Answer:
175mmStep-by-step explanation:
To find the total perimeter of the parallelogram we must add 200+200+150+150
This equals 700. Then, since squares have side lengths that are all equal, we have to divide by 4.
700 / 4 = 175
So, the length of a side of a square having this perimeter would be 175mm
Hope this helps!
find a number between 1 5/8 and 1.62501
Answer:
[tex]1 \frac{125001}{200000}[/tex] or 1.625005
Step-by-step explanation:
To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.
Finding a midpoint
To find the midpoint of two numbers, divide their sum by 2:
[tex]\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}[/tex]
It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.
Fraction form:
To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.
[tex]1.62501=1\frac{62501}{100000}[/tex]
Using our midpoint formula:
[tex]\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}[/tex]
find a common denominator...
[tex]\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}[/tex]
[tex]\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}[/tex]
combining like terms...
[tex]\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}[/tex]
rewriting the division as multiplication of a reciprocal....
[tex]\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}[/tex]
distributing...
[tex]\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)[/tex]
[tex]\text{midpoint} = 1 +\frac{125001}{200000}[/tex]
[tex]\text{midpoint} = 1 \frac{125001}{200000}[/tex]
So, [tex]1 \frac{125001}{200000}[/tex] is the midpoint of the two numbers, and is a number that is between them.
Decimal form:
To convert [tex]1 \frac{5}{8}[/tex] to a decimal, we divide 5 by 8. 5 divided by 8 is 0.625.
So, [tex]1 \frac{5}{8}=1.625[/tex]
To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:
Using our midpoint formula:
[tex]\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}[/tex]
[tex]\text{midpoint} = \dfrac{ 3.25001} {2}[/tex]
[tex]\text{midpoint} =1.625005[/tex]
So, 1.625005 is midpoint of the two numbers, and is a number that is between them.
Extension with decimals:
Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.
Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):
1.625000
1.625001*
1.625002*
1.625003*
1.625004*
1.625005*
1.625006*
1.625007*
1.625008*
1.625009*
1.625010
A college's football team will play 16 games next fall. Each game can result in one of 2 outcomes: a win or a loss. Find the total possible number of
outcomes for the season record.
Using the Fundamental Counting Theorem, there are 65,536 outcomes possible for the season record.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, the parameters are given as follows:
[tex]n_1 = n_2 = \cdots = n_{16} = 2[/tex]
Then the number of ways is:
[tex]N = 2^{16} = 65,536[/tex].
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Calculate the slope of the line between each pair of coordinates.
a. A: (3, 6) and B: (4, -3)
b. C: (-5, -3) and D: (-3, -7)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Calculate the slope of the line between each pair of co-ordinates
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
[tex]\LARGE\textsf{Question 1}}[/tex]
The points given are,
[tex]\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}[/tex]
To find the slope [tex]\textbf{M}[/tex] of this line,
we will utilise the [tex]\textbf{Slope Formula}[/tex].
The first thing to do is
to put in the co-ordinates
of the two points given.
[tex]\bf{\dfrac{-3-6}{4-3}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{-9}{1}}[/tex] | divide on top and bottom
[tex]\bf{-9}[/tex]
[tex]\LARGE\textsf{Question 2}[/tex]
The points given this time are,
[tex]\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}[/tex]
Last time we needed to
put in the co-ordinates.
Similarly, we ought to
put in the co-ordinates
in this problem.
[tex]\bf{\dfrac{-7-(-3)}{-3-(-5)}}[/tex] | simplify
[tex]\bf{\dfrac{-7+3}{-3+5}}[/tex] | add on top and bottom
[tex]\bf{\dfrac{-4}{2}}[/tex] | divide on top and bottom
[tex]\bf{-2}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
7. Three vertices of a parallelogram are (0, 0), (−4,0) and (0, 5). Find all 3 possible coordinates for
the fourth vertex to make a rectangle and 2 different parallelograms. Explain or justify your
coordinate choice of how you know the sides are parallel. Find the lengths of each side
mathematically.
