The radius of the given circle is 13 unit.
What is a chord of a circle?
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
What is radius of a circle?A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.
What is Pythagoras theorem?Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".
According to the given question
We have a circle with center Q and two chords AD and BC.
And, AD = 4x + 4 and BC = 6x -6
Since, both the chords are at the same distance from the center of the circle, so their lengths will same.
⇒ AD = BC
⇒ 4x + 4 = 6x -6
⇒ 4 + 6 = 6x -4x
⇒ 10 = 2x
⇒ x = 5
Therefore,
AD = 4x + 4 = 4(5) + 4 = 20 +4 =24
and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24
Also, AP = AD/2 = 24/2 = 12
Now, in right angle triangle QPA we have
[tex]AQ^{2} =QP^{2} +AP^{2}[/tex] ( By Pythagoras theorem)
⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]
⇒[tex]AQ^{2} = 25 + 144[/tex]
⇒[tex]AQ^{2} = 169[/tex]
⇒[tex]AQ =\sqrt{169}[/tex]
⇒ AQ = 13
Hence, the radius of the given circle is 13 unit.
Learn more about radius and chord of the circle here:
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Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
Kelsey is collecting milk from dairy farms that will be taken and made into cheese.
The distance from one farm to the next is 6 miles. What is the distance between
the two dairy farms on a map with a scale of 1 inch = 2 miles?
Answer:
22miles
Step-by-step explanation:
====================================
Explanation:
The problem states that 1 inch on paper corresponds to 2 miles in real life, hence the 1 inch = 2 miles.
Multiply both sides by 3 so we turn that "2 miles" into "6 miles"
1 inch = 2 miles
3*(1 inch) = 3*(2 miles)
3 inches = 6 miles
-------------
We could also solve like this
(1 inch)/(2 miles) = (x inches)/(6 miles)
1/2 = x/6
1*6 = 2*x ... cross multiply
6 = 2x
2x = 6
x = 6/2
x = 3
3 inches on paper correspond to 6 miles in real life.
¿Cuanto es el 15% de 9,000?
Answer:
10% = 900
5% = 450
15% = 1,350
Please brainliest
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
h (p) = p2 – 3p, find h (2)
Answer:
-2
Step-by-step explanation:
see Image below:)
What is the area of the shaded portion of the circle?
9514 1404 393
Answer:
(a) (5π -11.6) ft²
Step-by-step explanation:
The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.
shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)
shaded area = (5π -11.6) ft²
I don't understand math...i probably never will
Answer:
1/2 9/8
17/12 23/30
81/70 2/3
Step-by-step explanation:
I ordered it the way it appears in the image.
Tamika was buying 12-packs of soda. Each pack cost $3.50. If she spent $49.00, how many 12-packs did she buy?
Answer:
Number of 12-packs = 14
Step-by-step explanation:
Cost Number of 12-packs
3.50 1
49.00 x
[tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]
Number of 12-packs for $49 = 14
pleaseeee help ty!
:)
Problem 3
Answer: 1/5 of a gallon per minute-------------------------
Explanation:
Two points from the graph are (10,2) and (20,4)
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (4-2)/(20-10)
m = 2/10
m = 1/5
The slope of the graph is 1/5.
Do the same for two points from the table. I'll use the first two rows
m = (y2-y1)/(x2-x1)
m = (4-2)/(10-5)
m = 2/5
The slope of the table is 2/5.
Subtract the two slopes to wrap things up:
2/5 - 1/5 = (2-1)/5 = 1/5
=====================================================
Problem 5
Answer: 23 degrees------------------------
Explanation:
Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.
(angle1)+(angle3) = 180
(157) + (angle3) = 180
angle3 = 180-157
angle3 = 23 degrees
Pls help with this one question
Answer:
19
Step-by-step explanation:
Cause it’s angle on a straight line which is equals to 180
A group of people who gathered to watch a baseball game voted for their favorite teams.
New York Mets 4
Washington Nationals 1
Toronto Blue Jays 5
What is the probability that the favorite team of a randomly selected baseball fan is the Toronto Blue Jays?
