The graph of the coordinate points of the vertices of ABCD indicates;
Part A The perimeter of ABCD ia approximately 61.2 units
Part B. The area of ABCD is 199.5 square units
What is the perimeter of a figure in geometry?The perimeter of a figure is length of the line that goes round the figure.
A. The perimeter of the polygon is the sum of the length of the sides of the polygon, which is found as follows;
AB = √((21-11)²+(11-(-1))²) ≈ 15.6
BC = √((21-26)²+(11-(-1))²) = 13
CD = √((26-2)²+(-1-(-8))²) = 25
AD = √((2-5)²+(-8-(-1))²) ≈ 7.6
The perimeter of the polygon = 15.6 + 13 + 25 + 7.6 = 61.2
The polygon has a perimeter of approximately 61.2 unitsB. Plotting the figure indicates that the figure consists of two triangles, ΔABC and ΔACD
The base length of triangle ΔABC = 26 - 5 = 21
The height of triangle ΔABC = 11 - (-1) = 12
The area of triangle ΔABC = 0.5 × 21 × 12 = 126
Base length of triangle ΔADC = 21
Height of triangle ΔADC = -1 - (-8) = 7
Area of triangle ΔADC = 0.5 × 21 × 7 = 73.5
Area of the composite figure is therefore;
A = 126 + 73.5 = 199.5
The area of the figure is therefore; 199.5 square units
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How many times greater is 1.88 times 10^2 than then mass of 2.35 times 10^-1
1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.
The two numbers given are:
1.88 times 10²
= 1.88 × 10²
And
2.35 times 10⁻¹
= 2.35 × 10⁻¹
We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.
We will use division for the same.
So, we get that:
= 1.88 × 10² / 2.35 × 10⁻¹
Using the rules of exponents and simplify the expression, we get that:
= 0.8 × 10 ²⁺¹
= 0.8 × 10³
= 0.8 × 1000
= 800
Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.
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Solve for an angle in right triangles
I just need the answer i don’t need the whole thing explained :)
Answer: ∠B≈39.81°
Step-by-step explanation:
[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]
24 greater than or equal to 2X - 10 less than -6
How to find correlation coefficient? I'm stuck pls help me
(0,1132), (1,1107), (2,1000), (3,1019)
The correlation coefficient of the data (0,1132), (1,1107), (2,1000), (3,1019) is -0.89
How to determine the correlation coefficient?Correlation coefficients are used to measure how strong a relationship is between two variables
Given: (0,1132), (1,1107), (2,1000), (3,1019)
x >>>> y >>>> x² >>>> y² >>>> xy
0 1132 0 1281424 0
1 1107 1 1225449 1107
2 1000 4 1000000 2000
3 1019 9 1038361 3057
................................................................................................
6 4258 14 4545234 6164
.................................................................................................
The formula for the correlation coefficient is:
r = ( n∑xy -(∑x)(∑y) ) / ( √(n∑x² - (∑x)²) .√(n∑y² - (∑y)²) )
From the table:
∑x = 6, ∑y = 4258, ∑x² = 14, ∑y² = 4545234 and ∑xy = 6164
n = 4 (number of data points)
Substituting the values into the formula will give:
r = ( 4×6164 -(6)(4258) ) / ( √(4×14 - (6)²) .√(4×4545234 - (4258²) )
r = 24656-25548 / √(20).√(50372)
r = -892/√(1007440)
r = -0.89
Therefore, the correlation coefficient is -0.89
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Parallelogram ABCD has vertices A(1,1) , B(17,1) , C(22,13) , and D(6,13) what is the area in units of parallelogram ABCD
The vertices of a parallelogram are given, according to which the area of the parallelogram will be equal to 58 units.
What is perimeter?The perimeter of a shape is its boundary's length, regarded as a whole. A form's circumference can be calculated by adding the lengths of all of its sides and edges. Utilizing linear length units like centimeters, millimeters, yards, and feet, it is determined.
