Answer:
9.9
Step-by-step explanation:
We can use the Pythagorean theorem to solve. The legs are both 7 and we are booking for the hypotenuse
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
7^2+7^2 = c^2
49+49 = c^2
98 =c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
9.899494937=c
9.9 = c
Which statements about the relationship between the two triangles below are true? Check all that apply,
Answer:
I don't know, because i really don't know
What is 10+2
Please I need help
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Check the picture below
Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
translation of a units to the right and b units up
reflection across the y-axis
reflection across the x-axis
rotation of 90 degrees counterclockwise about the origin, point O
rotation of 180 degrees counterclockwise about the origin, point O
rotation of 270 degrees counterclockwise about the origin, point O
please use this format:
T(x, y) = (x + 6, y)
T<6, 0>(x, y) = (x + 6, y)
T6, 0(x, y) = (x + 6, y)
Answer:
[tex](a)\ T_{a,b} =(x +a,y+b)[/tex]
[tex](b)\ F_{y\ axis} = (-x,y)[/tex]
[tex](c)\ F_{x\ axis} = (x,-y)[/tex]
[tex](d)\ R_{o,90^o} = (-y,x)[/tex]
[tex](e)\ R_{o,180^o} = (-x,-y)[/tex]
[tex](f)\ R_{o,270^o} = (y,-x)[/tex]
Step-by-step explanation:
Solving (a): Translate a units right, b units up
When a function is translated a units right, the number of units will be added to the x coordinate
When a function is translated b units up, the number of units will be added to the y coordinate.
So, we have:
[tex]T_{a,b} =(x +a,y+b)[/tex]
Solving (b): Reflect across y-axis
When a function is translated across the y-axis, the x coordinate gets negated.
So, we have:
[tex]F_{y\ axis} = (-x,y)[/tex]
Solving (c): Reflect across x-axis
When a function is translated across the x-axis, the y coordinate gets negated.
So, we have:
[tex]F_{x\ axis} = (x,-y)[/tex]
Solving (d): 90 degrees rotation counterclockwise
When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.
So, we have:
[tex]R_{o,90^o} = (-y,x)[/tex]
Solving (e): 180 degrees rotation counterclockwise
When a function is rotated 180 degrees counterclockwise, the coordinates are negated.
So, we have:
[tex]R_{o,180^o} = (-x,-y)[/tex]
Solving (f): 270 degrees rotation counterclockwise
When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.
So, we have:
[tex]R_{o,270^o} = (y,-x)[/tex]
Help with this please!
Answer:
A
Step-by-step explanation:
The correct answer is A
5 times a number less than 50 is 250 what is the number
Answer:
x = -40
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
50 - 5x = 250
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 50 on both sides: -5x = 200[Division property of Equality] Divide -5 on both sides: x = -40What are the values for matrix A?: 1 2 3 4 1 3 4 5 6 7 8 Noo 4 1 0 0 9 6 7 8 10 12 14 15 16 13 14 14 15 16
The values for matrix A is [1].
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
Also, at the value of matrix are repeated in resultant Matrix.
Then, the Matrix is that Quantity which does not affect the Matrix after multiplication.
Then, the matrix A is [1].
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A canoeist traveling with the current traveled the 24 miles between two riverside campsites in 2 hours. The return trip against the current took 3 hours. Find the speed of the canoeist in still water and the speed of the current, both in miles per hour.
Answer:
Speed of canoiest is 10 miles/hour.
Speed of current is 2 miles/hour.
Step-by-step explanation:
Let the speed of canoiest is v and the speed of current is u.
distance = speed x time
24 = (v + u ) x 2
v + u = 12 ..... (1)
Now
24 = (v- u) x 3
v - u = 8 .... (2)
By solving (1) and (2)
2 v = 20
v = 10 miles/hour
u = 2 miles/hour
Wilbur spent $27 on a magazine and some notepads. If the magazine cost $3 and
each notepad cost $3, then how many notepads did he buy?
A) 11
B) 9
C) 8
D)12
Answer:
d 12
Step-by-step explanation:
27-3=24÷3=12 do the mathssssss
Answer:
If it was 11, it would be 33 dollars which is over the total so its not a.
It can't be b because that would be 27, and that would be on just notebooks not magazine
24 is correct because he baught one magazine so + 3 which is the total so it is C
Step-by-step explanation:
3.3 A circle has a radius of 12cm. An angle of 3.2 radians is subtended at the centre by an arc. Calculate the length of the arc. (3)
Answer:
S = 38.4 centimeters.
Step-by-step explanation:
Given the following data;
Radius, r = 12 cmAngle = 3.2 radsTo find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
S is the length of the arc.A is the angle measured in radians.Substituting into the formula, we have;
S = 12 * 3.2
S = 38.4 centimeters.