a) rectangle coordinate:
b) parallelogram:
c) parallelogram#2:
The given vertices combine with the fourth vertex as follows;
a) Coordinates; (-4, 5)
Lengths of the sides; 4 and 5
b) Coordinates; (4, 5)
Lengths of the sides; 4 and √41
c) Coordinates; (-4, -5)
Lengths of the sides; 5 and √41
How can the vertex coordinates be found?The given vertices are;
(0, 0): The origin
(-4, 0): 4 units to the left of the origin along the abscissa
(0, 5): 5 units above the origin, along the ordinate
a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;
The coordinates of the point that forms a rectangle is the point (-4, 5)
The lengths of the sides are;
0 - (-4) = 4
5 - 0 = 5
b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;
The first parallelogram is formed by the point (4, 5)The lengths of the sides are;
4 - 0 = 4√((5 - 0)^2 + (4 - 0)^2) = √41c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;
The second parallelogram is formed by the point (-4, -5)The lengths of the sides are;
(5 - (-5)) = 5 and √41Learn more about parallelograms here:
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108 centimeters equal how many meters?
Answer:
1.08 meters
Step-by-step explanation:
Divide by 100 to find this out. 108/100 = 1.08
You can remember this by knowing that the "centi-" prefix means 100 (technically, 100ths). Just like you probably already know 100 cents in a dollar (USD) or 100 years in a century. Even the "cent" in percent means per hundred. There are 100 centimeters in a meter. A centimeter is about as wide as your little finger. A meter is close to a yard.
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{0.108 meters}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{108 centimeters}[/tex]
Find: [tex]\textsf{Covert to meters}[/tex]
Solution: In order to convert centimeters to meters we need to divide the amount of centimeters by 100 since there are 100 centimeters in one meter. After doing 108/100 we get 1.08 meters.
Which system of equations is represented in the graph? On a coordinate plane, a horizontal line is at y = negative 2 and another line goes through (0, negative 3) and (6, 0). y = negative 2. x minus 2 y = 6. y = negative 2. x + 2 y = 3. x = negative 2. 2 x minus y = 3. x = negative 2. 2 x + y = negative 3.
The system of equations that is represented in the graph is:,y = -2.x-2y =6..Option B is correct.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Two lines may be seen on the graph:
y = -2
The lines pass through (-3) and (6, 0). We use the slope-intercept form to get the second line's equation: y=mx+c
m = 0-(-3)/(6-0)
m=3/6
m=1/2
Substitute the values as;
[tex]\rm y = \frac{1}{2}x+c[/tex]
For the point x = 0 and y = -3
[tex]\rm y = \frac{1}{2}x-3[/tex]
The equation can be written as;
x - 2y = 6
The system of equations that is represented in the graph is:,y = -2.x-2y =6..
Hence, option B is correct.
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Whats the correct answer answer asap for brainlist?
Answer:
b elephants and zebras
Step-by-step explanation:
Answer:
Step-by-step explanation:
Comment
I'll give you the answer, but my guess is the question will be deleted because it is in the wrong place.
The answer is B. You might think it is D but those creatures are mostly in North America.
Find the equation of the line.
Through (-11, -1); perpendicular to y=15.
Answer:
x = - 11
Step-by-step explanation:
y = 15 is a horizontal line parallel to the x- axis
a perpendicular line must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then
x = - 11 ← equation of perpendicular line
Answer:
x = -11
Step-by-step explanation:
The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15
The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1
So the equation is x = -11
See attached graph
A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be the lengths of the diagonals of the rhombus?
If the height of prism is 6 inches and the volume is 144 cubic inches then the lengths of the diagonals of the rhombus will be 6 by 8 inches.
Given right prism has a rhombus as a base. Height of prism is 6 inches and the volume of prism is 144 cubic inches.
A right prism is a prism in which the edges and faces are perpendicular to the base faces.
Volume is the amount of substance a container can hold in its capacity.
Volume of right prism=area of base* height
=[tex]1/2 * d_{1}* d_{2} *6[/tex]
144=(144*2)/6 * [tex]d_{1} d_{2}[/tex]
(144*2)/6=[tex]d_{1} *d_{2}[/tex]
By options we get that the lengths of diagonals could be 6 inches by 8 inches.