The total of all a parallelogram's sides is its perimeter.
Firstly, solve for vertices AB:
AB = √(17- 1)² + (1 - 1)² = 16
Then,
BC = √(22 - 17)² + (13 - 1)² = 13
Then,
CD = √(6 - 22)² + (13 - 13)² = 16
Lastly,
AD = √(6 - 1)² + (13 - 1)² = 13
Add all the values,
P = 16 + 13 + 16 + 13
P = 58 units.
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Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.
uhmm,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer each question below, showing all work.
A local movie theater is showing a new movie this weekend. The theater sold 144 tickets. Adult
tickets cost $9.00 each and a child's ticket costs $6.00 each. The theater collected $1164.00 from these
ticket sales. How many adult tickets and how many children's tickets were sold? Only an algebraic
solution will be accepted.
Answer:
a=100, c=44
Step-by-step explanation:
# of adult tickets is represented by a
# of child tickets is represented by c
C+A=144
9a+6c=1164
system of equations is solved by solving 1 equation for 1 variable first.
c=144-a
plug in c in the second equation
9a+6(144-a)=1164
9a+864-6a=1164
combine like terms
3a=300
a=300/3
a=100
now we know a is 100 we can plug it into the original equation of c=a=144
c+100=144
c=144-100
c=44
in a field hockey championship, 120 matches were played. every pair of team played one match with each other. the number of teams in the tournament is therefore:
The number of teams in the field hockey championship tournament is 16.
The total number of matches played in the field hockey championship are 120 matches.
Each pair of team played one match with each other.
So, let us say that there are N teams in the tournament.
So, we can chose any two teams for a match,
So, applying the permutation formula,
ⁿC₂ = 120
Solving further,
N!/2!(N-2)! = 120
N(N-1)/2 = 120
N(N-1) = 240
On observing closely and applying hit and trial method,
16(15) = 240
So, the values of N is 16.
Hence, 16 teams participated in the tournament.
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Find X and Y, this was too hard for even my parents
Answer:
6x+97
Step-by-step explanation:
Hint: 3 sides of a triangle adds up to 180*.
((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)
Does-4y-3=1/3(12y-9)-8y
Blank 1 options
(Blank 1)
have one solution, no solution, or infinitely many solutions?
Answer:
infinite solution
Step-by-step explanation:
Since 0 = 0 for any value of y, the system of equations has infinite solutions.
16-2t=5t+9 One solution was found : t = 1 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Answer
Step-by-step explaination:
This is an algebraic equation. We have to solve it like this......
16-2t=5t+9
-5-2t=-16+9
-7t=-7
Ans: -7t=-7
Which of the following is true about the constant of proportionality? Select all that apply. Multiple select questions. cross out
A) The constant of proportionality is also the unit rate. cross out
B) The constant of proportionality is always equal to 1. cross out
C) The constant of proportionality is always equal to 0. cross out
D) There is no constant of proportionality in a nonproportional relationship. cross out
E) If two quantities are proportional, the constant of proportionality is the constant ratio between them.
Answer:
D
Step-by-step explanation:
Quadrilateral ABCD has vertices A(9, 9), B(—7, 9),
C(-8,-5), and D(4,-5). In terms of units, what is the
perimeter of quadrilateral ABCD?
Round your answer to the nearest tenth.
Answer:get a tutor
Step-by-step explanation:
its free
14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?
Answer:
42 workers
Step-by-step explanation:
27 divided by 9 = 3 (how much we need to multiply workers by)
14x3=42
For which value of 0 is sin 0=-1?
y
sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.
Given,
sin 0 = -1
We have to find the value of 0.
