-by-step explanation:
The percentage decrease is 25% or 36 subtract 27 gives you 9
a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article
Answers
Answer:700
Step-by-step explanation:
Let the M.P of the article be x .
A discount of 20% was given on the M.P .
So the selling price of the article ( S.P ) will be M.P - Discount .
Discount = 20 % of x
⇒ Discount = 20/100 of x
⇒ Discount = 1/5 × x
⇒ Discount = x/5
Now S.P = M.P - Discount .
⇒ S.P = x - x/5
⇒ S.P = ( 5 x - x ) / 5
⇒ S.P = 4 x / 5
The shopkeeper loses Rs 200 .
Loss = C.P - S.P
⇒ C.P = Loss + S.P
⇒ C.P = 200 + 4 x / 5
⇒ C.P = ( 1000 + 4 x )/5
Now if he allows 10 % discount then the gain is Rs 150 .
Gain = S.P - C.P
⇒ S.P = Gain + C.P
⇒ S.P = 150 + ( 1000 + 4 x )/5
⇒ S.P = ( 750 + 1000 + 4 x )/5
⇒ S.P = ( 1750 + 4 x )/5
Discount = 10 % of x .
⇒ Discount = 10/100 × x
⇒ Discount = x/10
S.P = M.P - Discount
⇒ ( 1750 + 4 x )/5 = x - x/10
⇒ ( 1750 + 4 x )/5 = 9 x / 10
⇒ 1750 + 4 x = 9 x / 2
⇒ 3500 + 4 x = 9 x
⇒ 9 x - 4 x = 3500
⇒ 5 x = 3500
⇒ x = 3500/5
⇒ x = 700
how to solve 3x - y = -1 and -3x - y= 5