Hence the length of diagonals be 6 inches and 8 inches.
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Answer: Hence the length of diagonals be 6 inches and 8 inches.
Step-by-step explanation:
(edg) got it right on test
Theodore invests a total of $11,000 in two accounts paying 8% and 4% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $780.00.
________ was invested at 8% and
______ was invested at 4%.
The amount loaned at the interest rate of 8% is $2,500.
The amount loaned at the interest rate of 4% is $8,500.
What are the linear equations that represent the question?a + b = 11,000 equation 1
0.08a + 0.04b = 780 equation 2
Where:
a = amount loaned at the interest rate of 8%b = = amount loaned at the interest rate of 4%How much was loaned at 8% and 4%?In order to determine how much was loaned at 4%, take the following steps:
Multiply equation 1 by 0.08
0.08a + 0.08b = 880 equation 3
Subtract equation 2 from equation 3:
0.04b = 100
Divide both sides by 0.04:
b = $2500
Subtract 2,500 from 11,000 :
11,000 - 2,500 = $8,500
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i need help with the problem PLS help
1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.
2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.
3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.
For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.
4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.
Describe how the graph of a line with a slop m=1/2 differ from the graph of a line with slop m=2?
The line with slope = 2 will be closer to the y-axis than the line with slope = 1/2
How to interpret the slopes?The slopes are given as:
Slope = 2
Slope = 1/2
The greater the absolute value of the slope of a linear equation.
The closer the function is to the y-axis
This means that the line with slope = 2 will be closer to the y-axis than the line with slope = 1/2
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Find the radius of a circle with diameter 91yd
Answer: 45.5yds
Step-by-step explanation:
- the radius is simply half of the diameter so: 91 / 2= 45.5yd
- so the radius is 45.5yds
hope this helps :)
r= d/2 = 91/2 =45.5yd
If PQRS is a rhombus,which statement must be true? Check all that apply.
Answer: A, B, C, D
Step-by-step explanation:
A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.
B. This is true because the diagonals of a rhombus are perpendicular.
C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,
D. This is true because all sides of a rhombus are congfruent.
E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.
F. This is not always true - diagonals of a rhombus are not always congruent.
How many ways are there to give 12 identical cookies to three children, so that each child has at least two cookies?
Simple As you can see 12 cookies are there and 3 children are there so
1 children will have = 12 ÷ 3
= 4
like this each kid will have 4 cookies where 4>2
Margo borrows $1900, agreeing to pay it back with 3% annual interest after 13 months. How much interest will she pay?
Answer:
61.75
Step-by-step explanation:
1900x0.03x1.08333333=61.75
how did you find the height? thats what im confused on. A=(1/2)b x (h)
A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)
(Hint: Solve the equation for h)
Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,
A=(1/2)b x (h)
2A = b x h
h = (2A)/b
where h is the height of the triangle and b is the length of the base of the triangle.
Hence, the height of the triangle can be written as h = (2A)/b.
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Describe the transformations to the graph of y = x² to obtain y = -2 ( x + 5 )²- 3 .
Using translation concepts, the transformations are given as follows:
Reflection over the x-axis.Vertical stretch by a factor of 2.Shift left of 5 units.Shift down by 3 units.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
y = x².
The translated function is:
y = -2(x + 5)² - 3.
In this problem, we have that:
The function was multiplied by -2, hence it was reflected over the x-axis, as it was multiplied by a negative value, and vertically stretched by a factor of 2.x -> x + 5, hence the function was shifted left 5 units.y -> y - 3, hence the function was shifted down 3 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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What number exceeds y by 4 less than x
Answer: y + x - 4
Step-by-step explanation:
We will write an expression for this "number" by looking at the details given.
exceeds y { can become } y +
4 less than x { can become } x - 4
Now we will put the parts together.
y + x - 4
The number that answers this question is:
y + x - 4
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What are the factors of 32Round the following items to the nearest £1:
Item
Cost
Cost rounded to nearest £1
Notebook
£2.15
£
Pencil Case
£3.80
£
Colouring Pencil
£1.49
£
?
