Answer:
We equate the two expressions since they both pass through the center of the circle.
The coordinate of the center of the circle is (2,4)
Step-by-step explanation:
From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.
Since both equations would pass through the center of the circle, we equate them.
So, -2x+8 = 3x-2
Solving for x, we have
3x + 2x = 8 + 2
5x = 10
x = 10/5
x = 2
Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.
y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4
So, the coordinate of the center of the circle is (2,4)
Personal Answer:
The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.
Plato Sample Answer:
Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.
I hope this helps!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
496000$
Step-by-step explanation:
AN EQUATION AND AN EQUALITY BOTH ALWAYS HAVE ONLY ONE SOLUTION?
TRUE
FALSE
Answer:
False
Step-by-step explanation:
Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)
There are five blue marbles and seven orange marbles in a jar Misha Jaws one blue marble and set it aside what is the probability that Mesa will randomly drawn orange marble from the remaining marbles in jar
Answer:
7/11
Step-by-step explanation:
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.HELP I NEED HELP IN FINDING THE AREA OF THIS SHAPE
PLZ SHOW HOW U GOT IT THIS IS THE SECONF TIME I ASKED
Answer:
18 units² if that's a parallelogram
Step-by-step explanation:
parallelogram area is BxH, so 6×3.
I also learned that like 5 minutes ago so it may be wrong.
Can anyone help with this math problem ?
Which best explains at which restaurant the average meal costs the most money?
Restaurant 1, because the interquartile range of Restaurant 1 is greater
Restaurant 1, because more of the graph is located to the right of the median
Restaurant 2, because the median of Restaurant 2 is greater
Restaurant 2, because the range of Restaurant 2 is greater
answer:
d). Restaurant 2, because the range of Restaurant 2 is greater
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
Round to the nearest hundredth please answer I really need it
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7) .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places
Find the area of this circle. Use 3.14 for piπ.
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2Heyy anybodyy help me please!
Answer: They are both tesselate shapes
Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate
Charlie has 8 flowers. 3 of them are yellow and the rest are pink. How many flowers are pink.
Answer:
5 flowers are pink
Step-by-step explanation:
Answer:
There are 5 pink flowers.
Step-by-step explanation:
8 flowers - 3 flowers = 5 flowers
hope this helps :)
Alicia buys a 8-pound bag of rocks for a fish tank. She uses 3 1/8 pounds for a large fish bowl. How much is left? (Rename the 8 pound bag of rocks. Then subtract to find the correct answer.)
Answer:
4 7/8
Step-by-step explanation:
Total pound=8
Total used=3 1/8
Leftover=?
8-3 1/8
=8-25/8
L.C.M of 8 and 25/8 is 8
=.64-25 /8
=39/8
=4 7/8
Help me with this pls!
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)
Answer:
The slope is 3
Step-by-step explanation:
The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)
The slope of the line given is 3.
What is a slope of a line?Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Given is a line passing through points (-2, -3) (-4, -9), we need to find its slope,
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-
y₂-y₁ / x₂-x₁
Here, (x₁, y₁) and (x₂, y₂) are (-2, -3) (-4, -9)
So, the slope is = -9+3 / -4+2 = -6 / -2 = 3
Hence, the slope of the line given is 3.
Learn more about slopes, click;
https://brainly.com/question/3605446
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What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answer:
A. 144 units³
Step-by-step explanation:
Volume of prism= 1/2×height× base × length
Height= 3
Base= 8
Length= 12
Lets put all of these together
1/2×3 × 8 × 12
1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³
The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 10 buses with 410 students. High School B rented and filled 10 vans and 12 buses with 556 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Answer:
A van can carry 15 students and a bus can carry 966 students
What is the perimeter of the quadrilateral
shown below?
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
I need some help with this.
Answer:
Sin A = 4/5
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin A = 40/50
Sin A = 4/5
Answer:
0.8
Step-by-step explanation:
SinA = opposite/hypotenuse
= CB/CA
= 40/50
= 4/5
= 0.8
In how many ways can you arrange nine CDs one after another on a shelf?
Answer:
The number of arrangements of the 9 CDs along a shelf is 362,880.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ :)
Answer:
the answer to your question is 362880
find the LCD OF 11/15 AND 23/54
Answer:270
Step-by-step explanation: You have the first step right.
54 = 2 * 3^3
15 = 3 * 5
The common denominator will have the highest powers of all the prime factors.
2 * 3^3 * 5
270
A lifeguard sits in a chair that is 2.3 metres high. She spots a child in trouble in the
water at an angle of depression of 32◦. How far out from the base of the chair is the child?
Answer:
base= 3.681 metres far
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 1.01229 rad = 58°
b = a·sin(B)/sin(A) = 4.34028
c = a·sin(C)/sin(A) = 3.68077
Area =ab·sin(C) /2
= 4.23288
Perimeter p = a + b + c = 10.32105
Semiperimeter s =a + b +c/2
= 5.16053
Height ha =2×Area/a
= 3.68077
Height hb = 2×Area/b
= 1.95051
Height hc = 2×Area/c
= 2.3
Median ma = √(a/2)2 + c2 - ac·cos(B) = 3.85624
Median mb = √(b/2)2 + a2 - ab·cos(C) = 2.17014
Median mc = √(c/2)2 + b2 - bc·cos(A) = 2.94568
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The y is the variable.
There’s a imaginary -1 in front of the y
Find the sum of (x + 4) and (3x + 2) *
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
What is perimeter of rectangle JKLM?
Answer: 16 units
Step-by-step explanation:
Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16
a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dimensions of rectangles A and B.
Dimensions of:
Rectangle A are 6 cm by 4 cm.
Rectangles B are 6 cm by 2 cm.
Step-by-step explanation:
It is given that:
The area of square is 36 cm^2.
Hence, the side of the square is given as:
Area=(side)²
36=(side)²
side=6
Hence, the side of square is 6 cm.
Now, as the area of two rectangles A and B are in the ratio:
2:1
This means that, the area of rectangle A is 24 cm².
and area of rectangle B is 12 cm²
( Since, 36/(2+1)=36/3=12
Area of rectangle A=2×12=24 cm²
Area of rectangle B=1×12=12 cm². )
Hence, the dimensions of A are:
6 cm by 4 cm.
and the dimensions of rectangle B are:
6 cm by 2 cm.
helpppp pls
Members at the Star Theater pay $30.00 per month plus $1.95 for each movie. Nonmembers pay the regular $7.95 admission fee. How many movies would both a member and a nonmember have to see in a month to pay the same amount?
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Answer:
18.75
Step-by-step explanation:
75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
You need a z-score of at least 1.09 to get accepted.