Lets see the trigonometric table for sin.
sin 0 = sin 0 = 0sin 30°= sin π/6 = 1/2sin 45° = sin π/4 = 1/√2sin 60° = sin π/3 = √3/2sin 90° = sin π/2 = 1sin 180° = sin π = 0sin 270° = sin 3π/2 = -1sin 360° = sin 2π = 0From the above table we get the value of sin 0
The value -1 is for sin 270° which is equal to sin 3π/2
That is,
sin 270° = sin 3π/2 = -1, the value of 0 is 270° or 3π/2.
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Compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4.
Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)
What does a coordinate mean in math?
a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).
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4. A triangle has two sides measuring 8 cm and 15 cm. Write an inequality to represent the possible lengths of the third side.
Answer:
7 < x < 23
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
15 - 8 < x < 15 + 8
7 < x < 23
1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6
Answer:
No solution
Step-by-step explanation:
The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.
Hope this helps.
Which units are used to measure both velocity and speed? Select three options.
m/s
d/t
km/h
mph
m2
Answer:
M/s, km/h, and mph
Step-by-step explanation:
M/s = meters (travelled) per second
km/h = kilometers (travelled) per hour
mph= miles (travelled) per hour
Answer:
m/s
km/h
mph
Step-by-step explanation:
: )
everyone can someone help me here please (complete solution and graph)
Answer:
1: x^2+y^2-6x-4y-3=0
2: x^2+y^2-10x+4y=0
3: x^2+y^2-10x+2y+1=0
PLEASE HELPPP ILL BRAINLIST/5 STAR.
The total surface area of a cube with a side length of 8cm is:
A) 513 cm square
B) 384 cm square
C) 96 cm square
D) 64 cm Square
The letter representing the gradient in the formula y = mx + c is:
A) y
B) m
C) x
D) c
The gradient and y - intercept of the line y = -3x + 4 is:
A) -3x and 4
B) 3 and 4
C) -3 and 4
D) 4 and -3
The gradient of the line passing through the points (3, -2) and (2,-3) is:
A) 1
B) -1
C) 3b (b+4) - 4 (b-5)
Answer:
1. 384 cm square
2. m
3. -3 and 4
4. 1
Answer:
1) B
2) B
3) C
4) A
Step-by-step explanation:
Area of cube:[tex]\sf \boxed{\text{Area of cube = $6a^2$}}[/tex]
Here, a is the side of the cube.
Area of cube = 6 * 8 * 8
= 384 square cm
Option B
2) y = mx + c.
Here, m is the slope or gradient and c is the y-intercept.
Option B
3) y = -3x + 4
Compare with y =mx + c,
where m is the gradient and c is the y-intercept.
m = -3 and = 4
Option C
4)
[tex]\sf Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\[/tex]
[tex]\sf =\dfrac{-3-[-2]}{2-3}\\\\=\dfrac{-3+2}{-1}\\\\=\dfrac{-1}{-1}\\\\=1[/tex]
Option A
how do i work this out please?
By evaluating the linear equation we will see that:
A = -3
B = 4
And the correct line is the purple one.
How to get the values of A and B?We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12
To find the value of A, we can replace the values of the point on the line, so we get:
3*0 - 4*A = 12
-4*A = 12
A = 12/-4 = -3
A = -3
To get the value of B we do the same thing.
3*B - 4*0 = 12
B = 12/3
B = 4
So the points are (0, -3) and (4, 0).
Then the correct line is the purple one.
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Please Help. The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds, is represented by the linear model y hat equals 4.8 plus 11.23 times t. If the dive duration is 5 seconds, what is the predicted depth of the dive?
0.02 feet
60.95 feet
−60.95 feet
−0.02 feet
Using the linear function, the depth of the dive at 5 seconds is 60.95 feet
Linear FunctionLinear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
In this question, we can represent the problem using a linear function or equation and plug in the value of our unknown.
y = 4.8 + 11.23t
Using this function, we can find the depth at 5 seconds;
y = 4.8 + 11.23(5)
y = 60.95ft
The depth of the whale at 5 seconds is 60.95 feet
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You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of sacks costs an inequality that represents the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneake
The inequality that represents the the possible numbers of x pairs of socks you can buy when you buy 2 pairs of sneakers, using a system of equations, is of:
y ≤ 7.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable in the context of the problem from which the system was built.