A precise statement of the qualities of an idea, object, or process is called a
O A. theorem
O B. proof
C. definition
D. common notion
Answer:
C. definition
Step-by-step explanation:
A precise statement of the qualities of an idea, object, or process is called a definition. Hence, option (C) is answer.
Solve the equation for all values of xx.
−3x(x−3)(x 2 +16)=0
Answer:
x = 0 or x = 3
Step-by-step explanation:
-3x(x-3)(x^2+16)=0
3x = 0
x-3 = 0
x^2+16 =0 (not possible with real numbers)
x = 0, x= 3
Hence,
x = 0 or x =3
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write the following decimal number in word 0.969?
Answer:
nine hundred sixty
nine thousandths
Step-by-step explanation:
Plz help, fill in the blanks in order
In a class of 5 , there are 3 students who have done their homework. If the teacher 2 chooses 2 2 students, what is the probability that none of them have done their homework?
Answer:
2 over 5
Step-by-step explanation:
This means out of 5 students only three did their work so 5-3=2
And the number of students who did their work over the total number of students in the class to find the probability
The probability that none of them have done their homework is 0.57%
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that there are 3 students who have done their homework.
If the teacher 2 chooses 2 students, then;
Total no. of Outcomes= 5
Students who did their homework = 3
Students who didn't do their homework is 5-3 = 2
Probability of no. of students who haven't done their homework.
P(e)= 2/5
Thus P(students who haven't done homework) P(e)=0.57%
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The length of a ladder leaning against a building is 60 feet. The ladder hits the building at the top of the building. The distance to the building from where the ladder touches the ground is 15 feet. What is the height of the building to the nearest foot?
A. 38ft
B. 48ft
C. 58ft
D. 68ft
Answer:
C. 58ft
Step-by-step explanation:
An imaginary triangle is described here. The hypotenuse is 60, and one of the other sides is 15.
60*60=3600
15*15=225
3600-225=3375
sqrt3375=58.09
round that to get 58ft
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased black sweaters. If you select a customer at random, what is the probability that they purchased a green or a gray sweater
Answer:
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
P(A)= the probability that they purchased a green sweaterP(B)= the probability that they purchased a gray sweaterMutually exclusive eventsYou know:
8 purchased green sweaters4 purchased gray sweatersnumber of possible cases= 12 + 8 + 4+ 7= 21So:
[tex]P(A)=\frac{8}{31}[/tex][tex]P(B)=\frac{4}{31}[/tex]P(A⋂B) = 0Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= [tex]\frac{8}{31}+ \frac{4}{31}[/tex]
P(A∪B)= [tex]\frac{12}{31}[/tex]
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
A triangle is rotated 90º about the origin. Which rule describes the transformation?
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses?
Answer:
243840000 people
Step-by-step explanation:
The total sample size = 1000
Samole proportion of those who wear corrective lenses :
p = x / n ; n = sample size
p = 762 / 1000 = 0.762
To predict the number of people who wear corrective lenses :
Total population * p
320,000,000 * 0.762
= 243840000 people
Answer:
243840000
Step-by-step explanation:
n-1 increased by 110%
Answer:
2.1n-2.1
Step-by-step explanation:
The increase is
1.10 (n-1)= 1.1n -1.1
Add this to the original amount
(n-1) + 1.1n - 1.1
2.1n-2.1
please help me out! i absoluten don’t get this :(
Answer:
Option B
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,
m = [tex]\frac{-1+2}{3+5}[/tex]
m = [tex]\frac{1}{8}[/tex]
Equation of the line passing through (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of the line passing through (3, -1) and slope = [tex]\frac{1}{8}[/tex] will be,
[tex]y+1=\frac{1}{8}(x-3)[/tex]
[tex]y=\frac{1}{8}x-\frac{3}{8}-1[/tex]
[tex]y=\frac{1}{8}x-\frac{11}{8}[/tex]
Option B will be the answer.
A company has recently been hiring new employees. Today the company has35%more employees than it did a year ago. If there are currently43,200employees,how many employees did the company have a year ago
Answer:
The company had 32,000 employees a year ago.
Step-by-step explanation:
Last year, the company had x employees.
Today the company has 35% more employees than it did a year ago.
So now it has 100% + 35% = 135% of last year, that is, 1.35x
There are currently 43,200 employees
So
[tex]1.35x = 43200[/tex]
How many employees did the company have a year ago?
We have to solve the equation for x. So
[tex]x = \frac{43200}{1.35} = 32000[/tex]
The company had 32,000 employees a year ago.
Suppose that the functions s and t are defined for all real numbers x as follows.
s (x)=x-2
t(x) = 4x+3
Write the expressions for (s +t)(x) and (s – t)(x) and evaluate (s.t)(1).
