Answer:
12.32 units
Step-by-step explanation:
Use the distance formula to find the lengths between two points:
[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
the distance between (-2, -1) and (-5,-1) is
[tex]\sqrt{(-2-(-5))^2+(-1-(-1))^2}[/tex]
=[tex]\sqrt{3^2+0^2}[/tex]
=[tex]\sqrt{9}[/tex]
=3
the distance between (-2, -1) and (-3, -4) is
[tex]\sqrt{(-2-(-3))^2+(-1-(-4))^2}[/tex]
=[tex]\sqrt{1^2+3^2}[/tex]
=[tex]\sqrt{10}[/tex]
≈3.16
the distance between (-6, -4) and (-3, -4) is
[tex]\sqrt{(-6-(-3))^2+(-4-(-4))^2}[/tex]
=[tex]\sqrt{(-3)^2+0^2}[/tex]
=[tex]\sqrt{9}[/tex]
=3
the distance between (-6, -4) and (-5, -1) is
[tex]\sqrt{(-6-(-5))^2+(-4-(-1)^2}[/tex]
=[tex]\sqrt{(-1)^2+3^2}[/tex]
=[tex]\sqrt{10}[/tex]
≈3.16
Now, add all the sides:
3+3.16+3+3.16=12.32 units
Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.
Robin tosses a pair of 6-sided dice. The odds in favor of the sum of the 2 dice rolls being greater than 8 are 5:13.
What is the probability that the sum of the 2 dice rolls will not be greater than 8?
The probability that the sum of the 2 dice rolls will not be greater than 8 are 8 : 13.
How to evaluate for the probabilityWhen the probability of an event occurring is know, it is easy to calculate the probability that the event does not occur. Hence, If P(A) is the probability of event A, then 1 - P(A) is the probability that the event does not occur.
the probability that the sum of the 2 dice rolls being greater than 8 are expressed in the ratio 5:13 and expressed in fraction as 5/13
then;
probability that the sum of the 2 dice rolls will not be greater than 8 = 1 - 5/13
probability that the sum of the 2 dice rolls will not be greater than 8 = (13 - 5)/13
probability that the sum of the 2 dice rolls will not be greater than 8 = 8/13
Therefore probability that the sum of the 2 dice rolls will not be greater than 8 can be expression as the ratio 8 : 13
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What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-5, 4)(−5,4)?
The slope of the line that passes through the points (-5, 8)and (−5,4) is undefined.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the points (-5, 8)and (−5,4).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (4-8) / (-5 + 5)
m = -4/0
The slope is undefined.
Therefore, the slope is undefined.
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What is the additive inverse of a 3 by 2 by 3?
The Additive inverse of 3/2 is -2/3.
Additive Reciprocal
An additive reciprocal is a number that is added to a given number to bring the sum to zero. For example, adding -3 to the number 3 will result in zero. So the additive reciprocal of 3 is -3. In our daily life, we come across situations where we cancel the value of a quantity by forming its additive reciprocal.
Additive Reciprocal in Fraction:
The additive reciprocal of the fraction a/b is -a/b and vice versa. This is because a/b + (-a/b) = 0. The additive reciprocal of a positive fraction is the same fraction with a negative sign, but for negative fractions the additive reciprocal is the same fraction without a negative sign.
Given, the number is 2/3
We have to find the additive inverse of the given number.
In mathematics, the additive inverse of a number ‘a’ is the number that, when added to ‘a’, yields zero.
So, 2/3 + (-2/3)= 0
Therefore, the additive inverse of 2/3 is -2/3.
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help Rn help please help
Answer: b is right angel triangle 90 degrees
b - c is straight line that adds up to 180 degrees
9 is the height for sin, cos and sine
Step-by-step explanation:
What is the factor of 3x² 12xy?
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. Finally, we divide the y terms, y divided by y is 1. Therefore, the factor of 3x² 12xy is 3x².
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. This means that the x part of the factor is 3x. Next, we divide the y terms, y divided by y is 1. This means that the y part of the factor is y. When we combine the two parts, 3x and y, we get the factor of 3x². Therefore, the factor of 3x² 12xy is 3x². This means that 3x² is a factor of 12xy, which can be seen by multiplying 3x² by 4y, which results in 12xy. This shows that 3x² is a factor of 12xy.
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help lol, will mark brainlest
a=11
Hope this Helped! :T
Harry wants to buy a MP3 player that costs $46.95. He has $10.25 in his piggy bank. He gets $4.25 for allowance each week. How many weeks will he have to save to have enough money for the MP3 player? I NEED THIS NOW
Answer: If Henry wants to buy the MP3 player he needs 9weeks worth of allowance.
Step-by-step explanation:
Please help due soon pleaseeee!!!!!! Help
Answer:
see attached
Step-by-step explanation:
Given the pictorial equations, you want to know the single-digit values of each of the images.
EquationsThere are 6 equations in 5 unknowns, but no numerical values are assigned. Solving the equations will only give ratios of values. From those, we need to determine the numerical values that will keep all numbers in the range 1–9.
