Answer:
Step-by-step explanation:
The following are properties of a rhombus:
i) All sides are equal
ii) The diagonals bisect each other at right angle.
iii) Diagonals bisect the angles
iv) Sum of consecutive angles is 180°
The following are properties of a square:
i) All sides are equal
ii) The diagonals bisect each other at right angle.
iii) Diagonals bisect the angles
iv) All angles are right angle
A rhombus is a square only when all its angles are right angles (90°) but all squares are rhombuses because squares have the same property as rhombuses(since All angles are right angles, consecutive angles would add up to 180°). Therefore all rhombuses are not squares but all squares are rhombuses
Write equation Derek will get a bonus if he sells at least 50 sets of knives in a month use k to represent the number of knives he can sell to receive his bonus
Answer: k ≥ 50
Step-by-step explanation:
From the question, we are informed that Derek will get a bonus if he sells at least 50 sets of knives in a month. We are further told to us k to represent the number of knives he can sell to receive his bonus.
Since we are told that Derek will get a bonus if he sells at least 50 sets of knives in a month, this means that k will be greater than or equal to 50. Therefore,
k ≥ 50
There is a bag filled with 5 blue, 6 red and 2 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 blues?
Answer:
Step-by-step explanation:
Total marbles = 5 + 6 + 2 = 13
P( getting blue ball from first draw) = 5/13
The marble is not replaced. So, Now total marbles will be 12 & number blue marbles will be 4
P( getting blue ball from second draw) = 4/12 = 1/3
P(getting two blues) = [tex]\frac{5}{13}*\frac{1}{3}\\[/tex]
= 5/39
One number is 10 times as large as another, and their difference is 81. Find the numbers. If x represents the smaller number, then the larger number is x + 10 10x
Answer:
value of x=9
so value of large number is 90 and smaller number is 9
A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of forest land of 2.53 ha/person. Calculate the percentage of biocapacity from grazing and forest land.
Answer:
44.8 %
Step-by-step explanation:
Let p = the number of people. Then
Total biocapacity = 6.21p ha
Grazing biocapacity = 0.85p ha
Forest biocapacity = 2.53p
Grazing + forest = 2.78p ha
[tex]\text{Percent grazing + forest} = \dfrac{\text{grazing + forest}}{\text{Total}} \times 100 \, \% \\\\= \dfrac{\text{2.78p ha}}{\text{6.21p ha}} \times 100 \, \% = \mathbf{44.8 \,\%}[/tex]
What is the slope of a line perpendicular to the line whose equation is
x - 5y = -10. Fully reduce your answer
Answer:
The slope or incline is -5
Step-by-step explanation:
rewrite to get the form
y = ...
x - 5y = -10
- 5y = -10 -x
divide left and right if the = sign by -5 gives:
(-5/-5)y = (-1/-5)x + (-10/-5)
y = 1/5x +2
So the incline is 1/5
a perpendicular line has an incline of -1 *5/1 = -5
The slope or incline is -5
Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?
Answer:
Step-by-step explanation:
We can use the intercept form of the equation of a line, then solve for y.
Intercept form
x/(x-intercept) +y/(y-intercept) = 1
x/-4 +y/8 = 1
__
Solving for y, we have ...
-2x +y = 8 . . . . multiply by 8
y = 2x +8 . . . . add 2x
The coefficient of x is 2, so the slope is 2.
__
The graph shows you the rise is 8 for a run of 4, so ...
slope = rise/run = 8/4
slope = 2
how many millimeters are in a meter
Answer:
There are 1000 millimeters in a meter.
Step-by-step explanation:
I really hope this helps in any way.
Answer:
1,000
Step-by-step explanation:
The word millimeter has the prefix of 'milli-'.
'Milli-' means a thousand.
Applying the prefix meaning to the word, a millimeter would be a thousandth of a meter.
There are 1,000 millimeters in a meter.
Brainilest Appreciated.
3. Solve 6k + 9 > k – 1.
use photo for options
Answer:
k > - 2
Step-by-step explanation:
Given
6k + 9 > k - 1 ( subtract k from both sides )
5k + 9 > - 1 ( subtract 9 from both sides )
5k > - 10 ( divide both sides by 5 )
k > - 2
Answer:
k> -2
Step-by-step explanation:
6k + 9 > k – 16k - k > - 1 - 95k > -10k > -10/5k> -2PLEASE HELP Which of the sets of ordered pairs represents a function? A = {(2, −2), (5, −5), (−2, 2), (−5, 5)} B = {(4, 2), (4, −2), (9, 3), (9, −3)} a. Only A b. Only B c. Both A and B Incorrect d. Neither A nor B
Answer: A. Only A
Step-by-step explanation:
A has exactly one output for every input but B has different outputs for an input.
