The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have angle GHJ = 82 units
Length of GH = 12 units
We know:
s = 2πr(θ/360)
s = (2π)12(82/360)
s = 17.17 units
Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.
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Please help with my math!!!!!
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
How to determine the line equation by knowing its slope and a point
According to analytical geometry, we could know the equation of the line by means of the point-slope equation:
y - y₁ = m · (x - x₁) (1)
Where:
x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - SlopeIf we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:
y + 3 = -(1/3) · (x + 3)
y + 3 = -x/3 -1
y = -x/3 - 4
Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
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Find the value of X
A. 32
3. 48
C. 92
D. 64
3.
Which is a true statement about two numerical sets of data that have positive
association?
How to work out the mode
Answer:
mode
is the most common frequent value
What is the circumference of the given circle in terms of pi.
A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.
Aryll measures the water depth at the end of her dock. Waves are coming in, so the water level keeps changing.
The graph below shows the water level, h, in feet, t seconds after she began measuring. Approximately how much time passes between consecutive waves?
Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.
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Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA
Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality
Reset Next
You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
Transitive Property of Equality
Step-by-step explanation:
in a class of 32 students there are 8 girls who played basket ball and 5 boys who did not
(a) 12 boys play basketball
(b) See figure 2 below
==========================================================
Explanation:
Part (a)
You are on the right track so far when you wrote the partial table.
There are 15 girls in the class, and 8 girls that play basketball. That must mean 15-8 = 7 girls do not play basketball.
Focusing on the first row only, we'll have 7 go in the second column and 15 go in the third column. The first row is filled out entirely.
There are 32 students and 15 girls. This means there are 32-15 = 17 boys. We'll write 17 at the end of the second row.
The other missing value of this row is 17-5 = 12 to represent the number of boys who play basketball. This is because of the 5 boys that don't play basketball.
To fill out the missing items in the third row, add the columns straight down.
We have 8+12 = 20 basketball players and 7+5 = 12 people who do not play basketball. Notice how 20+12 = 32 along the bottom row to help confirm the correct values.
Check out figure 1 to see the entire two-way frequency table.
We see that there are 12 boys that play basketball.
------------------------------------------------
Part (b)
The previous part detailed how to set up the two-way frequency table.
For this part, we'll be creating the two-way relative frequency table. The keyword "relative" means that we'll divide each item by the grand total 32.
For instance, in the first row & first column we have 8/32 = 0.25; do the same with the other values. Do not round. The reason for this is because each decimal item is a terminal decimal, meaning the digits stop at some point. If your teacher instructs you to round, then be sure to follow those instructions of course.
Check out figure 2 so you can see the two-way relative frequency table.
A result like 0.25 in the first row & first column tells us that 25% of the class is a girl and plays basketball.
Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]
Help me i dont get this
Answer:
Step-by-step explanation:
88 / 184 ≈ 0.48
96 / 184 ≈ 0.52
104 / 166 ≈ 0.63
62 / 166 ≈ 0.37
Find the volume of the cylinder.
Answer:
120 i am sorry if i am wrong
Step-by-step explanation:
the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong
Marsha sold 78 boxes of cookies. 51 boxes
were chocolate mint cookies. Of the remainder
sold, 1/3 were peanut butter crunchies. How many
boxes of peanut butter crunchies did Marsha sell?
Answer: 9
Step-by-step explanation:
78 subtract 51 is 27. One third of 27 is 9.
#95 will give brainliest to best answer!
Answer:
3/10
Step-by-step explanation:
The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.
Hope this helps! :)
Question: Write an equation for this.
You have total 100 coins
that consist of 50 cents
and 10 cents. The total
money is 34 dollar. Find the
number of the 50 cent
coin.
To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.
System of EquationThe given data in this problem are
number of coins = 10050 cents = x10 cents = yamount = $34The system of equations can be written as
[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]
Let's start with equation (i)
[tex]x + y = 100\\\\y = 100 - x[/tex]
Substitute equation (iii) into equation (ii)
[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]
From the calculations above, the number of 50 cents coins are 60.
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Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?
After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c square - 4c
Perfect square formula/rules:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-2ab+b^2=(a-b)^2[/tex]Trinomials are often organized like [tex]ax^2+bx+c[/tex].
The b value in this case is c, and it will always equal the square of half of the b value.
Perfect square trinomial: [tex]ax^2+bx+(\dfrac{b}{2})^2[/tex]or [tex]ax^2-bx+(\dfrac{b}{2})^2[/tex]Solving the QuestionWe're given:
[tex]c^2-4c[/tex]In a trinomial, we're given the [tex]ax^2[/tex] and [tex]bx[/tex] values. a in this case is 1 and b in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
4 ÷ 2 = 22² = 4Therefore, the term that we can add is + 4.
