hi! thanks for confirming that this is the rhombus. i found a picture of it which i've attached below.
to answer this question, let's keep in mind that in any rhombus, the diagonals bisect each other at right angles. this means that each diagonal cuts the other into two equal parts. the diagonals of ABCD are AC and BD, with E serving as the midpoint of both.
E divides AC into two parts: AE and EC. from the above, we know that AE and EC will be equal! if AE = 8, EC also = 8, and AC = 16.
i imagine you don't want to write out a huge paragraph, so here's everything i just said in proof format, as a way to show your work:
STATEMENT /// REASON
1. AE = 8 /// 1. Given
2. AC = BD /// 2. The diagonals of a rhombus bisect each other at right angles
3. AE = EC /// 3. Definition of midpoint
4. EC = 8 /// 4. Substitution (based on given)
5. AE + EC = AC; 8 + 8 = AC; AC = 16 /// 5. Addition
hope this helps and sorry for taking a while :)
Please help me with my homework!
Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?
A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)
Recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length. The length of a rectangle is 2 times the width. If the area is 392 square feet, then what is the length of the rectangle, in feet?
Answer:
7.7
Step-by-step explanation:
I did it on edu!
You can use the fact that area of a rectangle is its length times its width.
The length of the given rectangle is 28 feet.
What is the area of a rectangle?Area of a rectangle is its length times its width.
If a rectangle has length x units and width y units, then we have:
\(Area = x \times y \: \rm unit^2\)
How to calculate the values of items which are not known?Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.
Using above method for getting the length of the rectangleLet the length of the given rectangle be x units, and let its width be y
Then as it is given that
Length of the rectangle = 2 times width of the rectangle
or
\(x = 2 \times y\)
We have area= 392 square feet
Since area = length times width, thus, we have
\(Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14\)
Thus, the width of the rectangle is 14 feet
And thus, the length of the rectangle = double of width = 28 feet.
Thus,
The length of the given rectangle is 28 feet.
Learn more about area of rectangle here:
https://brainly.com/question/349091
A group of volunteers has been collecting toys to deliver to a local charity. Over the last 5 days, the volunteers have collected 425 toys. What has been their collection rate, in toys per day?
Answer:
Their rate was 85 toys per day.Step-by-step explanation:
Given equation:
425 ÷ 5Now, let's solve the equation:
425 ÷ 5= 85Their rate was 85 toys per day.
Corrine is purchasing beads to make a new necklace and bracelet set. The two pieces of jewelry each need silver and green beads. The necklace requires 25 silver beads and 15 green beads. The bracelet requires 10 silver beads and 5 green beads. Corrine paid $27.50 for the necklace beads and $10 for the bracelet beads. How much does each silver bead cost? How much does each green bead cost? Be sure to show your work and explain your answer.
Each silver bead costs $0.50, and each green bead costs $1.
Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.
According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.
The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.
Using this information, we can set up the following system of equations:
25s + 15g = 27.50 (Equation 1)
10s + 5g = 10 (Equation 2)
We can solve this system of equations using any appropriate method, such as substitution or elimination.
Let's use the elimination method to solve the system:
Multiplying Equation 2 by 3, we get:
30s + 15g = 30 (Equation 3)
Subtracting Equation 3 from Equation 1:
25s + 15g - (30s + 15g) = 27.50 - 30
-5s = -2.50
s = 0.50
Now, substituting the value of s into Equation 2:
10(0.50) + 5g = 10
5 + 5g = 10
5g = 5
g = 1
for more such questions on costs
https://brainly.com/question/2292799
#SPJ8
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
mckwjenownfedjoiwnvoibfl?
no because yes.
If mckwjenownfedjoiwnvoibfl is aughwanjkgadgajnk, then no.
SUSTAINIBILTY COUNTS! ENERGY CHALLENGE WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS o of post summer break with all calculations.
SUSTAINIBILTY COUNTS! ENERGY CHALLENGE
WHAT TO DO: COMPARITIVE STUDY OF CONSECUTIVE ELECTRIC BILLS HOW TO DO: 1) Examine your electricity bills of pre summer break.
2) List the various electrical appliances used in your home.
3) Find out the power consumption, duration for the device in use.
Do estimate calculation of your bills as per power consumption.
4) Make an energy reduction plan and determine how far you could implement it.
5) Re – examine your electricity bill of post summer break with all calculations.
6) WRITE your reduction plan & change in the bill.
Given statement solution is :-
1) Gather your electricity bills from the period before the summer break.
2) Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
3) Research or locate the power consumption information for each appliance.
4) Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
5) After the summer break, collect your electricity bill for the corresponding period.
6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:
Examine your electricity bills of pre-summer break:
Gather your electricity bills from the period before the summer break.
Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.
List the various electrical appliances used in your home:
Create a comprehensive list of all the electrical appliances used in your home.
Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.
Find out the power consumption and duration for each device in use:
Research or locate the power consumption information for each appliance.
This information is typically provided on the appliance itself or in the user manual.
Note down the power rating of each device in watts (W) or kilowatts (kW).
Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).
Calculate the estimated electricity consumption and cost:
Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).
Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.
Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.
Sum up the estimated costs for all appliances to get the total estimated electricity bill.
Make an energy reduction plan and determine implementation:
Identify areas where energy consumption can be reduced, such as:
Turning off lights when not in use.
Setting air conditioner temperatures at an optimal level.
Using energy-efficient appliances.
Unplugging devices when not in use.
Determine the feasibility of implementing these energy reduction measures in your home.
Re-examine your electricity bill of post-summer break:
After the summer break, collect your electricity bill for the corresponding period.
Calculate the actual energy consumption and cost using the same method as in step 4.
Compare the actual post-summer break bill with the estimated pre-summer break bill.
Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.
Document your reduction plan and changes in the bill:
Write a report summarizing your findings and observations.
Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.
Provide recommendations for further improvements or adjustments to achieve even greater sustainability.
By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.
For such more questions on Sustainable Energy Bill Study
https://brainly.com/question/3159537
#SPJ8
Simplify 8 divided by the fourth root of 32x
Pls help i don’t know how to do this
Using the altitude or leg rule, we have:
x ≈ 42.7
y = 40
z ≈ 53.4
How to Apply the Altitude or Leg Rule?The leg rule is given as:
hypotenuse/leg = leg/part.
The altitude rule is:
left/altitude = altitude/right
To find the value of x, apply the altitude rule:
left = x
right = 24
altitude = 32
Substitute:
x/32 = 32/24
Cross multiply:
24x = 32²
24x = 1,024
x ≈ 42.7
To find y, apply the leg rule:
leg = y
part = 24
hypotenuse = x + 24 = 42.7 + 24 = 66.7
Substitute:
66.7/y = y/24
y² = 1,600.8
y = √1x00.8
y = 40
To find z, apply the leg rule:
leg = z
part = x = 42.7
Hypotenuse = 66.7
Substitute:
66.7/z = z/42.7
z² = 2,848.09
z = √2,848.09
z ≈ 53.4
Learn more about the leg or altitude rule on:
https://brainly.com/question/26257841
#SPJ1
An amount of $21,000 is borrowed for 15 years at 7.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
round your answer to the nearest dollar.
Answer: $64,340
Step-by-step explanation:
Because it is a 7.75% increase, simply do 21,000*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775*1.0775 to get 64339.6179
Hope it helps <3
A rectangle has a height of 3x and a width of 2x-3Express the area or the entire triangle
Answer
6x² - 9x
Explanation
Given:
Height = 3x
Width = 2x - 3
The area of a rectangle = Length x Width
From the figure, length = height = 3x
Area = 3x(2x - 3)
In expanded form, we shall open the parenthesis
Area = (6x² - 9x) squared unit
which of the following is a polynomial
Answer: the answer is C
Step-by-step explanation:
Estimate The problem
2,731÷31
Answer:
your answer should be 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Start by rounding both numbers, 2700 divided by 30
giving you, 90
Use what you know about intersecting lines to label the missing and
picture below.
35°
X
type of angle pair:
zoom in
X =
OManeuvering the Middle LLC, 2016, 2022
Answer:
x = 145
Step-by-step explanation:
x and 35° lie on a straight line and are supplementary angles , sum to 180°
x + 35 = 180 ( subtract 35 from both sides )
x = 145
please help me please help
Answer:
y=-1/2x-7
Step-by-step explanation:
Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts
Answer:
12.54
Step-by-step explanation:
Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592. What equal monthly payments (in $) must Eric make in order to pay back the loan, with interest, in 36 months?
Answer:
He will pay $922 Eve month where
$238.6667 is the interest in the payment
Step-by-step explanation:
Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592 to be paid back in 36 months monthly.
Total money to be paid back
= 24600+8592
Total money to be paid back
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= 33192/36
= $922
But if the interest wasn't added
He'll pay= 24600/36
=$683.333
So the interest amount in the payment every month= 922-683.333.
= $238.6667
He will pay $922 Eve month where
$238.6667 is the interest in the payment
The calculation is as follows:Total money to be paid back
= 24600+8592
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= \(33192\div36\)
= $922
Now in the case when the interest wasn't added
He'll pay= \(24600\div 36\)
=$683.333
So the interest amount in the payment every month is
= 922-683.333.
= $238.6667
Learn more: https://brainly.com/question/17429689?referrer=searchResults
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of:
federalism
individual rights
checks and balances
republicanism
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.
What is federalism?Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.
What is republicanism?Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.
This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.
Read more on republicanism here: https://brainly.com/question/5188360
#SPJ1
Answer:
republicanism
Step-by-step explanation:
Which is less 2/5 or 4/5
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Which is less, 2/5 or 4/5?
\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
I'll use a cake for explanation.
Suppose we have a cake, and one of your companions, Mary, is hungry, so she takes 2/5 of one cake. Then, your other friend, Bella, takes 4/5 of the cake.
Then you compare the cakes. Who has less, Mary or Bella?
That's right, Mary.
So 2/5 is less than 4/5.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Factor the polynomial and use the factored form to find the real zeros.
P(x) = x⁴ - 3x³ + 2x²
x = ____________
Sketch the graph
Answer:
x = 2 or x = 1
Step-by-step explanation:
The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
Learn more about chart on
https://brainly.com/question/25032284
#SPJ1
Hash 1 has an input data which is 2 characters long while Hash 2 has an input data which is 300000 characters long. Choose the correct option
The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.
What is the difference between Hash 1 and Hash 2 ?The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.
In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.
Find out more on Hash at https://brainly.com/question/13068609
#SPJ1
The options for this question include:
Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing small input data.Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing small input data. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing large input data.Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
Solve 3^5x=10
HELP PLS
Answer:
x = 10/243
Step-by-step explanation:
3^5x = 10
243x = 10
Divide 243 on both sides
10/243
Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces
3 pounds 32 ounces < 14 pounds 40 ounces
1,000 pounds = 1 ton
1 pound and 5 ounces < 1.5 pounds
2 tons = 4,000 pounds
28 ounces > 25 ounces
What are the values in the compared weights?The comparison of the values of the given weights is as follows:
3 pounds 32 ounces < 14 pounds 40 ounces
This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.
1,000 pounds = 1 ton
This is because 1,000 pounds is equal to 1 ton.
1 pound and 5 ounces < 1.5 pounds
This is because 1 pound and 5 ounces is less than 1.5 pounds.
2 tons = 4,000 pounds
This is because 2 tons is equal to 4,000 pounds.
28 ounces > 25 ounces
This is because 28 ounces is greater than 25 ounces.
Learn more about ounces and pounds at: https://brainly.com/question/10618309
#SPJ1
Complete question:
Write the comparison using <, >, or =.
3 pounds 32 ounces vs 14 pounds 40 ounces
1,000 pounds vs 1 ton
1 pound and 5 ounces vs 1.5 pounds
2 tons vs 4,000 pounds
28 ounces vs 25 ounces
a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph. how long does the Air Force plane need to fly before the planes are 3510 miles apart?
The time the airforce plane needs to before the planes are 3510 miles apart is 8.32 hours.
What is time?Time is the duration of an event
How to find how long before the planes are 3510 m apart?Since a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph.
The distance flown by the jet is d = vt where
v = speed of jet = 410 mph and t = time of flight of jet planeSo, d = 410t
Also, the distance flown by the airplane is D = vt' where
v = speed of airplane = 160 mph and t' = time of flight of airforce plane = t + 3 (since it flies 3 hours later)So, D = 160t'
= 160(t + 3)
Since the total distance apart of the both jet and airplane is D' = d + D, we have
D' = 410t + 160(t + 3)
Given that D = 3510 miles, we have that
410t + 160(t + 3) = 3510
Soving for t, we have
410t + 160t + 480 = 3510
570t = 3510 - 480
570t = 3030
t = 3030/570
t = 5.32 hours
Since t' = t + 3, we have
t' = 5.32 + 3
= 8.32 hours
So, the airforce plane needs to fly for 8.32 hours.
Learn more about time of flight of plane here:
https://brainly.com/question/14012337
#SPJ1
HELPLPLPPPLPLPLPLPLPLPLPLPLPLPLPLP
Answer:
Mayor will lose a large percentage
Step-by-step explanation:
Answer:
The mayor will lose by a large perecentage
Step-by-step explanation:
if a+b=3, ab=40, and a>b find the value of the following (a+2)(b+2)
a=1 b=2
1+2=3
1x2=2
hope this answers your question
help please ill give you brainliest !! and show work please
find the length of SEGMENT BC
Answer:
BC = 4
Step-by-step explanation:
The diagram shows a circle with radius AE and chord BD.
Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.
This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.
The length of the radius is:
\(AE = 3 + 2 = 5\)
As AB is also the radius, AB = 5.
To find the length of BC, use Pythagoras Theorem:
\(AC^2+BC^2=AB^2\)
\(3^2+BC^2=5^2\)
\(9+BC^2=25\)
\(9+BC^2-9=25-9\)
\(BC^2=16\)
\(\sqrt{BC^2}=\sqrt{16}\)
\(BC=4\)
Therefore, the length of line segment BC is 4.
The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How many different teams made up of two girls and two boys could be chosen?
Answer:
30 ways
Step-by-step explanation:
Given the following :
Number of boys in school (n1) = 5
Number of girls in school (n2) = 3
Total number of team members to be selected = 4
Number of boys required in team(r1) = 2
Number of girls required in team(r2) = 2
How many different teams made up of two girls and two boys could be chosen?
= (2 boys from 5) * (2 girls from 3)
Using combination :
5C2 * 3C2
Recall :
nCr = n! ÷ (n-r)! r!
5C2 = 5! ÷ (5-2)! 2!
5C2 = 5! ÷ 3!2!
5C2 = (5*4) / 2 * 1 = 10ways
3C2 = 3! ÷ (3-2)! 2!
3C2 = 3! ÷ 1!2!
3C2 = (3) / 1 = 3ways
3C2 = 3/1 = 3ways
10 * 3 = 30 ways