Please answer it in two minutes
Answer:
2,700 degrees.
Step-by-step explanation:
17 gon is a heptadecagon.
The formula for the sum of interior angles is [tex](n-2)*180[/tex] degrees.
[tex](17-2)*180=\\15*180=\\2700[/tex]
EXCELLENT VOTE!! (only if u give the CORRECT answer)
Answer:
Option C
Step-by-step explanation:
Answer:
B.
You need to subtract 1 term because you don't include the starting 5
4^10 - 1 = 4^9
You multiply 5 by 4 each time for 9 times so it is 5 x 4^9
Hope this helps
Step-by-step explanation:
How many distinct triangles can be formed for which mzA
= 75°, a = 2, and b = 3?
O No triangles can be formed.
One triangle can be formed where angle B is about 15°.
One triangle can be formed where angle B is about 40°.
Two triangles can be formed where angle B is 40° or
140°
We are given
m∠A = 75 deg
a = 2
b = 3
Apply the Law of Sines.
sin(B)/b = sin(A)/a
sin(B)/3 = sin(75)/2
sin(B) = (3*sin(75))/2 = 1.45
The value of the sin function cannot exceed 1.
This means that the triangle cannot exist.
Answer: No distinct triangles
Answer: A no triangles can be formed
Step-by-step explanation:
Need help quick plz I need this to be right thank u and plz
Answer:
1067 cm³Step-by-step explanation:
[tex]V=10^2\cdot7+\frac13\cdot10^2\cdot(18-7)=700+\frac13\cdot1100=700+366,(6)=1066,(6)\\\\V\approx1067\,cm^2[/tex]
please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all please if you can save the picture and do it on the page -
i Will give brainliest
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Juan hiked to the top of a 3,000-foot mountain and back down without taking a break. Which graph best represents Juan's distance from the top of the mountain during the entire hike?
Answer:
Top left graph.
Step-by-step explanation:
If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.
Answer:
Graph A is the most acuurate
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the circle equations in general form with their corresponding equations in standard form. x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
Step-by-step explanation:
This can be done using the completing the square method.
The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]
1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]
[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]
Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]
2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]
[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]
Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]
3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]
Divide through by 3
[tex]x^2 + y^2 + 4x + 6y = 5[/tex]
[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex], the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]
4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]
Divide through by 5
[tex]x^2 + y^2 - 2x + 4y = 6[/tex]
[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex], the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]
5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]
Divide through by 2
[tex]x^2 + y^2 - 12x - 8y = 4[/tex]
[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex], the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]
6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]
[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]
Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]
For Plato / Edmentum
Just to the test and got it right ✅
Which of the following is the correct factored form of the given equation? 6x^2 -13x - 8 = 0
Answer:
the 2nd
Step-by-step explanation:
A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation.
Answer:
Rectangular area attached to the back of the building
two sides of legth 7 m and one side of 14 m
Step-by-step explanation:
We need to compare quantity of fencing material to be used in both cases
1.Option
A = 100 m² dimensions of storage area "x" and "y"
x*y = 100 y = 100/x
The perimeter of the storage area is
p = 2*x + 2*y ⇒ p = 2*x + 2*100/x
p(x) = 2*x + 200/x
Taking drivatives on both sides of the equation
p´(x) = 2 - 200/x²
p´(x) = 0 ⇒ 2 - 200/x² = 0
2*x² - 200 = 0 x² = 100
x = 10 m
and y = 100/10
y = 10 m
Required fencing material in first option
2*10 + 2*10 = 40 m
2.-Option
Following the same procedure
A = 98 m² y = A/x y = 98/x
p = 2*x + y p(x) = 2*x + 98/x
p´(x) = 2 - 98/x² p ´(x) = 0
2 - 98/x² = 0
2*x² = 98 x² = 49
x = 7 m and y = 98/ 7 y = 14 m
Total quantity of fencing material
p = 2* 7 + 14 p = 28
Therefore option 2 is more convinient from economic point of view
Optimal design rectangular storage area with two sides of 7 m and one side of 14 m
Determine if each statement is always, sometimes, or never true.