The factors of 32 as required in the task content are; 2, 4, 8, 16, 32.
What are the factors of 32?The factors of the number 32 as required in the task content are numbers whose multiples amount to 32 and are as listed above.
The item prices as given in the task content rounded to the nearest £1 are;
Notebook
£2.15 = £2
Pencil Case
£3.80 = £4
Colouring Pencil
£1.49 = £1
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The sum of three consecutive even integers is 96
Answer:
The sum of three consecutive even integers is 96
31+32+33=96
There are 32 students in the orchestra and twice that number in the band. There are 19 boys and 11 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?
The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:
Number of students in band = 2 (Number of students in Orchestra)
= 2 × 32 = 64
The number of students in the Choir is the sum of the number of boys and girls. Therefore, the number of students in the Choir is,
Number of students in the Choir = 19 + 11 = 30
Total number of students = 32 + 64 + 30 = 126
hence, the total number of students that are in the orchestra, the band, and the choir is 126.
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117 IS 7.3 PERCENT OF WHAT NUMBER?
h(x) = x² +1 k(x)=x-2
(h+k)(2) =
Will give Brainly
Answer:
(h + k) (2) = 5
Step-by-step explanation:
[tex]h(x) = x{^2} + 1 \space\ \space\ \space\ \space\ \space\ \space\ \space\ k(x) = x -2\\\\[/tex]
(h + k) (x) = h(x) + k(x)
= x² + 1 + x - 2
= x² + x -1
∴ (h + k) (2) = (2)² + 2 -1
= 5
Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
Sentence : "I did 60 brush strokes in 1 minute"
The dependent and the independent variable in the relationship y=60x are y and x respectively.
The Independent variables are variables whose value does not depend on any other variable. And it causes the change in other variables.
The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.
Given that you did 60 brush strokes in 1 minute. Therefore, the rate can be written as,
Rate = 60 strokes per minute
Now, the number of stokes in x minutes can be written as,
y = 60x
where y is the number of stokes,
x is the number of minutes
In the above relation, y is the dependent variable because its numerical value depends on time, while x is the independent variable.
Hence, The dependent and the independent variable in the relationship y=60x are y and x respectively.
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Pls help! Geometry
A)what is the area of square?
B)area of the circle?
C)area of shaded?
(a) The side length of the square is 8 m, so its area is 64 square m.
(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.
(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.
In circle A shown below the measure of angle BAD is 148 degrees If mBC is 102 degrees, what is mCD?
The measure of arc CD from the given figure is 46 degrees
Circle theoremFrom the attached figure, the expression below is true;
arcBC + arcCD = <BAD
Given the following
<BAD = 148 degrees
arcBC = 102 degrees
Substitute
arcCD =148 - arcBC
arcCD = 148 - 102
arcCD = 46 degrees
Hence the measure of arc CD from the given figure is 46 degrees
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Which problem solving strategy would be best to solve this problem?Austin, Texas is two hours ahead of San Diego, California. If the time in Austin is 1:00 P.M., what time is it in San Diego?A.guess, check and reviseB.use a formulaC.work backwardsD.write an equation
Answer:
D. Write an equation
Step-by-step explanation:
x = The time of Sand Diego
t = Current designated time
n = The difference in time
So the equation is x = t+/-n.
You can determine if it would be + or - based of the word problem.
For this word problem the equation is x = 1:00pm - 2hrs
Hope this helps.
the university of detroit mercy is 3/4 miles from dana’s house. Marygrove college is 2/5 miles from her house. what is the difference in the two distances
At the beginning of a population study, a city had 370,000 people. Each year since, the population has grown by 6. Let be the number of years since start of the study. Let y be the city's population . Write an exponential function showing the relationship between y and
The exponential function that gives the relationship between y and t is:
[tex]y = 370000(1.06)^t[/tex].
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the parameters are given as follows:
A(0) = 370000, r = 0.06.
Hence the equation is:
[tex]y = A(0)(1 + r)^t[/tex]
[tex]y = 370000(1 + 0.06)^t[/tex]
[tex]y = 370000(1 .06)^t[/tex]
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