[tex]c^2-4c+4[/tex]
To write this as the square of a bracketed expression, we can follow the rule [tex]a^2-2ab+b^2=(a-b)^2[/tex]:
[tex](c-2)^2[/tex]
Answer[tex]c^2-4c+4[/tex]
[tex](c-2)^2[/tex]
In a class of 30 students, 18 have a cat and 17 have a dog. There are 7 students who
have a cat and a dog. What is the probability thatla student chosen randomly from the
class has a cat and a dog?
The probability of having cats and dogs is 7/30.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Definitions of Probability Theory Terms
The probability terminology listed below aid in a better comprehension of probability concepts.
Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.
Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.
Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).
Trial: To conduct a trial is to conduct a random experiment.
Given:
total students = 30
students have cat = 17
student have dog = 17
students have both =7
So, the probability of having cats and dogs
=7/30
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Find the product of (x + 7)(x - 7).
x2 - 14x + 49
x2 - 49
x2 + 14x + 49
x2 + 49
Answer:
x² - 49
Step-by-step explanation:
Identity: (a + b)(a - b) = a² - b²Here a = x and b = 7
(x +7) (a -7) = x² - 7²
= x² - 49
Answer:[tex]x^{2} -49[/tex]
Step-by-step explanation:
The expression 3200(1.06)^t represents the
enrollment of a high school t years after 2000.
describe how the enrollment changes
each year.
a. increases 1.06%
b. increases 6%
c. decreases 1.06%
d. decreases 6%
Expression 3200(1.06)^t represents the enrollment of a high school t years after 2000 will increase by 6%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
The given expression is as follows:-
= 3200 ( 1.06 ) [tex],^t[/tex]
Here when the time has increased the percentage is also increased by 6%.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. Ray
Step-by-step explanation:
Point: A dot in an exact location or position on a plane surface.
Line: A straight line that goes on infinitely in both directions and has no endpoints.
Line segment: A line between two points on each end.
Ray: A line with one endpoint and extends in one direction infinitely.
Can someone please help me
Answer:
1. a=3
2. a=3
3. a=9
Step-by-step explanation:
1. 9/a+9-4=12-56/8+3
We move all terms to the left:
9/a+9-4-(12-56/8+3)=0
Domain of the equation: a=0
a∈R
We add all the numbers together, and all the variables
9/a+9-4-8=0
We add all the numbers together, and all the variables
9/a-3=0
We multiply all the terms by the denominator
-3*a+9=0
We add all the numbers together, and all the variables
-3a+9=0
We move all terms containing a to the left, all other terms to the right
-3a=-9
a=-9/-3
a=+3
The Pyramid of the Sun in Mexico is a square pyramid. The base edge is approximately 220 meters, and the height is approximately 70 meters.
What is the approximate surface area of the sides of the pyramid to the nearest thousand square meters?
The surface area of the square pyramid will be 105768.98 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.
Given that:-
The base edge is approximately 220 metersThe height is approximately 70 metersThe surface area of the pyramid will be:-
[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]
SA = 48400 + 440 √17000
SA = 48400 + 57368
SA = 105768.98 square meters
Therefore the surface area of the square pyramid will be 105768.98 square meters.
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rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through thursday and 15 hours total over the next five days rashanda plays at a steady rate explain why her claim is or is not accurate
Answer:
Not accurate
Step-by-step explanation:
3+9+9=21
For each number, name its opposite.
a. -5
b. 0.5
c. -2
d. 28
e. -10.4
f. 0.875
g. -8,003
h. 0
Answer:
a. 5
b. 1
c. 2
d. -28
e. 10.4
f. 11.41
g. 8003
h. 1
Find the x-intercept and y-intercept of the line.
6x - 3y = 6
x intercept:
y intercept:
Answer:
Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)
Step-by-step explanation:
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 2 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
The probability of winning the game on your next turn is; 14%
How to find the Probability of Winning?The sample size of the two number cubes, when rolled is:
n = 36
The number of outcomes that give a sum of 2 or 5 is 5,
And the outcomes are (1, 1) (2, 3) (3, 2) (1, 4) (4, 1)
The probability is the quotient of the number of outcomes of the sum of 2 or 5 and the total outcomes.
Thus,
Probability = 5/36 * 100% = 13.89% ≈ 14%
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Tyrone receives a discount of $8.40 on a hat that normally costs $28.00 .
what percent discount did he receive on the hat
explain how you know
please explain for me
Answer:
30%
Step-by-step explanation:
percentage = (discount/total amount)*100
= (8.40/28)*100=30%
Can someone help me with this
In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. the next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. what is the cost of one toy car? $1 for one car $2 for one car $4 for one car $8 for one car
Answer:
$2
Step-by-step explanation:
see photo for solution