1. Parallel lines are
coplanar.
2. Perpendicular lines are
coplanar.
3. Distance around an unmarked circle can
be measured.
Answer:
Determine if each statement is always, sometimes, or never true.
1. Parallel lines are
coplanar: Always true
2. Perpendicular lines are
coplanar: Always true
3. Distance around an unmarked circle can be measured: Never true
Step-by-step explanation:
When we are say that lines are coplanar, this means that those lines happen to be or lie in the same plane , a flat surface or a 3- dimensional surface.
Co planar lines may or may not intersect with one another.
Parallel lines and Perpendicular lines are coplanar lines because they are found to be in the same plane. One of their differences is Parallel lines do not intersect with one another while Perpendicular lines intersect with one another.
Hence the statements:
Parallel lines and Perpendicular lines are coplanar is ALWAYS TRUE
Distance around an unmarked circle can be measured. This statement is never true
This is because a circle has to be marked in other to be able to measure it's distance properly. A marked circle will have its diameter and the diameter of a circle is also known as the distance around a circle.
which of the following angles is coterminal with 5pi/3? pi/3, 2pi/3, 4pi/3, 5pi/3
Answer:
5pi/3
Step-by-step explanation:
For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.
The angle of consideration is 5pi/3
Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.
5pi/3 - pi/3 = 4pi/3
5pi/3 - 2pi/3 = 3pi/3 = pi
5pi/3 - 4pi/3 = pi/3
5pi/3 - 5pi/3 = 0 = 0(2pi)
5pi/3 is co-terminal with itself
Find the total surface area of this cylinder. Give your answer to one decimal place PLEASE HELP THANK YOUUUU
Answer:
Step-by-step explanation:
surface area of cylinder=2 πr²+2πrh
=2πr(r+h)
=2π×12(12+18)
=24π×30
=720π
≈2261.9 cm²
Write a two-column proof. Given: <2 is congruent to <5; Segment AB is congruent to Segment DE Prove: Segment BC is congruent to Segment EC
Answer:
proof
Step-by-step explanation:
Statements
Reasons
<2 is congruent to <5; Segment AB is congruent to Segment DE
Given
<3≅<4
Vertical angle theorem
ΔCDB≅ΔCAE
AAS
Segment BC is congruent to Segment EC
CPCTC
The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.
Given :
Angle 2 is congruent to angle 5.Segment AB is congruent to Segment DE.The following steps can be used in order to prove that segment BC is congruent to segment EC:
Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.
Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.
Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.
Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.
For more information, refer to the link given below:
https://brainly.com/question/25813512
Solve x^2 + 6x - 5 = 0 by completing the square.
Answer:
(x + 3)² = 14
Step-by-step explanation:
x² + 6x - 5 = 0
Add 5 and 9 on both sides.
x² + 6x + 9 = 14
Factor left side.
(x + 3)² = 14
Take the square root on both sides.
(x + 3) = ±√14
Subtract 3 on both sides.
x = -3 ±√14
Consider the graph with four lines below. On a coordinate plane, line a has a positive slope and goes through points (negative 1, 0) and (1, 2), line b has a negative slope and goes through (negative 2, 2) and (negative 1, negative 1), line c has a negative slope and goes through (0, 3) and (1, 0), and line d is horizontal at y = 1. By inspection, which system would have no solution? line a and line b line a and line c line b and line c line b and line d
Answer:
C) line b and line c
Step-by-step explanation:
On edge
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The system of equations that do not have any solution is line b and line c. Hence, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The equation of line a passing through (-1,0) and (1,2) are,
m = (0-2)/(-1-1) = -2/-2 = 1
y= x + c
0 = -1 + c
c = 1
Equation of line 1, y=x+1
The equation of line b passing through (-2,2) and (-1,-1) are,
m = (2+1)/(-2+1) = 3/-1 = -3
y= -3x + c
-1 = -3(-1) + c
c = -4
Equation of line 1, y=-3x-4
The equation of line c passing through (0,3) and (1,0) are,
m = (3-0)/(0-1) = 3/-1 = -3
y= -3x + c
3 = -3(0) + c
c = 3
Equation of line 1, y=-3x+3
Also, the equation of line d is y=1
The solution of two-equation is the point at which the two equations are not intersecting. Therefore, the system of equations that do not have any solution is line b and line c.