Answer:
[tex](s + t)(x)= 5x+1[/tex]
[tex](s - t)(x)= -3x-5[/tex]
[tex](s.t)(1) = -7[/tex]
Step-by-step explanation:
Given
[tex]s(x) = x - 2[/tex]
[tex]t(x) = 4x + 3[/tex]
Solving (a): (s + t)(x)
This is calculated as:
[tex](s + t)(x)= s(x) + t(x)[/tex]
[tex](s + t)(x)= x-2 + 4x + 3[/tex]
Collect like terms
[tex](s + t)(x)= x+ 4x-2 + 3[/tex]
[tex](s + t)(x)= 5x+1[/tex]
Solving (b): (s - t)(x)
This is calculated as:
[tex](s - t)(x)= s(x) - t(x)[/tex]
[tex](s - t)(x)= x-2 - 4x - 3[/tex]
Collect like terms
[tex](s - t)(x)= x- 4x-2 - 3[/tex]
[tex](s - t)(x)= -3x-5[/tex]
Solving (b): (s . t)(1)
First, we calculate (s.t)(x)
This is calculated as:
[tex](s.t)(x) = s(x)* t(x)[/tex]
So, we have:
[tex](s.t)(x) = (x - 2) * (4x + 3)[/tex]
Substitute 1 for x
[tex](s.t)(1) = (1 - 2) * (4*1 + 3)[/tex]
[tex](s.t)(1) = - 1 * 7[/tex]
[tex](s.t)(1) = -7[/tex]
HELP ME PLS!!!!!
Which of the following is | 5-12i |?
A) -√119
B) √119
C) −13
D)13
Answer:
D) 13
[tex]\sqrt{169} = 13[/tex]
Step-by-step explanation:
Alonzo finish history assignment and 5/8 hours then he completed his math assignment and 1/3 hours what was the total amount of time allowed to spend doing these two assignments
Step-by-step explanation:
The answer is 5/8 + 1/3
Answer = 5*3 /(8*3) +8/24 =23/24
Answer = 23/24
does anyone know how to do this help please
Answer:
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
Step-by-step explanation:
A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,
[tex]\rm\implies y = x^2+x - 6 [/tex]
Here we need to substitute the different values of x , to get the different values of y.
Put x = -3 :-
[tex]\rm\implies y = 3^2-3-6\\ [/tex]
[tex]\rm\implies y = 9 - 3 - 6 \\[/tex]
[tex]\rm\implies y = 0 [/tex]
Put x = -2 :-
[tex]\rm\implies y = 2^2-2-6\\ [/tex]
[tex]\rm\implies y = 4 -2-6\\[/tex]
[tex]\rm\implies y = -4 [/tex]
Put x = -1 :-
[tex]\rm\implies y = -1^2-1-6\\[/tex]
[tex]\rm\implies y = 1 -1-6 \\[/tex]
[tex]\rm\implies y = -6 [/tex]
Put x = 1 :-
[tex]\rm\implies y = 1^2+1-6\\ [/tex]
[tex]\rm\implies y = 2 -6[/tex]
[tex]\rm\implies y = -4[/tex]
Put x = 2 :-
[tex]\rm\implies y = 2^2+2-6\\ [/tex]
[tex]\rm\implies y = 4 +2-6\\ [/tex]
[tex]\rm\implies y = 2[/tex]
Put x = 3 :-
[tex]\rm\implies y = 3^2+3-6\\ [/tex]
[tex]\rm\implies y = 9 +3-6\\ [/tex]
[tex]\rm\implies y = 6 [/tex]
Final table :-
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
Help me determine Rise/run
Answer:
The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)
This fraction can be reduced so your answer is 3/2
Triangle A B C is a right triangle. Find the missing side length.
a = 12, b = ? , c = 15
Please answer becuase I’m having a really hard time lol Thanks!
Answer:
9
Step-by-step explanation:
a² + b² = c^2
12^2 + b^2 = 15^2
144 + b^ = 225
225 - 144= 81
b^2 = 81
square root both sides
b = 9
Use a calculator to find the mean of the data. {21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}
Answer:
The mean of the data is 21.41
Step-by-step explanation:
To find the mean of a data set you must...
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
The mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.
What is mean?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.
We have a data set:
{21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}
As we know from the definition of the mean:
The mean can be calculated using the formula:
Mean = sum of the data set/number of the data in the data set
Mean = 471/22
Mean = 21.409 ≈ 21.41
Thus, the mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.
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One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for a total of $34. Find the rental cost for each movie and each video game.
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4
Can I get help with this? Easy points!
9514 1404 393
Answer:
maximum: 0minimum: -16Step-by-step explanation:
A graphing calculator can quickly show you the boundaries of the feasible region, and can calculate the values of the objective function.