Answer:
The answer is option C.
(1 ,4)
Step-by-step explanation:
Transformation in 90° clockwise is
( x , y ) → ( y , - x)
So J
( - 4 , 1) → ( 1 ,4)
Hope this helps you
The area of the triangle below is ___ sq. units.
4
17
Hey there! :)
Answer:
C. 34 units².
Step-by-step explanation:
Use the formula for a triangle:
A = 1/2(bh)
Plug in the base and height into the equation:
A = 1/2(17 · 4)
A = 1/2 (68)
Simplify:
A = 34 units².
Answer:
C. 34
Step-by-step explanation:
Base x Height
there are 4 blue counters and 3 red counters in a bag. Suzy put some more red counters into the bag. The ratio between blue and red counters is now 2:5. How many red counters did suzy put into the bag
Answer:
i think suzy will put 15 red counters into the bag
Step-by-step explanation:
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answer:
C. 40 cm
Step-by-step explanation:
length of side of square = s
perimeter = s + s + s + s = 4s
We use the formula P = 4s
P = 4 * 10 cm
P = 40 cm
Answer: The perimeter is 40 cm.
Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.
An area has square units such as cm^2, in.^2, ft^2, etc.
Answer:
Hey !! Side of square = 10 cm. Therefore, Perimeter of square = 4 × ( Side ) = 4 × 10 = 40 cm
I holpe it helps pleas mark me
Step-by-step explanation:
Which of the following is a conditional statement?
Question 1 options:
A)
If Alex studies for the geometry exam, then he will pass.
B)
Alex often fails geometry exams, but he passed this one.
C)
Alex studies for geometry exams, and he often passes.
D)
Either Alex goes to track practice, or he studies for the geometry exam.
How many six digit numbers can be created using 8, 0, 1, 3, 7, and 5 if each number is used only once?
Answer:
720
Step-by-step explanation:
It;s 6!
= 720.
There are 720 six digits number can be made.
What is factorial?The factorial of a whole number is the function that multiplies the number by every natural number below it. Symbolically, a factorial can be represented by using the symbol "!". So, "n factorial" is the product of the first n natural numbers and is represented as n!.
So n! or "n factorial" means:
n! = 1 · 2 · 3 · ... · n = Product of the first n positive integers = n(n-1)(n-2)…………………….(3)(2)(1)
The formula for n factorial is: n! = n × (n - 1)!
n! = n × (n - 1)!
This means that the factorial of any number is, the given number, multiplied by the factorial of the previous number. So, 8! = 8 × 7!...... And 9! = 9 × 8!...... The factorial of 10 will be 10! = 10 × 9!...... Like this if we have (n+1) factorial then it can be written as, (n+1)! = (n+1) × n!. Let us see some examples.
Given:
Digits are: 8, 0, 1, 3, 7, and 5
There total 6 digits.
So, number of 6 digits can be made is = 6!
= 6*5*4*3*2*1
= 720
Learn more about factorial here:
https://brainly.com/question/16003649
#SPJ5
sin law or cos law?!!!!!!!!!!!!!
Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]
Step 1: Solve for m∠B
[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]
25sinx = 27sin36°
sinx = 27sin36°/25
[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]
m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
Which matrix represents the system of equations shown below 2x=13 and 3x-2y=11
Answer:
A. Matrix A
Step-by-step explanation:
When you put a systems of linear equations in matrix form, you take only the coefficients of the xy terms and sort them. x goes first, y comes after, and the numbers after the bars are the constants.
Answer:
matrix a
Step-by-step explanation:
a-p-e-x
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
Answer:
The correct option is;
1560 = 30(52) + b
Step-by-step explanation:
The cost of the first job = $1,200 in labor and expenses
The number of hours worked in the first job = 40
The second job costs $1,560 in labor and expenses
The number of hours worked in the second job = 52
If the cost of labor per hour = L and the expenses = b, we have;
$1,200 = 40×L + b......................(1)
$1,560 = 52×L + b.......................(2)
Subtracting equation (1) from (2), we have;
52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360
12×L = $360
L = $360/12 = $30/hour
From equation (1), we have;
$1,200 = 40×L + X = 40×$30 + b
Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;
1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b
Which of these statements correctly describes the function y=9x−7?\ .............A It is a linear function, and its graph is a straight line. .............B It is a linear function, but its graph is not a straight line. ...............C It is not a linear function, but its graph is a straight line. ..............D It is not a linear function, and its graph is not a straight line.
