Answers
Answer:
radius of smaller circle on the left = 8 centimetersradius of larger circle on the right = 12 centimeters=============================================================
Explanation:
The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.
Based on that, we can say that PQ = 20 cm.
Let x = length of PK
PK + KQ = PQ
KQ = PQ - PK
KQ = 20 - x
We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.
------------------------
We're given this equation
3AK=2BK
Let's get the numbers to one side and the letters to the other side like so:
3AK=2BK
3AK/BK = 2
AK/BK = 2/3
We'll use this later as well. I'll refer to this as "Fact 2" when it does come up later.
------------------------
Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.
The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.
The angles AKP and QKB are vertical angles, so they are congruent.
The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).
------------------------
Now that we know the triangles are similar, we can use a proportion to solve for x.
PK/KQ = AK/KB
PK/KQ = 2/3 .... use fact 2
x/(20-x) = 2/3 .... use fact 1
3x = 2(20-x) .... cross multiply
3x = 40 - 2x
3x+2x = 40
5x = 40
x = 40/5
x = 8
So,
PK = x = 8KQ = 20-x = 20-8 = 12The radius of the smaller circle on the left is 8 cm.
The radius of the larger circle on the right is 12 cm.
Related Questions
Okie I need help I don’t understand thank you
Answers
Answer:
12
Step-by-step explanation:
8x+4x = 12x
-3+3= 0
12x+0=180
x=180/12
x=15
i need help on this asap pls help??
Answers
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
what is the equation of the line that passes through point [3,-1] and has a slope of 2
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
lmk if you want an explanation
at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that 177 studied in the library , 142 studied in the cafeteria, 82 studied in both the library and the cafeteria. Of those students surveyed, how many studied only in the library?
Answers
Answer:
177
Step-by-step explanation:
Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.
This means that 65.56% of the students studied at the library primarely.
Answer:
95
Step-by-step explanation:
Use a Venn diagram;
2 places are identified where students may study, the library and the cafeteria so there are 2 circles;
One represents library (L) and the other is cafeteria (C);
82 goes in the overlap since 82 study in both places;
177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;
If we wanted to find the number who study only in the cafeteria, it would be similar;
142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;
The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)
Find three consecutive even integers such that the
sum of the smallest and the largest is 36.
Answers
n= smallest integer
n+2= middle integer
n+4= largest integer
n + n + 4 = 36
2n+ 4 = 36
2n=32
n= 16 which means that the smallest integer is 16
then you substitute it into the equation for the largest integer
n+4=20
16, 18, 20 is the answer
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answers
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation:
Please help me ASAPPPPP
Answers
Answer:
20 0-6
Step-by-step explanation:
x= (2,0)
y= (0,-6)
√((2+√3)÷(2-√3))
what is the answer?
Answers
Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified
Answers
Answer:
The first option as you do what is in parentheses first.
Step-by-step explanation:
Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?
Answers
Answer:
56 handshakes
Step-by-step explanation:
one person shakes seven hands
eight people shook seven hands each
8×7=56
Which term is defined as the distance from the center of a circle to any point on the circle?
A. Directrix
B. Diameter
C. Circumference
D. Radius
Answers
Answer:
radius is the distance from the center of circle to any point of the circle.
what is the explanation
Answers
Answer:
the explanation of wot
Step-by-step explanation:
If you give an explanation of something, you give details about it or describe it so that it can be understood.
p-3 1/5=7 1/3 I need help
Answers
We have:
[tex]p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}[/tex]
ok done. Thank to me :>
A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00
Answers
Answer:
cost for 18 apples: $3.38
$5 will buy 26 apples
Step-by-step explanation:
let 'a' = apples
1.50/8 = cost per apple
$0.1875 for one apple
cost for 18 apples: 0.1875 x 18 = $3.38
5.00 / 0.1875 = number of apples for $5 → 26
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answers
Answer:
Game #1B is the correct answer i guess so
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answers
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
Multiply the two fractions. Simplify your answer. 1/2 x 4/7
Answers
Answer:
2/7
Step-by-step explanation:
The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].
Given that,
Multiply the two fractions,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
Used the concept of multiplication which states that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, simplify the fractions by multiplying,
[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]
[tex]\dfrac{4}{14}[/tex]
Simplify for the simplest form,
[tex]\dfrac{2}{7}[/tex]
So, the solution is [tex]\dfrac{2}{7}[/tex].
To learn more about multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answers
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
What is the sum of (X^2-1+7-3x-x2)(x)
Answers
x^3-5x^2+6x
Step by step solution:
(x^2-1+7-3x-2x)(x)
x^3-x+7x-3x^2-2x^2
x^3+6x-5x^2
The right way to write it is the power of x decreasing so it would be x^3-5x^2+6x
write the L.C.M of 5,8
Answers
From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.
Required Answer :-2 | 5, 8
_______
2 | 5, 4
_______
2 | 5, 2
_______
5 | 5, 1
_________
1, 1
2×2×2×5 = 40
Additional information :-We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division
Please help me :) 25 points
Answers
Answer:
D (bottom right)
Step-by-step explanation:
Using the vertical line test, only D passes.
Hope that helps
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Answers
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
3 3/4 divided by 1 1/3 in fraction answer
Answers
Answer: 4/3
Step-by-step explanation:
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
Answers
2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ
Answers
UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol
Line k passes through the point (6, -7) and has a slope m= -1/2.
Which is the equation of a line that is perpendicular to line k and passes through the
point (-4, 9)?
Answers
Answer:
y = 2x + 17
Step-by-step explanation:
lmk if you want an explanation
Meanwhile, plants are absorbing_(H2O) through their roots and storing it within their cells
Answers
The plants intake Water and Carbon Dioxide those are the reactants And after the plant is exposed to light energy also known as sunlight it produces glucose and oxygen which is the process of photosynthesis and and it takes place in the chloroplast of a plant cell.
Step-by-step explanation:
H²O+CO²-Sunlight-C⁶H¹²O⁶+O²
Chemical Equation for Photosynthesis
Logan walked 2 1/2 miles on Monday and she walked
6 miles. How far did she walk on Tuesday?
Answers
Answer:
3 1/2 miles
Step-by-step explanation:
because 6 - 2 1/2 = 3 1/2
Pls HELP meeee. My child needs some real help I I wish I would’ve took those college lessons.
Answers
Answer:
75%
Step-by-step explanation:
100/64*48=75%
What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps
Answers
Answer:
laps per minute
Step-by-step explanation
because it is asking you to find the unit of laps per minute.