Let the icons be represented by letter variables as follows:
hat = hboot = bsock = stennis shoe = tmitten = mRewriting the equations to standard form, we have ...
h +b -m -s = 0 . . . . . [eq1]
h -b +t = 0 . . . . . . . . [eq2]
b -3s = 0 . . . . . . . . . [eq3]
h -s -t +m = 0 . . . . . [eq4]
h +2s -m = 0 . . . . . . [eq5]
h +b +s -2t = 0 . . . . . [eq6]
SolutionWe can add [eq4] to [eq1] and [eq5] to eliminate the m variable.
(h +b -m -s) +(h -s -t +m) = 0 ⇒ 2h +b -2s -t = 0 . . . . [eq7]
(h +2s -m) +(h -s -t +m) = 0 ⇒ 2h +s -t = 0 . . . . . . . . . [eq8]
Adding [eq2] to [eq6], and [eq7] will eliminate the b variable.
(h +b +s -2t) +(h -b +t) = 0 ⇒ 2h +s -t = 0 . . . . same as [eq8]; no help
(2h +b -2s -t) +(h -b +t) = 0 ⇒ 3h -2s = 0 . . . . . [eq9]
Now, we have 3 equations in 4 unknowns:
b -3s = 0 . . . . . . . [eq3]
3h -2s = 0 . . . . . . [eq9]
2h +s -t = 0 . . . . . [eq8]
The smallest positive integer values that will satisfy [eq9] are ...
h = 2, s = 3
Using these in the remaining equations gives ...
b -3·3 = 0 ⇒ b = 9
2·2 +3 -t = 0 ⇒ t = 7
And we can find m using [eq5]:
m = h +2s = 2 +2·3 = 8
Then the solution is ...
hat = 2boot = 9sock = 3tennis shoe = 7mitten = 8If f(1)=1 f(2)=2 and f(n)=2f(n-1)+3f(n-2) then find the value of f(6).
Answer:
f(6) = 182
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(3) = 2f(2) + 3f(1) = 2(2) + 3(1) = 4 + 3 = 7
f(4) = 2f(3) + 3f(2) = 2(7) + 3(2) = 14 + 6 = 20
f(5) = 2f(4) + 3f(3) = 2(20) + 3(7) = 40 + 21 = 61
f(6) = 2f(5) + 3f(4) = 2(61) + 3(20) = 122 + 60 = 182
Answer:
-486
Step-by-step explanation:
How do the faces of
a three-dimensional figure determine che
two-dimensional shapes created by slicing
the figure?
The process of the faces of a three-dimensional figure determine two-dimensional shapes created by slicing the figure is explained below.
The term three dimensional figure is defined as solid shapes or figures that have three dimensions.
Basically these kind of shapes has length, width and height are the dimensions of 3D shapes and the common names of these shapes are cube, cuboid, cone, cylinder and sphere.
Where as the two dimensional figure is defined as horizontal and vertical axes that is x-axis and y-axis) and it is also known as 2d shapes are flat figures that have only length and width. And thus shapes do not have thickness or height.
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In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
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Help me please this is due in 10 minutes.
Answer:
Top left quadrant (Quadrant 2)
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
Step-by-step explanation:
Answer:
Your answer is D
Step-by-step explanation:
Your base is 7cm. The hypotenuse is 2x or 2(7)=14 and the height is x[tex]\sqrt{3[/tex] or 7[tex]\sqrt3[/tex]
What is the value of angle ABC?
Answer:
74
Step-by-step explanation:
HELP LAST QUESTION......
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest
container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?
Answer:
9424.78cm^3
3141.59cm^3
6282.67 cm^3
Step-by-step explanation:
the equation for a cylinder's volume is pi(r)^2(height)
The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3 (remember the units!)
The volume of t he smallest cylinder is 1/3 the largest or: 9424.78/3 = 3141.59cm^3 (remember the units!)
The volume of the medium cylinder is 2/3 the largest or 9424.78(2/3) = 6282.67 cm^3
Is 5 an algebraic term?
5 is not an algebraic expression.
Since it is obvious that 5 is a constant, even if constants constitute a component of the algebraic equation, they do not finish it. A variable and an operator are also necessary for an expression to qualify as an algebraic expression. Any unknown term, such as x, y, or z, can be a variable, and the operators + and - can be used. Terms with no associated variables are known as constants. A variable and an operator are also necessary for an expression to qualify as an algebraic expression.
It follows that 5 cannot be an algebraic expression.
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Sally’s wallet contains:
5 quarters
3 dimes
8 nickels
4 pennies
A coin is drawn from the purse and replaced 240 times. How many times can you predict that a nickle or a penny will be drawn?
Answer:
Nickles: 96 times
Penny: 48 times
Step-by-step explanation:
5+3+8+4 = 20 coins in total
20x = 240
x=12 (chance of a coin being picked)
8 nickles(12) = 96
4 pennies(12) = 48
If , what is the truncation error for S4?
Truncation error for S4 is 0.037.
What is Truncation Error?Truncation errors are defined as the errors formed when we use approximation instead of actual procedures.