Answer: A
Step-by-step explanation: There's a constant growth (slope) of y by 9 for every 1 value of x. This makes it a linear function. A linear function, by default, makes a straight line when graphed. (Unless its domain is restricted but this doesn't apply to your question.
POD #13
On Friday, Mica has $22.50 in her bank
account. Mica goes to the market to get
groceries for the week and ends up spending
more than planned. When Mica checks her
account, she now has a balance of $-48.15.
How much money did Mica spend at the
market?
Can u plz help me create a equation with a variable for the math problem plz?
Answer:
She spent $70.65.
Step-by-step explanation:
Represent the amount spent by x.
Then $22.50 - x = -$48.15.
Combining like terms, we get:
$22.50 + $48.15 = x, or
x = $70.65
She spent $70.65.
Help asap please It says. the graph of the relation:y=x^2-2. Use the graph to find the domain and range using interval notation. What did I do wrong for the one with the x.
Answer:
The mistake you made is that it should be [-2, infinity) not (-2, infinity).
Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner
Answer:
It takes 3 more gallons to fill the tank.
Step-by-step explanation:
6-3=3
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red
(R) and two marbles are green(G)
Steve takes a marble at random from the bag.
(i) What is the probability that Steve will take a blue marble.
(ii) What is the probability that Steve will take a green marble.
(iii) What is the probability that Steve will take a yellow marble.
Answer:
i. 4/8 or 1/2, ii. 2/8 or 1/4, iii. 0/8
Step-by-step explanation:
In the problem it says that there are 8 marbles in total, so for number 1 it'll be 4/8 or 1/2 since 4 of the marbles are blue. Number 2 will be 2/8 because there are only 2 green marbles and you can simplify 2/8 to 1/4. The last one would be 0 since the problem didn't mention that there are yellow marbles. Hope this helps :)
how many square yards are contained in a rectangle 12 yards long and 8 yards wide
Answer:
96
Step-by-step explanation:
This is an educated guess. If you think about it, when you draw a 12x8 rectangle, youre just finding the area╮(╯▽╰)╭
Answer:96
Step-by-step explanation:
Helpppp meeee do ths
Answer:
7/10
Step-by-step explanation:
10 dishes
3 meat dishes = ( chicken, hamburger, meatloaf)
10-3 = 7 that are not meat
P ( not meat) = not meat / total
=7/10
Answer:
7/10
Step-by-step explanation:
There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.
Hope that was helpful!
(Brainliest???) :P
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0
Answer:
a = -3 b = -5 and c = 9
Step-by-step explanation:
−3x^2 − 5x + 9 = 0
The quadratic function is written as
ax^2 + bx+c =0
So a = -3 b = -5 and c = 9
Answer:
a = -3, b = -5 and c = 9
Step-by-step explanation:
Given Quadratic Equation is:
=> [tex]-3x^2-5x+9[/tex]
Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get
=> a = -3, b = -5 and c = 9
Beth is knitting mittens and gloves. Each pair must be processed on three machines. Each pair of mittens requires 2 minutes on Machine A, 2 minutes on Machine B, and 4 minutes on Machine C. Each pair of gloves requires 4 minutes on Machine A, 2 minutes on Machine B, and 1 minute on Machine C. Machine A, B, and C are available 32, 18, and 24 minutes, respectively, everyday. The profit on a pair of mittens is $8.00 and on a pair of gloves is $10.00.
Answer:
Two mittens and seven gloves
Step-by-step explanation:
I presume you are asking how many mittens and how many gloves Beth should knit to produce the most profit.
Let x = the number of mittens and
Let y = the number of gloves
1. Summarize the information in a table
[tex]\begin{array}{cccc}&\textbf{Mittens}& \textbf{ Gloves} & \textbf{Minutes Available}\\\text{Machine A} & 2 & 4 & 32\\\text{Machine B} & 2 & 2 & 18\\\text{Machine C} & 4 & 1 & 24\\\text{Unit profit} & $8.00 & $10.00 & \\\end{array}[/tex]
2. List the constraints
(a) Beth can't make a negative number of mittens, so
x ≥ 0.
(b) Neither can she make a negative number of gloves, so
y ≥ 0.
(c) The total number of minutes on Machine A cannot exceed 32, so
2x + 4y ≤ 32.
(d) The total number of minutes on Machine B cannot exceed 18, so
2x + 2y ≤ 18.
(e) The total number of minutes on Machine C cannot exceed 24, so
4x + y ≤ 24.
