Answers
We are given a parallelogram with sides:
3 1/8 and 2 3/16.
Let us convert each into improper fraction.
3 1/8 = 25/8
2 3/16 = 35/16
Now perimeter of parallelogram is given by:
[tex] P = 2(sum of non parallel sides) [/tex]
[tex] P= 2(\frac{25}{8} + \frac{35}{16}) [/tex]
Now we have to find lcd of 8 and 16.
lcd of 8 and 16 is 16.
[tex] P= 2(\frac{25*2}{8*2} + \frac{35}{16} ) [/tex]
[tex] P=2( \frac{50}{16} + \frac{35}{16} ) [/tex]
[tex] P= 2(\frac{50+35}{16} ) [/tex]
Perimeter = 85/8 km
Answer : Perimeter of parallelogram is given by 85/8 km.
Related Questions
Help please ppl Guys
Answers
Base = 9
Height = 5
9*5 = 45;
45 / 2 = 22.5
Your area is 22.5 ft
I hope this helps!
What is -5/12 + (-1/4) + 3/12 as a fraction
Answers
(-5/12) + (-3/12) + (3/12)
the (-3/12) and (3/12) cancel out and you are left with
(-5/12)
Sid is $300 in debt. He needs to get the debt down to no more than $100 within the next 8 months. If he pays the same amount each month, what is the minimum he must pay off each month to manage this?
Answers
You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?
The annual interest rate is
Answers
The annual interest rate is 4.5%.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$5000, simple interest=$2250 and time period= 10 years.
Here, 2250= (5000×R×10)/100
225000=50000R
R=225000/50000
R=4.5%
Therefore, the annual interest rate is 4.5%.
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Find the surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches.
Answers
The formula to find the surface area of a pyramid is as follows:
[tex] \frac{1}{2} [/tex] pl + B
In this formula p represents the perimeter of the pyramid's base, l is the slant height, and B is the area of the base.
So, we know that the length of the base sides is 2.5 inches and the slant height (or l) is 3 inches.
The first thing we can do is solve for p or the perimeter of the base. To find the perimeter, you can either add up each of the sides or since it's a square just multiply the side length by 4; both of these options will give you the same answer.
2.5+2.5+2.5+2.5 = 10 2.5*4 = 10
So, we now know that p = 10 inches.
Next, we can solve for B or the area of the base. To do this, we take the length of the base * the width of the base, or in this case just 2.5*2.5; this gives us 6.25 inches
We now have the value of B which is 6.25 inches.
Now that we have all the elements, we can plug the values into the formula!
So, the formula originally is [tex] \frac{1}{2} [/tex] pl + B and with the values we just found plugged in it becomes [tex] \frac{1}{2} [/tex] (10)(3) + (6.25).
And now all we have to do is solve!
[tex] \frac{1}{2} [/tex] (10)(3) + (6.25)
[tex] \frac{1}{2} [/tex] (30) + (6.25).
15 + (6.25).
21.25
And there you have it! The surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches is 21.25 inches.
Hope you find this helpful!
Final answer:
The surface area of a pyramid with a base side of 2.5 inches and a slant height of 3 inches is calculated by finding the area of the base and the four triangular faces separately and then adding them together, resulting in a total surface area of 21.25 square inches.
Explanation:
To find the surface area of a pyramid with a square base of 2.5 inches and a slant height of 3 inches, we need to calculate the area of the base and the area of the four triangular faces.
For the base, which is a square:
Area of base = side × side = 2.5 inches × 2.5 inches = 6.25 square inches
For each triangular face:
Area of one triangle = (base × slant height) / 2 = (2.5 inches × 3 inches) / 2 = 3.75 square inches
Since there are four such triangles, we multiply the area of one triangle by 4:
Total area of four triangles = 3.75 square inches × 4 = 15 square inches
Finally, add the area of the base and the total area of the triangular sides to get the total surface area:
Total surface area = area of base + total area of triangles = 6.25 square inches + 15 square inches = 21.25 square inches
The surface area of the pyramid is therefore 21.25 square inches.
what is the area of a triangle with a base of 8 yards and a height of 3 yards
Answers
Triangle base: 8 yards
Triangle height: 3 yards
The area of a triangle is solved using this formula:
Area = (height * base) / 2
Using the given data:
Area of a triangle = (3 yards * 8 yards)/2
Area of a triangle = 24 square yards / 2
Area of a triangle = 12 square yards.
