Answer:
None
Step-by-step explanation:
You wrote:
"Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square"
According to what you wrote, you don't have any of the listed quadrilaterals.
ABCD (in that precise order) is not a simple polygon according to the coordinates of the points since there is an internal intersection of sides.
ABDC, though, is a rectangle.
The quadrilateral with points A(0,0), B(5,0), C(0,4) and D(5,4) is a rectangle, option B is correct.
To find the type of quadrilateral find the length of four sides:
For A(0,0) and B(5,0)
AB=√(5-0)²+(0-0)²
AB=5 units
For B(5,0) and D(5,4)
BD=√(5-5)²+(4-0)²
BD=√16
BD=4 units
For C(0,4) and D(5,4):
BD=√(5-0)²+(4-4)²
=5 units
For A(0,0) and C(0,4):
AC=√(0-0)²+(4-0)²
= 4 units.
In the quadrilateral the opposite sides are equal, so it is a rectangle.
Hence, the quadrilateral is a rectangle. Option B is correct.
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Complete question:
Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4)
(A) Parallelogram
(B) Rectangle
(C) Rhombus
(D)Square
i need help with this
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
The cost of renting a car is $39 plus $0.75 per mile. Which type of
function can represent this situation?
A) linear
B) exponential
Answer:
linear
Step-by-step explanation:
We can write this in the form
y = mx+b
where m is the .75 per mile and b is the 39 dollars
y = .75x + 39
Veronica wants to check her work after evaluating Negative 108 divided by (negative 6). What steps can she follow to verify her answer?
Answer:
The answer to your question is 18
Step-by-step explanation:
Process
1.- Write the fraction given
[tex]\frac{-108}{-6}[/tex]
2.- Divide the numbers as usual
18
6 108
48
0
3.- Divide the signs
negative / negative = positive
4.- Write the answer
[tex]\frac{-108}{-6}= 18[/tex]
5.- Check the result
Multiply 18 by -6 and the result must be -108
-6 x 18 = 108
We know a negative times a negative is equal to a positive.
- 108 / - 6 is the same as 108 / 6 because the larger number is on top.
Therefore she can drop the negative signs and solve 108/6 to verify her answer.
Please answer this in two minutes
Answer:
54
Step-by-step explanation:
im not that good so u should cheek it first
Answer: 9a + 249
Step-by-step explanation: 9a + 249 and a would be one cause these numbers are independent
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Answer:
See below.
Step-by-step explanation:
The perimeter = 2*length + 2 * width.
As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:
The measure of the 2 lengths = 3/ (3+2) * 60
= 3/5 * 60
= 36 cm
So the measure of the length = 18 cm
So the measure of the width = (60 - 36) / 2
= 24/2
= 12 cm.
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
Answer:
interquartile range=20.55
Step-by-step explanation:
5.6, 11.1, 19.2, 24.5, 33.3
median is 19.2
Q1=(5.6+11.1)/2=8.35
Q3=(24.5+33.3)/2=28.9
interquartile range= Q3-Q1=28.9-8.35=20.55
If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''
Answer:
0.03333 or 1/30
Step-by-step explanation:
Let A =" I go sailing" and B = "it does not rain"
P(A) = 0.03
P(B) =0.90
Since I never go sailing when it rains, P(A and B) =0.03.
Therefore, the (conditional) probability that I go sailing, given that it does not rain is:
[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]
The probability is 0.03333 or 1/30.
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
Select the correct product of the exponential expression.
6^4
Answer:
1,296
Step-by-step explanation:
Answer:
1,296
Step-by-step explanation:
Well 6 to the 4th power is also,
6*6*6*6 which is 1,296.
(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2 – 3x Which function represents the sum of the areas of the two triangles? (a) 4x (b)–4x (c) x2 – 4x (d) 2x2 – 2x
Answer:
D
Step-by-step explanation:
Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas
The sum can be found by adding the area of triangle A to the area of triangle B
That would be;
x^2 + x + x^2-3x = 2x^2 -2x
Answer:
d
Step-by-step explanation:
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answer:
y=3x+5
Step-by-step explanation:
What is the slope intercept form of the equation of the line that passes through the points (7,-5) and (3,-9)?
Answer:
1
Step-by-step explanation:
y2 - y1 divided by x2 - x1
-9 + 5 = -4
3 - 7 = -4
-4/-4 = 1
What is the volume of the cone?
What is the volume of the cylinder?
What is the volume of the sphere?
At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain.
Hint: Which shapes gives you more clay for less money?
