Consider the line segment AB shown the locations for point C makes ABC a right triangle with hypotenuse AB
C - C(2,3)How to find point C with hypotenuse ABIn a coordinate pair the points are as represented as (x, y).
The point that forms the right triangle is located by tracing the point on the x axis of of the point A and the point on the y axis of the point B. This is done below
A (2, 1) point on x axis here is 2B (9, 3) point on y axis here is 3therefore we can say that the point C that forms the right triangle is
C (2, 3)
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In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?
Answer:
18 in.
Step-by-step explanation:
I just took the quiz
Answer:
The dimenssion of BC is - 18in.
Step-by-step explanation:
Definition of circle:
The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.
Step 1:
in Δ\(ZFC\) and Δ\(ZFD\)
\(ZD = ZC\) ( Radius of the circle will be same )
\(ZF= ZF\) (Common side in both triangle)
\($\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C]\)
So from Side Angle Side theorem,
\($\triangle Z F C \cong \triangle Z f D$\)
So, \($F C=F D=18 in.\)
Step 2:
\($\triangle B C Z$\) and \($\triangle F C Z$\)
\($B Z=F Z \quad$\) (Given)
\(CZ = CZ\) (Common side in both the triangle)
\($\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$\) and \($$\overline{F 2} \perp \overline{D C}]$$\)
So from sides side angle theorem,
Δ\(BCZ\)≅ Δ\(FCZ\)
So, \(BC = FC\)
Hence \(BC = 18in.\)
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Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
IN A CLASS OF 40 STUDENTS, 25 PASSED THE TEST CONDUCTED BY THE CLASS TEACHER.WHAT PERCENTAGE OF STUDENTS FAILED?
Answer:
45%
Step-by-step explanation:
help plsssssssssss!!!!!!
Answer:
x = 1
r+7 = ..
5g = 9
8r = 12
A, C, D and F
What is the factored form of a quadratic with roots x = 5 and x = -11
Answer:
x=5×-11
this is the answer
Answer:
Step-by-step explanation:
X=11
X=-5
What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean 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.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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Adrian spent
5
8
of his weekly allowance. Three-fifths of the amount was spent
for food. What fraction of his weekly allowance did he spend for food?
You work at the grocery store part-time. You estimatethat you spend 3/5 of your time stocking shelves. Youwork 20 hours each week. How many hours of yourwork week do you spend stocking shelves?
Let be "x" the number of hours of your work week you spend stocking shelves.
According to the information provided in the exercise, you work a total of 20 hours each week and you spend 3/5 of that time stocking shelves.
You can write that fraction as a decimal number by dividing the numerator by de denominator:
\(\frac{3}{5}=0.6\)Then, to find the value of "x", you only need to multiply the total hours you work each week by 0.6.
Therefore, the result is:
\(\begin{gathered} x=(20hours)(0.6) \\ x=12\text{hours} \end{gathered}\)You spend 12 hours of your work week stocking shelves.
You have 25 marbles in a bag. Six are red, 5 are blue, 8 are green, and six are swirls. ON the first draw you get a swirl marble. It is not replaced. What is the probability of getting a swirl out, and then a blue?
Answer:
There are a total of 25 marbles, and one swirl marble has already been removed, leaving 24 marbles. There are 5 blue marbles remaining in the bag.
The probability of drawing a swirl on the first draw is 6/25, since there are 6 swirls out of 25 total marbles.
Since the marble is not replaced, there are now only 24 marbles in the bag. The probability of drawing a blue marble on the second draw is 5/24.
To find the probability of both events occurring together, we multiply the probabilities:
(6/25) * (5/24) = 1/20 or 0.05
Therefore, the probability of getting a swirl and then a blue marble is 1/20 or 0.05.
Step-by-step explanation:
2 4/5*1 1/12=
Help plz it’s for grade recovery
Answer:
3.03 (if you're rounding to nearest hundredth, 3 if nearest whole/tenth.
Simplify lol (5) 9+ lo (5) 21-lo (5) 7
Given:
Consider the given expression is
\(\log_59+\log_521-\log_57\)
To find:
The simplified form of the given expression.
Solution:
We have,
\(\log_59+\log_521-\log_57\)
It can be written as
\(=\log_5(9\times 21)-\log_57\) \([\because \log_ax+\log_ay=log_a(xy)]\)
\(=\log_5\dfrac{9\times 21}{7}\) \([\because \log_ax-\log_ay=log_a\dfrac{x}{y}]\)
\(=\log_5(9\times 3)\)
\(=\log_527\)
Therefore, the simplified form of the given expression is \(\log_527\).
I’m new to geometry and need help solving this I finished most of it but ran into a few problems. Someone walk me through it.
Explanation:
The equation is given below as
\(-4=-7n-4(1-2n)\)Step 1:
Open the parenthesis
\(\begin{gathered} -4=-7n-4(1-2n) \\ -4=-7n-4+8n \end{gathered}\)Step 2:
Collect similar terms
\(\begin{gathered} -4=-7n-4+8n \\ -4+4=-7n+8n \\ n=0 \end{gathered}\)Hence,
The final answer is
\(n=0\)WILL GIVE BRAINLIEST PLEASE HELP!
The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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Determine the interval(s)
on which the given function is-decreasing.