Hence, the correct option is C.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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convert the decimal to a simplified fraction 0.8=
Answer:
4/5
Step-by-step explanation:
You know 0.8 x 10 = 8, so 8/10 is the fraction.
Now, simplify 8/10.
8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Step 1: Convert decimal to fraction
0.8= 8/10
Step 2:Simplify
8/10=4/5
PLEASE HELP!!!
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. A solid right pyramid with a square base has a base edge measuring 6 inches. Which is the slant height of the pyramid if Helen uses all the clay? 3 inches 4 inches 5 inches 6 inches
Answer:
Answer is 5 inches on edg
Step-by-step explanation:
Answer:
The correct answer would be 5 inches.
Step-by-step explanation:
Avalanche conditions: Winter avalanches occur for many reasons, one being the slope of the mountain. Avalanches seem to occur most often for slopes between 35° and 60° (snow gradually slides off steeper slopes). The slopes at a local ski resort have an average rise of 2000 ft for each horizontal run of 2559 ft. Is this resort prone to avalanches? Find the angle θ and respond. 2000 ft 2559 ft
Answer:
Yes, since angle θ = 38° and is between 35° and 60°, this slope is prone to avalanches.
Step-by-step explanation:
Avalanche conditions: Winter avalanches occur for many reasons, one being the slope of the mountain. Avalanches seem to occur most often for slopes between (snow gradually slides off steeper slopes). The slopes at a local ski resort have an average rise of 2000 ft for each horizontal run of 2559 ft. Is this resort prone to avalanches? Find the angle θ and respond. 2000 ft 2559 ft
Draw a right triangle. Start with a horizontal side and label the horizontal side 2559 ft. Then at one endpoint of that side, draw a vertical side going up from the horizontal side. Label it 2000 ft. Connect the upper point of the vertical side to the other endpoint of the triangle. The acute angle at the bottom is θ.
[tex] \tan \theta = \dfrac{opp}{adj} [/tex]
[tex] \tan \theta = \dfrac{2000}{2559} [/tex]
[tex] \theta = \tan^{-1} 0.7816 [/tex]
[tex] \theta = 38^\circ [/tex]
Since the angle is between 35° and 60°, this slope is prone to avalanches.
Match the graph with the correct equation
• y+2=(x-2)
•y+2= -(x-4)
•y+2= -(x+4)
•y-2= -(x-4)
Answer:
y + 2 = -(x-4)
Step-by-step explanation:
Here, we want to match the graph with the correct equation
the equation is generally in the form
y = mx + c since it is a straight line
Let’s start with c which is the y- intercept
c = 2 from the graph
Let’s find value of the slope using the end points
The end points at top and at bottom are as follows respectively;
(-8,10) and (10,-8)
So the slope is ; y2-y1/x2-x1 and that is ;
-8-10/(10-(-8) = -18/18 = -1
So the complete form of the line would be;
y = -1(x) + 2
y = -x + 2
or simply y = 2-x
So which of the options fit this answer?
That would be;
y+ 2 = -(x-4)
This can be written as;
y + 2 = -x + 4
y = -x + 4-2
y = -x + 2
Answer:(D) y + 2 = -(x-4)
Step-by-step explanation:
Employee B got a one time $90 bonus. He got
paid $330 this week. He worked 24 hours this
week. How much did he make per hour this
week before his bonus?
Answer:
$10 an hour
Step-by-step explanation:
Subtract the bonus to get the pay.
330-90=240
Divide 240 by 24 hours to get his rate of pay.
240/24=10
He gets $10 an hour.
Answer:
Step-by-step explanation:
Subtract 90 dollars from 330. 330-90=240.
The man earned 240 dollars that wee and worked 24 hours.
240/24=10
Find w please help me
Answer:
w = 77°
Step-by-step explanation:
From the picture attached,
WXYZ is a quadrilateral having 4 interior angles,
m∠y = 90°
Therefore, (2x - 10) = 90°
2x = 90 + 10
2x = 100
x = 50
Now, m∠z = (x + 15)° = 65°
m∠x = (3x - 22)° = 150 - 22
= 128°
Sum of interior angles of a polygon = (n - 2)×180°
where n = Number of sides of the polygon
If n = 4,
m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°
w + 128 + 90 + 65 = 360
w = 360 - 283
w = 77°
Therefore, measure of w = 77°