Answer:
[tex]Volume = 1017.36\ in^3[/tex] -- Cone
[tex]Volume = 3052.08\ in^3[/tex] -- Cylinder
[tex]Volume = 3052.08\ in^3[/tex] -- Sphere
Best Buy: Sphere Clay
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
CONECalculating VolumeThe volume of a cone is calculated as thus;
[tex]Volume = \frac{1}{3}\pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{1}{3} * 3.14 * 9^2 * 12[/tex]
[tex]Volume = \frac{3052.08}{3}[/tex]
[tex]Volume = 1017.36\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 1017.36\ in^3[/tex]
[tex]Total\ Cost = \$12[/tex] (Given)
[tex]Volume:Price = \frac{1017.36\ in^3}{\$ 12}[/tex]
[tex]Volume:Price = 84.78 in^3/\$[/tex]
[tex]Volume:Price = 84.78 in^3:\$1[/tex]
CYLINDERCalculating VolumeThe volume of a cylinder is calculated as thus;
[tex]Volume = \pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = 3.14 * 9^2 * 12[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$30[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 30}[/tex]
[tex]Volume:Price = 101.736\ in^3/\$[/tex]
[tex]Volume:Price = 101.736\ in^3:\$1[/tex]
SPHERECalculating VolumeThe volume of a sphereis calculated as thus;
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
From the attached diagram
Radius, r = 9 inches; and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{4}{3} * 3.14 * 9^3[/tex]
[tex]Volume = \frac{9156.24}{3}[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume-Price ratioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$28[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 28}[/tex]
[tex]Volume:Price = 109.003\ in^3/\$[/tex]
[tex]Volume:Price = 109.003\ in^3:\$1[/tex]
Comparing the Volume:Price ratio of the three clay;
The best buy is the sphere because it has the highest volume:price ratio.
Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answer:
d
Step-by-step explanation:
Please Help!!! Will get brainiest if answer correctly with an explanation. Name the postulate or theorem you can use to prove wzv=wzy. given:
Answer:
AAS
Step-by-step explanation:
Δwzy=Δwzv
to prove the equality:
1- wz is a common side
angle: wzv=wzy=90 degrees ( height of triangle)
angle v= angle y
Since WZ bisects W, it's good to say that vwz and zwy
prove one side is equal and two angles
so ASA or AAS is the answer
Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)
Answer:
(1 + 3i)(1 – 3i) gives real number productStep-by-step explanation:
Given the expressions
[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]
From analysis one of the following pairs has real-number products
[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]
Performing operations on
[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]
Performing operations on
[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]
Answer:
C
Step-by-step explanation:
trust
Another one omg this is annoying
Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
[tex]x = 5f'(x) + 1[/tex]
[tex]5f'(x) = x - 1[/tex]
[tex]f'(x) = \frac{x - 1}{5}[/tex]
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
help with the question below would be much appreciated :)
Answer:
B
Step-by-step explanation:
In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.
Answer:
(B) 13
Step-by-step explanation:
This isosceles triangle is broken up into two parts, both are right triangles.
To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.
We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.
Let's solve.
[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]
So, c is 13, therefore the hypotenuse is 13, therefore x is 13.
Hope this helped!
Plz help I don't know what the answer is
Answer:
1) Is 180
2) Is 5
Step-by-step explanation:
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIj is a _______
followed by a _______
1.
A.Reflection across the y axis
B.90 degree counter clockwise rotation about point A
C.90 degree clockwise rotation about point A
D. 90 degree counter clockwise rotation about point B
2.
A.Clockwise rotation about point B and a translation 20 units down
B.reflection across the y axis and a translation 20 units down
C. Reflection across the x axis and a translation 15 units down
D. Reflection across the y axis and a translation 25 units down
Plz respond quick
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a B. 90 degree counter
clockwise rotation about point A followed by a B. Reflection across the y-
axis and a translation 20 units down
Reasons:
Rotation 90° counterclockwise about the point AThe coordinates of the point (x, y) following a rotation of 90°
counterclockwise is the point (-y, x)
Taking point A as the origin
The coordinates of point A = (15, 10)
Coordinates of the points B, relative to the point A = (0, 10)
Coordinates of the points C, relative to the point A = (5, 5)
Coordinates of the points D, relative to the point A = (5, -5)
The location of the image of point B, following a rotation about the point A, is therefore;
B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)
Reflection across the y-axisThe coordinates of the image of the point (x, y), following a reflection
across the y-axis is the point (-x, y). The coordinates of the parallelogram
A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),
C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ
are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)
Translation 20 units downThe x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,
therefore, we translate A''B''C''D'', 20 units down to get;
B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)
Coordinates of A'''(-15, -10) = G(-15, -10)
Coordinates of B'''(-5, -10) = H(-5, -10)
Coordinates of C'''(-10, -5) = I(-10 - 5)
Coordinates of D'''(-20, -5) = J(-20, -5)
Therefore;
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a;
B. 90 degree counter clockwise rotation about point AFollowed by a;
B. Reflection across the y-axis and a translation 20 units downLearn more here:
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Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]
please helllppppp........
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
what is the value of [3.6]
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
solve : 3/2 X -7/2 = 5x +14
Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data. A 2-row table with 10 columns. The first row is labeled number of coin flips with entries 0, 10, 20, 30 ,40, 50, 60, 70, 80, 90. The second row is labeled number of heads up with entries 0, 7, 12, 18, 23, 30, 35, 38, 42, 45. According to the line of best fit, about how many times would the coin land heads up in 100 flips? 48 50 51 53
Answer:
b is the right option
Step-by-step explanation:
According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use linear regression to find the line of best fit for the given data, which will give us a linear equation that models the relationship between the number of coin flips and the number of times the coin lands heads up.
Using a calculator or statistical software, we can find that the line of best fit for the given data is:
y = 0.4975x + 2.9825
where y is the number of times the coin lands heads up, and x is the number of coin flips.
To find how many times the coin would land heads up in 100 flips, we can substitute x = 100 into the equation and solve for y:
y = 0.4975(100) + 2.9825
y = 49.75 + 2.9825
y ≈ 52.73
Therefore,
According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.
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