Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is
Answers
Answer:
The perimeter of the rhombus is approximately 19.999.
Step-by-step explanation:
First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:
Segment AC
\(AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}\)
\(AC \approx 9.899\)
Segment BD
\(BD = \sqrt{(3-2)^{2}+(1-2)^{2}}\)
\(BD \approx 1.414\)
The perimeter of the rhombus (\(p\)) is calculated by the following equation:
\(p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}\)
\(p = 2\cdot \sqrt{AC^{2}+BD^{2}}\)
\(p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}\)
\(p \approx 19.999\)
The perimeter of the rhombus is approximately 19.999.
Related Questions
Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above
Answers
Answer:
D) none of the above
Step-by-step explanation:
16+20+30+30=96
96/4 =24
A retirement community in Florida wants to estimate the total number of retirees it welcomes to its senior center in a
month. Weekly attendance logs show 346 people came during the first week of March, followed by 412 the second week,
293 the third week, and 689 the fourth week of March. Estimating each value to the nearest tens place before totaling, what
was the total estimated number of retirees at the senior center in March?
Answers
The total estimated number of retirees at the senior center in retirement community in Florida in March is 1,740.
Calculating the number of retireeTo estimate the total number of retirees at the senior center in March, round each weekly attendance to the nearest tens place and add them together:
To the nearest tens, we have
First week: 346 ≈ 350
Second week: 412 ≈ 410
Third week: 293 ≈ 290
Fourth week: 689 ≈ 690
Add the estimated values
350 + 410 + 290 + 690
= 1,740
Therefore, the total estimated number of retirees at the senior center in March is 1,740.
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Use the properties of rational exponents to simplify 6/6 1/4
Answers
Answer:
one
Step-by-step explanation:
Use the properties of rational exponents
The solution is, Using the properties of rational exponents to simplify 6/6 =1.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
6/6
= 6:6
i.e. we have to divide 6 by 6
we get,
6/6 = 1
Hence, The solution is, Using the properties of rational exponents to simplify 6/6 =1.
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Can someone please help me with this? I need it done ASAP! Will mark brainliest. Random answers will be reported.
Answers
Answer:
(-5, 8)Step-by-step explanation:
P(4, -3) → P'(-1, 5)Find the difference:
-1 - 4 = -5 for x5 - (-3) = 8 for yThe translation rule is:
(x, y) → (x + (-5)), (y + 8)Answer:
(-5, 8)
Step-by-step explanation:
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Answers
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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Rose participates in a charity relay walk. There are 5 members on her team, including Rose. Each person walks around a park trail that is 2.7 miles long. How many total miles does Rose's team walk?
Answers
One federal tax schedule states that if you are single and your taxable income is between $37,350 and $90,550, then you owe $5152.25 plus 25% of your taxable income over $37,350. Find a formula giving tax owed T as a linear function of taxable income I over $37,350. Both T and I are measured in dollars. (If an answer does not exist, enter DNE.)
Answers
The linear function is given by:
\(T(i) = 0.25I - 4184.98 , 37350 \leq T \leq 90550\)
---------------------------
A linear function has the following format:
\(y = mx + b\)
In which
m is the slope.b is the y-intercept.---------------------------
Fixed taxes of $5152.52, thus:\(T = I + 5152.52\).
The income over $37,350 is I - 37350.25% of this is 0.25(I - 37350).Thus, the linear function for the taxable income is given by:
\(T(I) = 0.25(I - 37350) + 5152.52\)
\(T(I) = 0.25I - 9337.5 + 5152.52\)
\(T(i) = 0.25I - 4184.98 , 37350 \leq T \leq 90550\)
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Please help idek know this 4th grade hw my sister is doing.
Answers
Answer: easy 85/5=17 (calculated in head)
Step-by-step explanation: to start: #1: how many times does 5 go into 8? 1. Then subtract and you get 3. Drop down the 5: 35; that leads to the answer: what is 35 ➗ 5? 7. There is your answer. 17.