Write your answer as a fraction or whole number.
P(Toronto Blue Jays) =
Answer:
sdfgafddasfadfs
Step-by-step explanation:
dfsadsafdsfadfsadsfasdfa
A rectangle has a vertices E(-4,8),F(2,8),G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilated so that G is located at (5,-5). Which algebraic representation represents this dilation.
A. (x,y)—> (x+3, y+3)
B. (x,y)—> ( 2/5x, 2/5y)
C. (x,y)—>(x -5, y -5)
D. (x,y)—> (2.5x, 2.5y)
Answer:
C
Step-by-step explanation:
Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock, and hip hop. Jessica
downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Which system of equations represents their music choices?
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
In a store 3% of eggs are cracked. If you buy one dozen eggs what is the probability that
a) exactly 2 eggs are cracked?
b) exactly 4 eggs are cracked?
Answer:
0.36
Step-by-step explanation:
what is the value of 1 in 915,342,760
the 1 is in the 10 million place
Someone please help ASAP!
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Help
Answer:
x = 2.4 or x = 0.3
Step-by-step explanation:
3x² - 8x + 2 = 0
Quadratic formula
x = {-b ±√b² - 4ac} / 2a
a = 3
b = -8
c = 2
x = {-b ±√b² - 4ac} / 2a
= {-(-8) ±√(-8)² - 4*3*2} / 2*3
= (8 ± √64 - 24) / 6
= (8 ± √40) / 6
= (8 ± 2√10) / 6
= 8/6 ± 2√10/6
= 4/3 ± √10 / 6
x = 4/3 + √10 / 6 or 4/3 - √10 / 6
x = 2.4 or x = 0.3
pls answer correct or i will ban you
And I will mark brainlist whoanewers correct
Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
----------------------
To summarize so far, we have these three facts
angle CAB = angle CADAC = ACangle ACB = angle ACDin this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
------------------------
Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
1) Find the distance between -49.75 and 31.5 on a number line.
Answer:
81.25
Step-by-step explanation:
Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.
Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.
Finally, add those two distances together so that you know the total distance:
49.75+31.5 = 81.25
Answer:
in the picture
HOPE ITS HELP
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
radius is 4 meters long.
Answer:
Step-by-step explanation:
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
help please if you can
Answer:
Ice, ig.
It is made up of the remaining part of the solar system, after all.
Hope it helps you
Please mark as brainliest
Need help asap please and thank you
Answer:
(x=4)^2=23; the third one
Step-by-step explanation:
When you solve it using the quadratic formula it's the same as the original answer.
If PT=5x+3 and TQ=7x−9, what is PT?
I NEEDDD HELPPPPP PLEASEEE
Answer:
#3
Hope this helped! Please give brainliest to let me know <3
Step-by-step explanation:
Presale tickets (p) are each worth $7: represented in the equation as 7p.
Door tickets (d) are each worth $10: represented in the equation as 10d.
They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.
Final answer:
(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]
A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?
Answer:
Distance = speed * time
Convert feet to meter (C units) = about 6
Convert hours to second (C units) = about 2399
Distance = 6 * 2399
= 1439 meters
4721 foot
Write the slope-intercept form of the equation for the line
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3
Step-by-step explanation:
-2x+5<3
-2x>3-5
-2x>-2
Divide both sides by -2
x>1
Answer:
-2x+5<3
-2x<-2
x<1
Solve for x:−2(x+9)=−1(x+−1)+2
Answer:
A
Step-by-step explanation:
expanding the bracket, we would have
-2x -18 = -x+1+2
-2x+x= 3 +18
-x=21
x=-21
Answer:
A
Step-by-step explanation:
−2(x+9)=−1(x+−1)+2
Use distributive property
-2x - 18 = -1x + 1 +2
-2x - 18 = -1x + 3
+18 +18
-2x = -1x +21
+1x +1x
___________
-x = 21
we need to have a positive x so multiply x by -1. -x times -1 = x
What we do on the left side has to happen to the right side too
So, 21 times -1 = -21
Therefore, x = -21
Hope this helps :)