The area of the given triangle is 12 square yards.
Question 19 makes no sense
Answers
g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.
(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0
Thus, the equation of the line in question is y=(-1/5)x - 6.
Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
Krystal puts three pencils in order from longest to shortest what is a fast way to order the same pencils from shortest to longest
Answers
Can i please have urgent help! 60 POINTS
Answers
answer = 10
= 5 x 1/5 + 9
= 1 + 9
= 10
answer
10
audras parents are both in their forties. the sum of their ages is ninety -two. the product of their ages is 2,107. how old is audras oldest parent?
Answers
49 + 43 = 92
49 x 43 = 2,107
:)
Answer: Hello there!
Let's define x = age of parent 1, and y = age of parent 2, and suppose that y is the oldest one.
we know that:
x + y = 92
x*y = 2107
now we have a system of equations that we need to solve:
the first step is isolate one of the variables in one of the equation, let's isolate x in the first equation:
x = 92 - y
now we can replace it in the second equation and find the value of y.
x*y = 2107
y*(92 - y) = 2107
92y - y^2 = 2107
now we need to solve a cuadratic equation!
-y^2 + 92y - 2107 = 0
using the Bhaskara formula, we get:
[tex]y = \frac{-92 +/- \sqrt{92^{2} -4 *(-1)*(-2107) } }{-2} = \frac{-92 +/- \sqrt{36} }{-2} = \frac{-92 +/- 6}{-2}[/tex]
so we have two solutions:
y = (-92 + 6)/(-3) = 43
y = (-92 - 6)/(-2) = 49
because y is the oldest one, we need to take the biggest solution, this is y = 49.
so the oldest parent has 49 years.
if you want to find the age of the other parent, replace this in the first equation:
y + x = 92
49 + x = 92
x = 92 - 49 = 43
I asked this earlier and got no answer. Will give brainliest
The area of a square in 225 inches squared.
a. Write a quadratic equation that can be used to find the dimensions of the square.
b. Solve the equations. What are the dimensions?
Answers
s • s
We can also write this as
s^2
So, for any side length “s”, we can make a function, A(s), such that
A(s) = s^2
Now that we have a quadratic equation for the area of a square, let’s go ahead and solve for the side lengths of a square with a given area. In this case, 225 in^2
225 = s^2
Therefore,
s = sqrt(225)
s = 15
So, the dimensions are 15 x 15 in
HEEEEEEEEEEEEEEEEEELPPPPPPPP
Answers
y = 2x - 4
Explanation:
The general form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 2
Therefore, the equation of the line becomes:
y = 2x + c
Now, we will need to get the value of c.
We are given that (7,10) belongs to the line. This means that this points satisfies the equation of the line. So, we will substitute with this point in the equation and solve for c as follows:
y = 2x + c
10 = 2(7) + c
10 = 14 + c
c = 10 - 14
c = -4
Based on the above, the equation of the line is:
y = 2x - 4
Hope this helps :)
How many straight edges does a nonagon have?
Answers
select all the equations that represent a linear equation
Answers
Select all that apply.
A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?
The point was reflected over the y-axis and translated up 4 units.
The point was translated right 10 units and reflected over the x-axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y-axis and translated down 4 units.
Answers
The point was reflected over the y -axis and translated up 4 units.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
A point located at (5, -2) undergoes two transformations.
Its image is located at (-5, 2).
The point was reflected over the y-axis and translated up 4 units, as shown by the coordinates becoming (-5, -2), respectively, when the point was reflected over the y-axis and (-5,2).
So, The point was reflected over the y -axis and translated up 4 units.
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You can verify the zeroes of a function y=x^2+6x-7 by using a graph and finding where the graph ..........
Answers
What is 6.9-(-5)+4.1
Answers
The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides this longer side into two segments: 33 cm and 12 cm. What is the area of the parallelogram?
Answers
The area of a parallelogram can be found by taking its base (b) and multiplying by the height (h). The base has the measure of 33 +12 = 45 cm. Now, you just need to find the height of the parallelogram. The height can be found by using the pythagorean theorem ([tex] a^{2} + b^{2} = c^{2} [/tex].
So, when simplified the height of the parallelogram will be found from [tex] \sqrt{ 29^{2} - 21^{2}} [/tex]
The height is 20 cm. The base is 45 cm. 45 x 20 = 900.