What is the constant in 12r + r/2-19
Answers
Answer:
constant is - 19
Step-by-step explanation:
the constant is the term in an expression with no variable attached to it.
12r + \(\frac{r}{2}\) - 19
the only term without the variable r attached to it is - 19
then the constant term is - 19
Ms. Son bought 5 cans of green beans and her total bill was $10.80. What was the price
per can
I
Answers
Answer:
5+10.80=15.8
Step-by-step explanation:
Tickets for a carnival cost $8 for children and $12 for adults. The carnival sold a total of 233 tickets and collected $2,156. How many children’s tickets were sold?
A.
180
B.
160
C.
73
D.
108
Answers
prove [(1+sinθ)/(1-sinθ)] - [(1-sinθ)/(1+sinθ)] =4tanθsecθ
Answers
Answer:
i do not know what the question is
Step-by-step explanation:
1/15 results in a repeating decimal.
Answers
Answer:
below
Step-by-step explanation:
1/15 = 1 divided by 15 = .06 (underlined part repeats)
Find the common ratio for the following sequence.1/2, -1/4, 1/8, -1/16, ...A. 1/2B. -2C. -1/2D. 2There is a picture too if you need it.
Answers
Consider the given series,
\(\frac{1}{2},\frac{-1}{4},\frac{1}{8},\frac{-1}{16},\ldots\)Observe that the given series is a geometric progression, since the ratio is constant throughout,
\(r=\frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_4}{a_3}\)Solve for the common ratio as,
\(r=\frac{a_2}{a_1}=\frac{\frac{-1}{4}}{\frac{1}{2}}=\frac{-1}{4}\times\frac{2}{1}=\frac{-1}{2}\)Thus, the common ratio of the series is -1/2.
please help me
is importe
Answers
Answer:
The answer is B
Step-by-step explanation:
1/6 * 4=2/3
2/3 * 2= 1 1/3
I’m timed please help
The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take
O 4 1/8
O 4 3/8
O 5 5/7
O 5 7/8
Answers
Identify the solution to the system of equations
4x-y=7
-12x+3y=-21
Answers
Answer:
Step-by-step explanation:
The equations are not independent. They represent the same graph.
There are an infinite number of solutions.
The volume of the pyramid is 8in3. What is the height of the pyramid? (Sides are 5in and 4in)
Answers
Answer:
h = 0.4 inches
Step-by-step explanation:
Given that,
The volume of the pyramid is 8 in³.
The sides of the pyramid are 5 in and 4 in.
We need to find the height of the pyramid.
The formula for the volume of pyramid is given by :
V = lbh
Where h is the height of the pyramid
So,
\(h=\dfrac{V}{lb}\\\\h=\dfrac{8}{5\times 4}\\\\h=0.4\ in\)
So, the height of the pyramid is 0.4 inches.
A loan of $20,000 is made at 5.75% interest, compounded annually. After how many years will the amount due reach
$31,000 or more? (Use the calculator provided if necessary.)
Write the smallest possible whole number answer.
Answers
Answer:
8 years ($31,280.45)
Step-by-step explanation:
What could allow members of a population of insects to survive being sprayed with pesticide
Answers
Penetration resistance is referred to the reason why population of insects might survive being sprayed with pesticide.
What is a Pesticide?These are substances usually in the form of chemical which are used to control pests such as insects, rodents etc and examples of such include the following below:
InsecticideRodenticide etcSome insects such as bees have a very thick outer cuticle which slows down the absorption of the chemicals into their bodies and prevents a high amount from entering into them.
This thereby makes it possible for them to survive being spayed and is the most appropriate choice.
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The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Angle question.......
Answers
Answer:
68°
Step-by-step explanation:
since it is on a straight line, they both equal 180 degrees.
and you have the degree of angle 1
112
so you just need to subtract 112 from 180
180 - 112 = 68
What is the constant up a proportionally in a equation y=x/g
Answers
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
Misha is thinking of a negative integer greater that -4. What number could she be thinking of?