A function assigns the values. The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The interval for which the given function will be decreasing is from point A to point B, and then from point C to point D. Therefore, the interval will be (-∞, -1) and (0,∞). Hence, The interval for which the given function will be decreasing is (-∞, -1)∪(0,∞).
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The letters G, E, N, I, D, S are placed in a bag. What is the probability that the letters are randomly pulled from the bag in the order that spells DESIGN?
Answer as a fraction = 1/5040
Answer in decimal form (approximate) = 0.000198
Answer in percentage form (approximate) = 0.0198%
=========================================================
Explanation:
There is only one ordering of the letters to get DESIGN out of 5040 different permutations. The 5040 comes from the fact that 7*6*5*4*3*2*1 = 5040. In shorthand notation, use factorials to say 7! = 5040. Notice how we started with 7 and counted down until reaching 1, multiplying all along the way. You could use the nPr permutation formula to get the same result of 5040 (use n = 7 and r = 7).
So because we have 1 way to order the letters (getting DESIGN) out of 5040 ways total, this means the probability is the fraction 1/5040. Use your calculator to find that 1/5040 = 0.000198 approximately. Move the decimal over 2 spots to the right to convert 0.000198 to 0.0198%
Which is the graph of y = cos(x) + 3?
Answer:
Graph B on Edg
Step-by-step explanation:
Starts at 4 goes down to 2 then back up to 4
Maria's first step was to subtract 3x from bothsides of the equation : 5x-7=5x+4. Suppose she chose tosubtract 5x as her first step instead.What impact. If any, would this have on herprocess as she worked to solve the equation?Would it impact her final answer? Explain.
The equation :
5x-7=5x+4
If Maria should subtract 5x from both-side of the equation
The equation becomes
5x-5x -7 = 5x-5x +4
-7 =+4
whis is not true
-7 is not equatl to -4
Then there will be no solution to this equation
24 divided by 4 times d
Answer:
i think 6 not sure tho sorry if its worng
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck
The total distance from Timothy's house to his school was 9.18km. He travelled by bus for part of the journey and walked the rest of the way. The distance he walked was 7.95km less than the distance he travelled by bus. How far Timothy walk?
Step-by-step explanation:
let distance travelled by bus is X.
X+(x-7.95) = 9.18
2x =17.13
X = 8.565
distance he walked =0.615km
Solve the system of inequalities by graphing.
y ≥ 2
y < 4
Select a line to change it between solid and dotted. Select a region to shade it.
The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.
Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.
x ≥ –3; y ≥ x – 2
x > –3; 5y ≥ –4x – 10
x > –3; y ≥ –x + 1
x > –2; y ≥ –x – 1
The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).
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Is 83.77 an integer?
Answer:
It is not a integer, it is a rational number
Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!
Step-by-step explanation:
HELP MARK BRAINLIEST!
Answer:
y = -4/3x - 1
Suppose there are four shelves of books in a library with 12 books, 18 books, 25 books, and 30 books respectively. In how many ways can a person choose three books, one from each shelf? Explain the rule used to solve the problem.
Answer:
Step-by-step explanation:
To solve this problem, we can use the multiplication principle of counting, which states that if there are k choices for one task and m choices for a second task, then there are k x m choices for both tasks combined.
In this case, we can apply this principle to each shelf of books, as there are different numbers of books on each shelf. For the first shelf, there are 12 choices, for the second shelf there are 18 choices, for the third shelf there are 25 choices, and for the fourth shelf there are 30 choices.
To choose one book from each shelf, we need to multiply the number of choices for each shelf together, which gives us:
12 x 18 x 25 x 30 = 16,200,000
Therefore, there are 16,200,000 ways to choose three books, one from each shelf, in the library.
The total number of ways of choosing three books , one from each shelf is given by A = 162,000 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
There are 12 ways to choose a book from the first shelf, 18 ways to choose a book from the second shelf, 25 ways to choose a book from the third shelf, and 30 ways to choose a book from the fourth shelf
So , the total number of ways = 12 x 18 x 25 x 30
A = 162,000 ways
Hence , the combination is solved and there are 162,000 ways
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FIND THE VALUE OF UNKNOWN
Answer:
you have to suppose a imaginary parallel line at E cutting the angle b and find both angles by alternate and add them.
Solve The Following Problems
Answer:
1A. y=13
1B. Top and bottom angle are 124 and side angles are 56
2A. y=15
2b. Left angle = 80 Right angle = 100
Step-by-step explanation:
1 equal both equations together then solve for y. plug in y to get the angles
2 add both equations together then equal it to 180 degrees then solve for y. plug in y to get the angles
Step-by-step explanation:
For 1A
2y + 98° = 9y + 7° < being vertically opposite angles >
9y - 2y = 98° - 7°
7y = 91°
y = 13°
For 1B
9y + 7° = 9 * 13° + 7° = 124°
2y + 98° = 2 * 13° + 98° = 124°
The angles which are unknown are also vertically opposite angles so let unknown angles be x then
124° + 124 ° + x +x = 360° { being complete turn }
248° + 2x = 360°
2x = 112°
x = 56°
so all angles are 124° , 124° , 56°, 56°
For 2A
6y - 10 + 6y + 10 = 180° ( being linear pair)
12y = 180°
y= 15°
For 2B
6y - 10 = 6 * 15 - 10 = 80°
6y + 10 = 6 * 15 + 10 = 100°
Hope it will help :)
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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