The area of the parallelogram is approximately [tex]\( 1216.35 \)[/tex] square centimeters, with a longer side of 45 cm and height 27.03 cm.
To find the area of the parallelogram given the dimensions and conditions described, we can follow these steps:
1. Identify Key Dimensions:
- The shorter side [tex]\( a = 29 \)[/tex] cm.
- The longer side is divided into two segments: 33 cm and 12 cm. Therefore, the longer side [tex]\( b = 33 + 12 = 45 \)[/tex] cm.
2. Determine the Height Corresponding to the Longer Side:
- We need to find the height [tex]\( h \)[/tex] of the parallelogram with respect to the longer side [tex]\( b = 45 \)[/tex] cm.
3. Utilize the Perpendicular Segment Information:
- The perpendicular from the point of intersection of the diagonals to the longer side divides it into two segments: 33 cm and 12 cm.
- This perpendicular segment represents the height [tex]\( h \)[/tex] from the base to the opposite side.
4. Use Geometric Properties of the Parallelogram:
- In a parallelogram, the point of intersection of the diagonals divides each diagonal into two equal segments.
- Since the perpendicular divides the longer side into two segments, we can use these to find the height [tex]\( h \)[/tex].
Given that the point of intersection of the diagonals and the perpendicular segment splits the longer side into two segments (33 cm and 12 cm), we note that this splitting essentially occurs at the mid-point of the segments because the diagonals bisect each other.
5. Calculate the Area:
- The area [tex]\( A \)[/tex] of a parallelogram is given by the formula:
[tex]\[ A = \text{base} \times \text{height} \][/tex]
- Here, the base is the longer side [tex]\( b = 45 \)[/tex] cm, and the height [tex]\( h \)[/tex] needs to be calculated using the right triangle formed by the height and the segments.
6. Determine Height Using Right Triangle:
- We use the properties of the right triangle formed by the height and the segments:
[tex]\[ h^2 + \left(\frac{33 - 12}{2}\right)^2 = 29^2 \][/tex]
- This simplifies to:
[tex]\[ h^2 + 10.5^2 = 29^2 \][/tex]
[tex]\[ h^2 + 110.25 = 841 \][/tex]
[tex]\[ h^2 = 841 - 110.25 \][/tex]
[tex]\[ h^2 = 730.75 \][/tex]
[tex]\[ h = \sqrt{730.75} \][/tex]
[tex]\[ h \approx 27.03 \text{ cm} \][/tex]
7. Calculate the Area:
- Now that we have [tex]\( h \approx 27.03 \)[/tex] cm, the area [tex]\( A \)[/tex] of the parallelogram is:
[tex]\[ A = b \times h = 45 \times 27.03 \approx 1216.35 \text{ cm}^2 \][/tex]
Therefore, the area of the parallelogram is approximately [tex]\( 1216.35 \text{ cm}^2 \)[/tex].
Who can help me with number 1
Answers
5
---
9
===
2 * 3
-- --
3 2
What this does is get rid of the fraction on the bottom. But you also have to multiply the 5/9 by 3/4
5/9 * 3/2
When you do this you get
15/18 Both can be divided by 3
5/3 <<<<< answer
1 2/3 <<<< answer
1.66666 <<<< answer
how do you simplify equations? im having trouble w math. help
Answers
1. Removing parentheses by multiplying factors.
2. Using exponent rules to remove parentheses in terms with exponents.
3. Combining like terms by adding coefficients.
4. Combining the constants.
5. Adding, subtracting, multiplying or dividing both sides of an equation.
Brainliest? I would like to move up a rank!
Figure PQRS is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure P′Q′R′S′:
Which statement best compares the lengths of the sides of the two figures?
Length of PQ = Length of P′Q′
Length of PQ = Length of R′S′
Length of RS = Length of P′Q′
Length of RS = Length of Q′R′
Answers
Answer:
A. Length of PQ = Length of P′Q′
Step-by-step explanation:
We are given,
Figure PQRS is rotated by 180° counter-clockwise about the origin to obtain P'Q'R'S'.
Since, we know that, 'Rotation' is a transformation that turns the figure around a fixed point to a certain degree.
We get that, rotation does not affect the length of the figure.
So, the length of PQ = length of P'Q' and length of RS = length of R'S'
Thus, according to the options, we get that option A i.e. Length of PQ = Length of P′Q′ is correct.
Kevin works as a salesperson at a store that specializes in custom made computers. He earns a base pay of 325$ per week and a commission on his sales. If Kevin earned a total of $1125 last week, how much of it was commissions
Answers
Kevin made $800 in commissions last week.
Explanation:
Since we know that he only makes money in two ways, by base salary and commission, we know that added together they equal his whole pay.
Therefore we can set up the following equation and solve for his commission amount.
Total Pay = Base Pay + Commissions.
1125 = 325 + Commissions.
800 = Comissions.
Answer:
$800
Step-by-step explanation:
Kevin earns a base pay = $325 /week
He also make some extra earning in the form of commission. Let this extra earning be “$X”
Thus, Base pay + Extra earning through commission = $1125 -------------Equation (A)
Substituting the values in equation A, we get –
$325 + $X = $1125
$X = $1125 - $325
= $ 800
It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult to attend the show?
Answers
It cost an adult $15 to attend a show and $10 for a child.
Hope this helps!
Please help with any of those
Answers
hope this helps!
First you find the area of the base(circle) and multiply it by the 3D object's height.
geometric mean between 9 and 11
Answers
To find the geometric mean, you multiply the 2 numbers and then take the square root.
So you will have the square root of 99 or about 9.95.
Good luck,
MrEQ
The geometric mean of given numbers 9 and 11, using the formula is 9.95.
What is geometric mean?If a and b are two numbers
Their geometric mean = [tex]\sqrt{a*b}[/tex]
Given numbers are 9 and 11
So, the geometric mean of 9 and 11 will be:
[tex]\sqrt{9*11} \\\\\sqrt{99} \\\\9.95[/tex]
Therefore, the geometric mean of given numbers 9 and 11 is 9.95
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How do you do 3.)and 3.a)
Answers
Multiply this proportion by 5
5 cm : 75 yd
Multiply the original proportion by 8
8 cm : 120 yd
a) The dimensions of the field are 75 yd by 120 yd.
b) The area is (75 yd)*(120 yd) = 9000 yd^2.
A regular room at the Great Wolf Lodge is $229.99. You have a discount code to get 20% off of the room rate. The sales tax on the hotel rooms is 13%. Find the total cost of the room.
Please explain how to do it. I don't understand how to do it.
Answers
229.99-46 = $183.99
$183.99*.13 =$23.92 sales tax added
183.99+23.92 = $207.91
First, we'll want to apply our discount code, as you wouldn't want to discount something after taxes. To apply the discount, we will start by multiplying our percent by the original price.
Multiplying by a percent is easy! All we need to do is put the percent over 100, divide the fraction, and our decimal is the value.
[tex] \frac{20}{100}= \frac{1}{5} =0.2[/tex]
Now that we know our percent can be represented as "0.2," we will multiply 0.2 by our original price.
[tex]229.99*0.2= 45.998[/tex]
As our unit is money, we will round to the nearest hundredth. When we round to the nearest hundredth here, we can see that 20% of 229.99 is $46.00.
We aren't done calculating the discount yet, though! We still need to subtract the "46" from our original price, since we are only getting 20% off, not only paying 20%.
[tex]229.99-46.00=183.99[/tex]
Now that we have our discounted price, we need to add the sales tax to it. Again, we'll need to find our sales tax's value as a decimal.
[tex] \frac{13}{100} =0.13[/tex]
This time, we will multiply the discounted price by "1.13." The first "1" represents the discounted price, and the ".13" afterwards represents the cost of the sales tax.
[tex]183.99*1.13=207.9087[/tex]
Again, we'll need to round to the nearest hundredth, so our "207.9087" becomes "207.91."
With all of the logic above in mind, we can conclude that the cost of the room, after the discount and the sales tax, is $207.91.
)Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
A
$35 − (−$7) + (−$5)
B
$35 + (−$7) − (−$5)
C
$35 + (−$7) + (−$5)
D
$35 − (−$7) − (−$5)
a. b c or d
Answers
Which is equal to:
Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)
ANSWER: (C) $35 + (-$7) + (-$5)
Hope this helps! :)
Answer:C
$35 + (−$7) + (−$5)
hope this helps :}
If a store orders a total of 55 of flour, how many 25-pound bags does the store order
Answers
What prime factor(s) will make the lcm of 9 and 15
Answers
15/3 = 5
LCM = 3