Answers
the distance on a ruler between 8cm and 26cm =
Answers
Answer:
18 cm
Step-by-step explanation:
To find the distance, take the larger number and subtract the smaller number
26 cm - 8 cm
18 cm
Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 increase in price. What ticket price would give the greatest income?
Answers
Answer:
$12
Step-by-step explanation:
If we stuck with the price of $8, then we end with an income of $2400
Increasing it by $1 will decrease attendance by 20
8 x 300 = 2400
9 x 280 = 2520
10 x 260 = 2600
11 x 240 = 2640
12 x 220 = 2640
13 x 200 = 2600
We're starting to go down, so let's stop there
The ticket price of $11 or $12 appears to give the most income
I would stick with $12 since your still getting more money from one ticket
The price of a ticket stick at $12 since you still get more money from one ticket.
What ticket price would give the greatest income?Last year 300 people attended a play with a ticket price of $8.
The school estimates that 20 fewer people attend for each $1 increase in price.
If we keep the price at $8, we'll end up with a $2400 profit.
Increasing it by $1 will result in a 20 percent drop in attendance.
8 × 300 = 2400
9 × 280 = 2520
10 × 260 = 2600
11 × 240 = 2640
12 × 220 = 2640
13 x 200 = 2600
Let's come to a halt here since we're starting to descend.
The $11 or $12 ticket price looks to generate the most revenue.
I'd continue with $12 because you'll still make more money with one ticket.
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What is the minimum Brianna can lost the house to accommodate both of these requirements, round the the nearest hundred dollars
Answers
We are given that Brianna needs to receive $199300 and that she also needs to allow for a 3 percent commission. Let "x" be the amount Brianna needs to sell her house. We need to subtract from this amount the 3% commission. To do that we will use the following relationship:
\(x-\frac{3}{100}x=199300\)Now, we solve for "x" first by adding the fractions using the following model:
\(a+\frac{b}{c}=\frac{ac+b}{c}\)Therefore, we will multiply the 100 from the denominator by "x" and subtract 3 from the result, like this:
\(\frac{100x-3x}{100}=199300\)Solving the operations we get:
\(\frac{97x}{100}=199300\)Now we multiply both sides by 100:
\(97x=19930000\)Now we divide both sides by 97:
\(x=\frac{19930000}{97}=205463.92\)Therefore, the amount is $205463.92. Since we are told to round to the nearest hundred dollars we round the answer to $205500.
Please Help answer has much as you can
Answers
Answer:
24 is the answer ok 21/7
is 3 and multiply it with 8 that is 24
2]
q = -3
determine the median and the first and third quartiles in the following data. 46 47 49 49 51 53 54 54 55 55 59
Answers
The median of this data set is 53, the first quartile is 49, and the third quartile is 55.
To calculate the median, we first need to arrange the data in order from least to greatest: 46, 47, 49, 49, 51, 53, 54, 54, 55, 55, 59. Median is the middle value of the data set, which is 53.
To calculate the first quartile, we need to find the median of the lower half of the data set. We divide the data set into two equal halves, the lower half being 46, 47, 49, and 49. The median of the lower half is 48. The first quartile is the median of the lower half, which is 49.
To calculate the third quartile, we need to find the median of the upper half of the data set. We divide the data set into two equal halves, the upper half being 51, 53, 54, 54, 55, 55, and 59. The median of the upper half is 55. The third quartile is the median of the upper half, which is 55.
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A plumber charges 14 of the cost of materials as a labor fee. If the materials for the current job cost $130.00, how much will the plumber charge the client?
Answers
Answer:
the answer is 162.5
Step-by-step explanation:
The amount that the plumber will charge the client is $32.5
From the question, we are told that a plumber charges 1/4 of the cost of materials as a labor fee.
Given the following
Cost of material = $130
Amount charge per client = 1/4 of cost of material
Amount charge per client = 1/4 * 130
Amount charge per client = 130/4 = $32.5
Hence the amount that the plumber will charge the client is $32.5
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