For this problem, the variables are given as follows:
Variable x: number of pairs of sneakers bought.Variable y: number of pairs of socks bought.You have a $250 card to use at a sporting goods store. Each pair of sneakers is worth $80 and a pair of socks costs $12, hence the inequality regarding the total spending is:
80x + 12y ≤ 250.
When two pairs of sneakers are bought, we have that:
x = 2.
Hence the inequality regarding how many pairs of socks can be bought is:
80(2) + 12y ≤ 250.
160 + 12y ≤ 250.
12y ≤ 90
y ≤ 90/12
y ≤ 7. (rounded down, as you can buy 7 pairs of socks but not 8).
Missing InformationThe cost of a pair of socks is of $12.
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Micah is making salsa at a factory using tomatoes
and onions in the ratio of 5:2. If the total volume
of salsa Micah makes is 147 cups, find the volume
of the tomatoes Micah uses.
Answer: 21 Tomatoes
Step-by-step explanation:
5 + 2 = 7
147 / 7 = 21
21 Tomatoes
A flower shop sells bouquets in a basic
arrangement and in a deluxe arrangement.
The table shows the sales of each type for
d days.
Arrangement
Basic
Deluxe
Cost ($)
17
25
Number Sold
8d-7
3d +6
Part A Write an expression that represents the difference between the number of basic
arrangements and deluxe arrangements sold.
Part B The store sells more basic arrangements than deluxe arrangements. After 7 days,
how much money will the store have earned on the number of basic arrangements that
exceeds the number of deluxe arrangements? Explain how you found your answer.
Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.
Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.
What does an expression mean?An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.
Part A: (8d-7)-(3d+6)
=8d-7-3d-6
=5d-13
Part B: For 7 days, d=7
Cost No. of sold
Basic 17 8(7)-7=49
Deluxe 25 3(7)+6=27
Therefore, Basic=17*49=$833
Deluxe=25*27=$675
Difference=833-675=158
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hi i need some help with this math problem
1 is value of x in given function.
What is the definition of a function?
An association between a value from the set of the first components of the ordered pairs and a specific value from the set of the second components is known as a function. a relationship between a set of inputs and a set of potential outputs, where each input is connected to only one possible output.f(x) = 2x + 4/6
put x = - 2 in equation
f(-2) = 2 * -2 + 4 /6
= -4 + 4 /6
= 0/6
= 1
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4) Simplify the expression and identify any restrictions on x.
Answer:
6X/X^2-2X+1
Step-by-step explanation:
x
2
−3x+2
9x
2
+18x
÷
2x−4
3x
2
+3x−6
Divide
x
2
−3x+2
9x
2
+18x
by
2x−4
3x
2
+3x−6
by multiplying
x
2
−3x+2
9x
2
+18x
by the reciprocal of
2x−4
3x
2
+3x−6
.
(x
2
−3x+2)(3x
2
+3x−6)
(9x
2
+18x)(2x−4)
Factor the expressions that are not already factored.
3(x−2)(x+2)(x−1)
2
2×9x(x−2)(x+2)
Cancel out 3(x−2)(x+2) in both numerator and denominator.
(x−1)
2
2×3x
Expand the expression.
x
2
−2x+1
6x
[24+9-(5x3)+10]÷2
what is the value of the following the expression
Answer:
14
Step-by-step explanation:
[tex](33 - (15) + 10) \div 2 \\ 33 - 15 + 10 \div 2 \\ 18 + 10 \div 2 \\ 28 \div 2 \\ = 14[/tex]
Answer:14
Step-by-step explanation:1/2 (24+9- 5 x 3 + 10
What is 27/31 in its simplest form
Answer:
27/31
Step-by-step explanation:
