y
10
1
B(7,9)
Create a rectangle around the parallelogram. The
dimensions of this rectangle are
Find the area of the four right triangles surrounding the
parallelogram. The total area of the triangles is
square units
Subtract the triangle areas from the area of the
rectangle to obtain the area of the parallelogram. The
area of parallelogram ABCD is square units.
6
2
-10
6
-6
A-3,-1)
-2
10
C(8, -1)
D(-2,-11)
Answers
Answer:
rectangle: 11 × 20triangle area: 110 u²parallelogram area: 110 u²Step-by-step explanation:
See below for a graph showing the parallelogram and the rectangle.
The dimensions of the rectangle are 11 by 20. The rectangle area is ...
rectangle area = bh = (11)(20) = 220 . . . square units
There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...
triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units
The area of the parallelogram is the difference of these, ...
parallelogram area = rectangle area - triangle area
= (220 units²) -(110 units²) = 110 units²
The area of parallelogram ABCD is 110 square units.
_____
Check
The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.
Answer:
1) 11 by 20 2) 110 3) 110 correct on edg
Step-by-step explanation:
Create a rectangle around the parallelogram. The dimensions of this rectangle are
11 by 20
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is
110 square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is
110 square units.
Related Questions
PLEASE READ! HELPFUL INFORMATION
Answers
Answer:
u kind of forgot the attachment bestie
index rule, should the project be accepted if the discount rate is 12.5 percent? Why or why not? Multiple Choice No; because the Pl is 3.3 Yes; because the PI is 3.0 No; because the Pl is 0.8 Yes; because the PI is 2.6 Yes; because the PI is 2.2
Answers
In order to determine whether the project should be accepted or not when the discount rate is 12.5 percent, we can use the profitability index (PI) which is calculated by dividing the present value of cash inflows by the initial investment.
The formula for PI is:PI = (PV of cash inflows) / (initial investment)
A project should be accepted if the profitability index is greater than 1. Therefore, we need to calculate the profitability index (PI) of the project using the given information and determine whether it is greater than 1 or not.
The given answer choices are:
No; because the Pl is 3.3
Yes; because the PI is 3.0
No; because the Pl is 0.8
Yes; because the PI is 2.6
Yes; because the PI is 2.2
However, there is no information given regarding the Pl (present value of cash inflows) for any of these answer choices.
Therefore, we cannot use these answer choices to determine whether the project should be accepted or not when the discount rate is 12.5 percent. So, we need to calculate the PI using the given information and check if it is greater than 1 or not.
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g How many ways are arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and also the consonants appear in alphabetical order
Answers
There are 43,200 number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.
To find the number of ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order, follow these steps:
1. Identify the vowels and consonants: Vowels are U, I, E, A, and Y; consonants are N, R, S, S, L, and L.
2. Arrange the consonants in alphabetical order: L, L, N, R, S, S.
3. Count the number of positions available for placing the vowels: There are 7 positions available for the vowels (between the consonants and at the beginning and the end of the word), which are _ L _ L _ N _ R _ S _ S _.
4. Count the permutations of the vowels: There are 5 vowels with the letters U, I, E, A, and Y occurring once. So there are 5! = 120 permutations.
5. Consider the consonants with repeating letters: Since there are two Ls and two Ss, we must divide the total permutations by the product of the repetitions (2! for L and 2! for S). Therefore, there are 6!/(2!*2!) = 360 arrangements for consonants.
6. Combine the permutations of vowels and consonants: To find the total number of ways to arrange the letters, multiply the permutations of vowels (120) by the arrangements for consonants (360).
120 * 360 = 43,200
So, there are 43,200 ways to arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and the consonants appear in alphabetical order.
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The function W(h, A) represents the weight (in kg) of a bull elephant as a function of its height (h, in meters) and age (A, in years). (a) Give a real-life interpretation for the expression W(2.5, 38) = 4, 500, including proper units. = W(2.6,38)-W(2.5,38) (b) Give a real-life interpretation for the expression 60, including proper units. 2.6-2.5 (c) Give a real-life interpretation for the equation W(h, 45) = 4,800; what would a solution to this equation tell us?
Answers
(a) The weight of a bull elephant that is 2.5 meters tall and 38 years old is 4,500 kg.
(b) The difference in height between two bull elephants is 0.1 meters or 10 centimeters.
(c) A solution to the equation W(h, 45) = 4,800 would tell us the height of a 45-year-old bull elephant whose weight is 4,800 kg.
(a) The weight of a bull elephant depends on its height and age. In this case, when the elephant is 2.5 meters tall and 38 years old, its weight is determined to be 4,500 kg. This indicates that for an elephant with these specific characteristics, its weight is 4,500 kg.
(b): The expression 60 represents the difference in height between two bull elephants. It specifically denotes the height of a bull elephant that is 2.6 meters minus the height of a bull elephant that is 2.5 meters. This calculation gives us the precise height difference between the two elephants, which in this case is 0.1 meters or 10 centimeters.
(c) The equation W(h, 45) = 4,800 describes the relationship between the height and weight of a bull elephant at the age of 45. By solving this equation, we can determine the height of a 45-year-old bull elephant whose weight is 4,800 kg. It provides a specific value for the height of an elephant of a particular age and weight, allowing us to make accurate measurements and predictions about these characteristics.
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7. The coach has $250 to spend on volleyball equipment.
She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each.
How many volleyballs can she buy? Explain how you solve.
Use one or more equations and bar diagrams in your explanation
Tell what your variables represent. 4.AR.1.1.4.AR ??
Answers
The amount of volleyballs that the coach can buy is given as follows:
19 volleyballs.
How to obtain the amount of volleyballs that she can buy?The total spending can be modeled by a linear function in slope-intercept format, as follows:
y = mx + b.
The coefficients of the linear function are given as follows:
m is the slope, representing the cost per ball.b is the intercept, representing the extra costs, along with the ball.She buys 4 volleyball nets for $28 each, hence the intercept is given as follows:
b = 4 x 28 = 112.
Volleyballs cost $7 each, hence the slope is given as follows:
m = 7.
Then the cost function is defined as follows:
C(x) = 7x + 112.
The coach has $250 to spend on volleyball equipment, hence:
C(x) = 250.
Thus the amount of volleyballs that can be purchased is obtained as follows:
7x + 112 = 250
7x = 138
x = 138/7
x = 19.7.
The amount is rounded down, as there would not be enough money remaining for the 20th ball.
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(2x^0y^2)^-3 multiply 2yx^3
Answers
Answer:
\(\frac{x^{3} }{4y^{5} }\)
Step-by-step explanation:
Simplifica la expresión
Give the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) if the cost function is: C=6+8q. Average fixed cost is: AFC= Marginal cost is: MC= Average variable cost is: AVC= Average cost is: AC= 1.) Use the line drawing tool to draw the marginal cost curve. Label this line 'MC'. 2.) Use the 3-point curved line drawing tool to draw the average cost curve for quantities q=1. q=2, and q=3. Label this curve 'AC'.
Answers
Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.
To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.
Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.
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How much time has passed from the first clock to the second clock?
Answers
fast as possible pls, 100 points
Complete the product:
5x^3 (7x−1)
Answers
Answer:
35 x^4 - 5x^3
Step-by-step explanation:
5x^3 (7x−1)
Distribute
5x^3 (7x) +5x^3 *(−1)
35 x^3 *x - 5x^3
35 x^4 - 5x^3
Answer:
Answer:
35 x^4 - 5x^3
Step-by-step explanation:
5x^3 (7x−1)
Distribute
5x^3 (7x) +5x^3 *(−1)
35 x^3 *x - 5x^3
35 x^4 - 5x^3
Step-by-step explanation:
Given the value of A in the diagram , Find ;
a.
\( {A}^{ - 1} \)
b. Show that
\(A\cdot {A}^{ - 1} = 1\)
where I is an identity matrix .