3. Write an equation for the profit
P = 8.00x + 10.00y
4. Graph the constraints to identify the feasible region
See the figure below. The feasible region is the dark green area where all three regions overlap.
5. Determine the points of intersection between the constraints
(i) Constraints (c) and (d)
[tex]\begin{array}{rcr}2x + 4y & = & 32\\2x + 2y & = & 18\\2y & = & 14\\y & = & \mathbf{7}\\2x + 14 & = & 18\\2x & = &4\\x & = & \mathbf{2}\\\end{array}\\[/tex]
The lines intersect at (2,7).
(ii) Constraints (c) and (e)
[tex]\begin{array}{rcl}2x + 4y & = & 32\\4x + y & = & 24\\4x + 8y & = & 64\\7y & = & 40\\y & = & \mathbf{\dfrac{40}{7}}\\\\4x + \dfrac{40}{7} & = & 24\\\\4x & = &24 - \dfrac{40}{7}\\\\4x & = & \dfrac{128}{7}\\\\x & = & \mathbf{\dfrac{32}{7}}\\\\\end{array}\\[/tex]
The lines intersect at (27/7,32/7).
(iii) Constraints (d) and (e)
[tex]\begin{array}{rcr}2x + 2y & = & 18\\4x + y & = & 24\\4x + 4y & = & 36\\3y & = & 12\\y & = & \mathbf{4}\\4x +4 & = & 24\\4x & = &20\\x & = & \mathbf{5}\\\end{array}\\[/tex]
The lines intersect at (5,4).
6. Determine the x- and y-intercepts of the feasible region
(i) x-intercept
[tex]\begin{array}{rcr}4x + y & = & 24\\4x + 0 & = & 24\\x & = & \mathbf{6}\\\end{array}[/tex]
The x-intercept is at (6,0).
(ii) y-intercept
[tex]\begin{array}{rcr}2x + 4y & = &32\\2(0) + 4y & = &32\\4y & = & 32\\y & = & \mathbf{8}\\\end{array}[/tex]
The y-intercept is at (0,8).
The five black dots are the vertices of the polygon that represents the feasible region.
7. Calculate the maximum profit
Calculate the profit at each of the vertices.
(i) At (0,0)
P = 8.00x + 10.00y = 8.00(0) + 10.00(0) = 0 + 0 = $0
(ii) At (2,7)
P = 8.00(2) + 10.00(7) = 16 + 70 = $86
(iii) At (5,4)
P = 8.00(5) + 10.00(4) = 40 + 40 = $80
(iv) At (6,0)
P = 8.00(6) + 10.00(0) = 48 + 0 = $48
The maximum profit occurs at (2,7)
Thus, Beth should knit two mittens and seven gloves.
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.
Answer:
The distance between X and Y is 68m
Step-by-step explanation:
Consider the diagram attached:
A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.
We have to find distance XY.
Let the distance XY be x
Total distance covered by the person = XY + YZ
We know that total distance covered is 100m, so
100m = x + YZ
YZ = (100 - x)m
See the diagram, XZY forms a right angled triangle such that:
Hypotenuse = XY = x
Base = XZ = 60m
Perpendicular = YZ = (100-x)m
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
x² = (60)² + (100-x)²
Solve the equation for x, we get:
x = 68m
In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic
Answer:
D) Convenice
Step-by-step explanation:
People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey
In 6 years, John will be 3 times the age he was 2 years ago. What is his current age?
7
U8
5
Answer:
John is currently 6 years old.
Step-by-step explanation:
2 years ago: x years
Current time: x+2
In 6 years: x+8
EQUATION:
3(x)=x+8= 3x=x+8
(subract x from both sides)
2x=8
x=4
Therefore, John is 6 years old in current time
Helppp meh help meh help
Answer:
Step-by-step explanation:
There are 10 possibilities, so we know the denominator is going to be 10.
There are 4 vegetables, so the numerator will be 4.
4/10 is equal to 2/5.
The answer is 2/5.
If this helped, mark brainliest :D
Answer:
the 1st one, 2/5
Step-by-step explanation:
2 broccoli + 2 carrot = 4 vegetable
2 broccoli + 2 carrot + 2 cake + 1 chicken + 2 fish + 1 meatloaf = 10 food
4 vegetable / 10 food = 2/5
Use the diagram at the right to answer questions 7-11.