Given is a series.
S4 means,
6/(3¹) + 6/(3²) + 6/(3³) + 6/(3⁴)
The actual sum of these values gives,
2 + 0.6666..7 + 0.2222.. + 0.074074...
= 2.962962..
≈ 2.963
Truncation error = 3 - 2.963 = 0.037
Hence the truncation error is 0.037.
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PIE CHART question, PLEASE dont guess. im USING ALL MY POINTS and brainiest
Answer
its the last one
What equation represents this sentence?
5 less than a number is 12.
5=n-12
n-5=12
5-n=12
5=12-n
ill give brainliest its due at 11:59 its 8pm
Answer:
I'm sure its 5=n-12 :))))
7. The West Warriors scored 25 points. This was 12 points less than the Flinn Falcons.
Write and solve an equation to find how many points the Flinn Falcons scored.
8 x 10000 + 0 x 1000 + 2 x 100 + n + 6 x 1 . what is n
Step-by-step explanation:
8 × 10000 + 0×1000 + 2× 100 + n + 6 x 1=0
80000 + 0 + 200 + n + 6 =0
80206n = 0
n = -80206
Which of the following statements correctly describes the graph? A. The graph represents a nonlinear function with a constant rate of change. B. The graph represents a nonlinear function with an increasing rate of change. C. The graph represents a linear function with a constant rate of change.
The statement that correctly describes the graph is given as follows:
C. The graph represents a linear function with a constant rate of change.
How to classify the functions as linear or non-linear?A function is classified as linear or non-linear depending on the rate of change of the function.
If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.
Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.
As the graph presented at the end of the answer shows a linear function with constant slope, it has a constant rate of change, thus it is linear and option c is correct.
Missing InformationThe graph is given by the image presented at the end of the answer.
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What are the real roots of the equation x2 3 x1 3 − 2?
The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.
The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.
But,
Let y = x^(1/3)
The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.
Solving for the roots of this equation,
y² + y - 2 = 0
(y + 2)(y - 1) = 0
y = -2 ; y = 1
Substitute the value of y and solve for x.
y = x^(1/3)
-2 = x^(1/3) ; 1 = x^(1/3)
x = -8 ; x = 1
Therefore, the real roots of the equation is 1 and -8.
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please help!!! write the equation of the line in fully simplified slope intercept form
Answer:
y=[tex]-\frac{1}{4}[/tex] x -6
Step-by-step explanation:
y=mx+b is the slope-intercept formula, m representing the slope and the b representing the y-intercept. Pick two points shown in the graph,
such as (4,-7) and (8,-8) and use what is called rise over run. This means you count the distance between these two points by subtracting the y values (rise) and placing the difference in a fraction over the difference between the x values (run). This is where you get the fraction [tex]\frac{1}{4}[/tex]. Because the slope is going down from left to right, it means that the slope is negative, hence the [tex]-\frac{1}{4}[/tex]. The y-intercept is the point where the line intercepts the y-axis, which in this case is -6, so if you replace the representative letters with the corresponding numbers in the slope-intercept formula, the answer is y=[tex]-\frac{1}{4}[/tex] x -6.
What is the Area of an equilateral triangle whose sides are 8 feet long each?
Answer:
27.71281 ft
Step-by-step explanation:
Someone help please, picture attached
Answer:
6
Step-by-step explanation:
x² + 8² = 10²
x² + 64 = 100
x² = 36
x = 6
Exponential from Two Points (Level 1)
Write an exponential function in the form y = ab* that goes through points (0, 13)
and (2, 325).
a = 13. b^0 = 1, y=a(1), 13 = a 325 = 13(b)^2 b^2 = 325/13 = 25
b = sqr25 = 5 y=13(5)^x is the exponential equation going through the two given points
What is Exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a. If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential. In quadratic equations, your functions were always to the 2nd power. In exponential functions, the exponent is a variableTo learn more about Exponential function refers to:
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When rolling a fair, eight-ided number cube, determine P(number greater than 4). (A) 0. 25
(B) 0. 50
(C) 0. 66
(D) 0. 75
The correct answer is (D) 0.75. The probability of rolling a number greater than 4 on a fair, eight-sided number cube is 0.75 or 75%
We know that there are 8 possible outcomes when rolling the number cube (1, 2, 3, 4, 5, 6, 7, 8). Of these 8 outcomes, 5 of them are numbers greater than 4 (5, 6, 7, 8). So, the number of favorable outcomes is 5.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes: P(number greater than 4) = 5/8. As a decimal, this is 0.625. However, the question asked for P(number greater than 4) which means we have to add 0.125 to 0.625, the answer is 0.75.
Therefore, the probability of rolling a number greater than 4 on a fair, eight-sided number cube is 0.75 or 75%. This means that if we roll the cube many times, we expect 75% of the rolls to be numbers greater than 4.
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Is the first side “WX and ZX” or “WX and XZ?”
This is sss congruence
Answer:
WX ZX
Step-by-step explanation:
If you fold it at the line of symmitry then w and x are at the same point