![Given the value of A in the diagram , Find ;a. [tex] {A}^{ - 1} [/tex]b. Show that [tex]A\cdot {A}^{](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/I3ICAIuDBEoC0g2UvVUweanUuHsT0Bdz.jpeg)
Answers
Answer:
answer is in attachment
![Given the value of A in the diagram , Find ;a. [tex] {A}^{ - 1} [/tex]b. Show that [tex]A\cdot {A}^{](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/m5Ghk2k5GUDT2klohW55j6pmG1nFrjIP.jpeg)
![Given the value of A in the diagram , Find ;a. [tex] {A}^{ - 1} [/tex]b. Show that [tex]A\cdot {A}^{](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/nmG88DtCj5aYluSwdENNIoCtdouodEIs.jpeg)
plssssssss helpppppp
Answers
find the exact length of the polar curve , r = 5cos(theta), 0<= theta <= (3pi)/4
Answers
To find the exact length of the polar curve r = 5cos(θ), where 0 ≤ θ ≤ (3π)/4, we can use the arc length formula for polar curves:
L = ∫[θ₁ to θ₂] √(r(θ)² + (dr(θ)/dθ)²) dθ
In this case, we have r(θ) = 5cos(θ). Let's calculate dr(θ)/dθ:
dr(θ)/dθ = -5sin(θ)
Substituting these values into the arc length formula:
L = ∫[0 to (3π)/4] √((5cos(θ))² + (-5sin(θ))²) dθ
= ∫[0 to (3π)/4] √(25cos²(θ) + 25sin²(θ)) dθ
= ∫[0 to (3π)/4] √(25(cos²(θ) + sin²(θ))) dθ
= ∫[0 to (3π)/4] √(25) dθ
= 5∫[0 to (3π)/4] dθ
= 5[θ]₀^(3π)/4
= 5[(3π)/4 - 0]
= 5(3π)/4
Therefore, the exact length of the polar curve r = 5cos(θ), where 0 ≤ θ ≤ (3π)/4, is (5(3π)/4) units.
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pleaseplease Help mee
Answers
Answer:
B. What is the average amount of points Jenny Ortiz scores in a game?
Step-by-step explanation:
Vocabulary Choose the example of an inverse relationship.
Multiplying by 4 is the inverse of multiplying by –4.
Multiplying by 4 is the inverse of adding by 4.
Dividing by 4 is the inverse of multiplying by 4.
Dividing by 4 is the inverse of multiplying by –4.
Answers
Answer:Dividing by 4 is the inverse of multiplying by 4.
Step-by-step explanation:
Rashad compiled a list of fixed expenses and noted his total expenses for last month.
february fixed expenses
amount
total february
expenses
$3,291.74
rent
$1,150.00
car loan
$348.00
internet
$46.14
student loan payment
$399.34
for rashad to determine his variable expenses, he'll need to
this situation is
his fixed expenses front his total expenses for the month. the equation that represent-
Answers
The equation that represents the variable expences for the february is
x+ $1943.48 = $3,291.74
The linear equation is an equation where highest degree of the variables is 1.
As we know Total expenses include fixed as well as variable expenses.
Total Expenses = Variable Expenses +Fixed Expenses
⇒ Variable Expenses = Total Expenses - Fixes Expenses
Hence to Determine variable expenses Rashad needs we have to subtract his fixed expenses from his total expenses for the month.
Here, given that all February fixed expenses amount are
For rent, expenses are $1,150.00
For car loan expenses are $348.00
For internet, expenses are $46.14
For a student loan, expenses are $399.34
So the total amount of fixed expances are= rent expences+ car loan expences+ internet expences+ student loan expences = $1150+ $348+ $46.14+ $399.34 =$1943.48
Given, The total February expanses are $3,291.74.
Let;s assume the variable expenses is x
As we know
Total Expenses = Variable Expenses +Fixed Expenses
Then the linear equation will be
⇒ x+ $1943.48 = $3,291.74
solving for x i.e. Variable Expenses = $3,291.74-$1943.48
⇒ Variable Expenses = $1348.26
Therefore The equation that represents the variable expences for the february is x+ $1943.48 = $3,291.74
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Answer:
subtract, v=$3291.74 - $1943.48
Step-by-step explanation:
PLATO
30 POINT QUESTION !! Will make the brainliest
Answers
write the equation for the line that goes through the points (-8,2) and (7,7)
Answers
Answer:
y=3x+(0,4.5)
Step-by-step explanation:
i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.
Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text. She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional. What is the weight of the 2 liter jug?
Answers
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
The answer is 3kg!
Step-by-step explanation:
How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist
Answers
Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.
The Pythagoras theorem formula is expressed as:
\((\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}\)
Now, let us take an example to understand the concept better.
Example:A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?
Solution:We are given the following:
Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cmWhen we plug the hypotenuse and the base, in the formula, we get;
⇒ 15² = 9² + (side₂)²Subtract 9² on both sides of the equation to isolate (side₂)².
⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S
⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).
⇒ √144 = √(side₂)²⇒ 12 = side₂Therefore, the measure of the height is 12 centimeters.
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James paid 3.43 for 20 ml cleaning bottle. How much did he pay per millilitre?
estimate:
calculations:
Answers
Answer:
James is paying $0.17 per ml.
Step-by-step explanation:
To get this answer you divide the amount purchased by the amount spent: 3.43/20
This will give you 0.1715, which rounds down to 0.17 (which is 17 cents)
Sort each function into the correct category
f(x) = 0.45-1
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 5
f(x) = 4,5x + 1.8
f(x) = 19x2
f(x) = x2 - 3x + 4
Fx) = 2x - 6
Answers
Answer:
^ DONT LISTEN TO HIM
Step-by-step explanation:
linear - 4.5x + 1.8 and 2x - 6
quadratic - 19x^2 and x^2 - 3x + 4
exponential - 5^x and 0.45^x-1
ur welcome if ur using edge
heyy! i’ll give brainliest please help thanks
Answers
Answer:
Aswan, Sudan
Step-by-step explanation:
Answer:
egypt and africa
Step-by-step explanation:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.
Answers
Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
Step-by-step explanation:
This is sample response
The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
A gratuity of 15 percent
Total cost = 1200 + 72 = 1272
The gratuity for the services provided = 0.15x1272 = $190.8
Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
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help maths i’m bad at this :)))(
Answers
Hello, I’m struggling, please help :)
Answers
Answer:
1. Vanilla
2.Strawberry
3.Chocolate
4.CS
5.VV
6.SS
Step-by-step explanation:
For these problem you are solving to find ALL of the possible outcomes with the 3 flavours.
1. They already have a combination for Chocolate-chocolate and Chocolate-Strawberry. The only flavour you haven't used yet is vanilla which makes your first answer vanilla.
2. They already have a combination for Vanilla-Chocolate and Vanilla-Vanilla. The only flavour you haven't used yet is Strawberry which makes your answer strawberry.
3. They already have a combination for Strawberry-Vanilla and Strawberry-Strawberry. The only flavour you haven't used yet is chocolate which makes your answer chocolate.
So when looking at the letters they are honestly just initials to the combinations possible. The order of the letters depend on what words come first going down your branch.
4. The two words are chocolate and strawberry. The first letter in both words are C and S so the answer is CS.
5. The two words are vanilla and vanilla. The first letter in both words are V and V so the answer is VV.
6. The two words are strawberry and strawberry. The first letter in both words are S and S so the answer is SS.
3x1 73/100 what is it equal to?
Answers
Answer:
5.19 is what i get as the answer
Suppose () = 1/8 for 0 ≤ ≤ 4 for x being a continuous random variable Is () a probability density function? Prove or disprove.
Answers
Answer:
The expected value of x ; E(x) = 1
Step-by-step explanation:
F(x) = 1/8 for 0 ≤ x ≤ 4
To prove that it is a probability density function we will find E(x )
attached below is the required prove
It is proven that F(x) = 1/8 for 0 ≤ x ≤ 4 is probability density function
The expected value of X = 1
PLEASEEEEE HELP I POSTED THIS ALOT BUT DIDN'T GET AN ANSWER PLZZZZZ
Answers
Answer:
(2x + 4)^2 = -35200
....................
evaluate -16 + 9 - 5
Answers
Answer:
-12
Step-by-step explanation:
add -16 and 9 together to get -7 then add the -5 to get -12
Answer:
-12
Step-by-step explanation:
(PEMDAS)
( -16 + 9 ) - 5 = -12
-7 - 5 = - 12
Hope this helps!
What is 8.51736 rounded to the nearest ten-thousandth?
Answers
hope this helps