7. Find the measure of a
8. Find the measure of b.
9. Find the measure of e.
10. Find the measure of h.
11. Find the measure of i.
Answer:
7. a= 110°
8. b= 70°
9. e= 140°
10. h= 150°
11. i= 150°
Step-by-step explanation:
I put the following rules in case you forgot them:
First Rule : Sum of angles of the triangle is 180°.
um of angles of the triangle is 180°
Second Rule : Sum of supplementary angles (angles of straight angle) is 180°.
Third Rule : Vertically Opposite Angles are equal.
7. Find the measure of a
a= 180° - 30° - 40° = 110° (using first rule i wrote it above)
8. Find the measure of b.
b= 180° - a = 180°- 110°= 70° (using second rule where a and b are supplementary angles)
9. Find the measure of e.
e= 180° - 40°= 140° (second rule where angles 40° and e are supplementary)
10. Find the measure of h.
h= 180° - 30°= 150° (second rule where h and the angle 30° are supplementary angles)
11. Find the measure of i.
i = h = 150° (third rule where i and h are vertically opposite angles)
Hope this helps.. Good Luck!
Find the value of the trigonometric ratio, cos L.
Answer:
b/h
Step-by-step explanation:
remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.
Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.
A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.
Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
Step-by-step explanation:
Answer: The answer is C.
Step-by-step explanation: I did the test and it was right
What is the value of x when the Richter
scale rating is 7.5? Round your answer
to the nearest hundredth.
Answer: explain it a bit more
Step-by-step explanation:
Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?
Answer:
Number of mice = 6
Number of birds = 8
Step-by-step explanation:
Given:
Total number of heads = 14
Total number of legs = 40
Find:
Number of birds
Number of mice
Computation:
Assume,
Number of birds = x
Number of mice = y
So,
x + y = 14
x = 14 - y.............Eq1
We know that mice have 4 legs and birds have 2
So,
2x + 4y = 40
x + 2y = 20............Eq2
From Eq1 and Eq2
14 - y + 2y = 20
y = 6
Number of mice = 6
x = 14 - y
x = 8
Number of birds = 8
PLEASE ANSWER ASAP. IM TIMED ASAP please
Answer:
5 loaves
Step-by-step explanation:
13 and 1/3 cups of flour is 40/3 as an improper fraction. 2 and 2/3 cups of flour is 8/3 as an improper fraction. So, 40/3 divided by 8/3 is 5 --> 5 loaves.
Answer:
5 loaves
Step-by-step explanation:
[tex]13\frac{1}{3}/2\frac{2}{3}=\\\\\frac{40}{3}/\frac{8}{3}=\\\\\frac{40}{3}*\frac{3}{8}=\\\\\frac{120}{24}=\\\\5[/tex]
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
For this case, the first thing we are going to do is write the equation that represents this problem.
We then have to define variables:
x: number of guests
y: total cost
The equation modeling the problem is given by:
We observe that the equation is linear.
The appropriate scales for the problem are:
Horizontal axis: 1 in 1 starting from 0.
Vertical axis: $ 20 in $ 20 starting from 0.
The average body temperature of a lemming is 98.6 degrees Fahrenheit. The
temperature is considered abnormal if it is more than 1.5 degrees above or below that.
Write the absolute value inequality that represents this.
Answer:
[tex]|x - 98.6| > 1.5[/tex]
Step-by-step explanation:
Given
Temperature = 98.6F
Range = 1.5F
Required
Write the absolute value inequality
Let the temperature be represented by x
We start by writing an expression for the difference between x and 98.6.
This can be written as x - 98.6
From the question, we understand that this difference is more than 1.5F
Representing this using absolute value inequality; we have
[tex]|x - 98.6| > 1.5[/tex]
Solving further; this gives
[tex]x - 98.6 > 1.5[/tex] or [tex]x - 98.6 < -1.5[/tex]
Make x the subject of formula in both cases
[tex]x >98.6 +1.5[/tex] or [tex]x < 98.6-1.5[/tex]
[tex]x >100.1[/tex] or [tex]x < 97.1[/tex]
This can be rewritten as
[tex]x >100.1[/tex] or [tex]97.1>x[/tex]
Combining these two inequalities;
[tex]97.1 > x > 100.1[/tex]
Hence;
The absolute inequality is [tex]|x - 98.6| > 1.5[/tex]
And the range of value is [tex]97.1 > x > 100.1[/tex]
Which of the following represents fourth root of x cubed in exponential form? (6 points) x to the four thirds power 3x4 x to the three fourths power 4x3
Answer:
x 3/4
Step-by-step explanation: