Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
A.
48.3 cm
B.
54.6 cm
C.
60.0 cm
D.
173.2 cm
Answers
54.6 cm
Step-by-step explanation:Hi there !
T30° => AD = AC/2 = 20cm/2 = 10 cm
T.Phytagoras
CD = √AC² - AD²
= √20² - 10²
= √400-100
= √300
= 10√3
= 10×1.73
= 17.3 cm
P = 2AD + 2CD
= 2×10cm + 2×17.3cm
= 20cm + 34.6cm
= 54.6 cm
Good luck !
Related Questions
A well is 20ft deep. A snail at the bottom of the well climbs upto 4ft each day and slips back 2ft every night.how many days the snail to reach the too
Answers
Answer:
10 days
Step-by-step explanation:
4ft-2ft= so the snail moves 2ft every 24hrs
20ft÷2ft= takes the snail 10 days
Answer:
Defining Variables:
Let the number of days the snail takes to climb = x days
Total distance climbed in x days = x*4
Total distance slipped in x days = 2*x
Solving for the number of days:
Since the total distance the snail climbs is 20ft (depth of well)
The total distance climbed - total distance slipped = 20
replacing the variables
4x - 2x = 20
2x = 20
x = 10
Therefore, it will take the snail 10 days to reach the top
According to one source, the average cumulated college student loan debt for a graduating senior is $29,400. Assume that such debt is normally distributed and that the standard deviation is $5,684. Thirty percent of these graduating seniors owe more than what amount?
Answers
Answer:
$32378.416
Step-by-step explanation:
We are asked to find: Thirty percent of these graduating seniors owe more than what amount.
More than 30% = Finding the z score of the 70% percentile.
The z score = 0.524
Hence, using z score formula:
z = (x-μ)/σ
0.524 = x - $29,400/$5,684
0.524 × 5684 = x - 29400
2978.416 = x - 29400
x = 29400 + 2978.416
x = $32378.416
Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.
Juan and Adam both need pens and
batteries. The equation that represents
Juan's purchases is y - 27 - 3x. The
equation that represents Adam's purchases
is y = 17 – x. If y represents the price of the
batteries, and x represents the price of the
pens, what are the prices of the pens and
batteries?
a) pens: $10 batteries: $7
b) pens: $5 batteries: $12
o pens: $7 batteries: $20
d) pens: $12 batteries: $20
e) pens: $5 batteries: $10
go to station 4
go to station 3
go to station 7
go to station 9
go to station 2
Answers
Answer:
a
Step-by-step explanation:
Is it true that a number is divisible by 18 if the sum of all of its digits is divisible by 18?
Answers
Select the sets that are not functions.
O E = ((6. 2). (7. 3). (6, -1). (5. 4)]
O A = {(1, 2), (2, 3), (3, 4). (4. 5)}
O C = [(-1, 3), (0.3), (1, 3), (2, 3)}
OB = {(1, 2), (2, 1), (3, 0), (4, -1)]
OD = {(1, 1), (1, 2), (1, 3), (1. 4)}
Answers
Marissa spent $56 at the flea market. She spent 1/4 of her money for
lunch. How much did Marissa spend on lunch?
Answers
Answer:
she spent $14
Step-by-step explanation:
1/4=0.25
0.25 x 56= 14
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answers
Answer:
This should help.
Step-by-step explanation:
7) You want to cut a rectangular poster with an area of at least 60 square inches. The
length is 7.5 inches. What is the minimum width of the poster (keep in mind the area of
a rectangle is L x W = A
Length x Width = Area). Write inequality and solve for Width
(W).
8) The total cost of 3 apples and 4 oranges is $5.45. The cost of the oranges is $0.75
each. Write the equation and solve for A (cost of one apple).
Answers
Answer:
the answer for 7 is 8 because 7.5x8 = 60
Step-by-step explanation:
the answer for 8 is 0.81 is the cost of 3 appels because 2.45÷3=0.82
An eagle is flying around and its velocity vvvv as a function of time tttt is given in the graph below where rightwards is the positive velocity direction.
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
What is the eagle's displacement Δx\Delta xΔxdelta, x from t=1.0 st=1.0\,\text st=1.0st, equals, 1, point, 0, start text, s, end text to 4.0 s4.0\,\text s4.0s4, point, 0, start text, s, end text?
Answers
9514 1404 393
Answer:
8 units
Step-by-step explanation:
Displacement is the area under the velocity curve. The area of interest is in the shape of a trapezoid, so we can use the formula ...
A = (1/2)(b1 +b2)h
to find the area.
Here, b1=3, b2=1, h=4, so the area is ...
A = (1/2)(3 +1)(4) = 8
The displacement is 8 units in the time from t=1 to t=4.
South America's greatest river system is the ___________.
Mississippi-Missouri
Nile
Amazon
Rhine
Answers
Answer:
amazon
Step-by-step explanation:
its the biggest
Help my daughter please k gtg
Answers
Answer:
5.7, 4.6, 5.6, 6.7
Step-by-step explanation:
Answer:
2.63+3.07= 5.7
9.4-4.8= 4.6
3.92+1.68= 5.6
8.5-1.8= 6.7
what is the slope of the line that contains these points? please help
Answers
Answer:
Plug in to find out
Step-by-step explanation:
Pick 2 complementary sets of coordinates
For this Q i am picking (36,8) & (31,10)
[tex]m=\frac{y2-y1}{x2-x1}[/tex] <-- this is the slope formula
Plug in the values and divide.
Answer:
Step-by-step explanation:
(8-10)/(36-31)= -2/5 is the slope
Gerrit Cole’s salary pitching for the Yankees in 2020 is $36,000,000. Cole averages about 2,000 pitches each year. About how much money does Gerrit Cole make per pitch
Answers
36000000 x 2000 = 72000000000
simplify 7^6 x 7^5
Please help meh
Answers
Answer:
134456
Step-by-step explanation:
[tex]7^{6}[/tex] = 7 · 7 · 7 · 7 · 7 · 7
Therefore, [tex]7^{6}[/tex] = 117,649
[tex]7^{5}[/tex] = 7 · 7 · 7 · 7 · 7
Therefore, [tex]7^{5}[/tex] = 16,807
So, [tex]7^{6}[/tex] + [tex]7^{5}[/tex] = 134456
Answer:1977326743
7^11
Step-by-step: (7^6)(7^5)=7^6×7^5=(7×7×7×7×7×7)×(7×7×7×7×7)=7×7×7×7×7×7×7×7×7×7×7=7^11
What is the value of the expression below.
||3-7| - |-6+3||
Answers
Answer:
1
Step-by-step explanation:
[tex]||3-7| - |-6+3||[/tex]
||-4|- |-3||
|4-3|
|1|
Write expression that represents the area of rectangle
5=width 4=height
Answers
A bind is flying north with a mass of 2.5 kg has a momentum of 17.5 kg m/s. At what velocity
is it flying?
(P=m*v) P=momentum, m=mass, and v=Velocity,
Answers
Answer:
6 m/s
Step-by-step explanation:
Plug in the mass and momentum into the equation, and solve for v:
p = mv
17.5 = 2.5(v)
7 = v
So, the velocity is 6 m/s
The list price of a toolbox is $127.35. The chain discount is 10/5. What is the final net price?
Answers
Answer:
[tex]125.35[/tex]
Step-by-step explanation:
[tex]The \: final \: net \: price \:is \: 127.35 - \frac{10}{5} =\\ 127.35 - 2 = 125.35[/tex]
A parachutist descends 30 feet in 2 seconds.Express the rate of the parachutist’s change in height as a unit rate
Answers
Answer:
15
Step-by-step explanation:
30/2= 15 feet per second
2/3 Divided by blank= 6/8
Answers
Answer:
2
Step-by-step explanation:
hope it's correct
Bob goes on a hike and walks at a pace of 2 1/2 miles per hour. Which rates are equivalent to 2 1/2 miles per hour? Select ALL that apply.
Answers
Answer:
Step-by-step explanation: !!DISCLAIMER IM NOT ALWAYS THE SMARTEST BUT IM PRETTY SURE THIS IS RIGHT!
!well what I did. You know that 60 minutes=one hour. So I put 2 & 1/2 over 60.
Make 2 & 1/2 a improper fraction=5/2.
So 5/2 over 60
Then divide. 5/2 divided by 60 ( which is 60/1)
Then leave change flip, meaning leave the 5/2 change the division sign to multiplication, and flip, which you would flip 60/1 to 1/60
So we have 5/2 times 1/60. Multiply across. 5 times 1= 5. 2 times 60=120
So we have 5/120
Now we simplify 120 divided by 5 = 24. And 5 divided by 5 = 1
So 1/24
That’s all I know.. I know it didn’t have the answers but I hoped it help a bit
How do you do this question?
Answers
Answer:
(-11 + √165) / 22
Step-by-step explanation:
∑₂°° (1 + c)⁻ⁿ
= ∑₂°° (1 / (1 + c))ⁿ
= ∑₁°° (1 / (1 + c))ⁿ⁺¹
This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
Therefore:
11 = 1/(1+c)² / (1 − 1/(1+c))
11 = 1 / ((1+c)² − (1+c))
11 ((1+c)² − (1+c)) = 1
11 (1 + 2c + c² − 1 − c) = 1
11 (c + c²) = 1
11c² + 11c − 1 = 0
c = [ -11 ± √(11² − 4(11)(-1)) ] / 22
c = (-11 ± √165) / 22
c cannot be between -2 and 0, so c = (-11 + √165) / 22.
Damien left his house at time Zero and drove to the store, which is 12 blocks away, at a speed of 6 blocks per minute. then he stopped and went into the store for 5 minutes. from there, he drove in the same direction at speed of 2 blocks per minute until he got to the bank, which is 12 blocks away from the store. he stopped at the bank for 2 minutes. then he drove home at a speed of 6 blocks every minute. make a graph of showing the number of blocks away from home that Damien is x minutes after he leaves his house, until he gets back home.
Answers
Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20
John increased the amount of water he drinks every day from 20 fluid ounces to 48
fluid Ounces. By what percentages did John increases the water he drinks?
Answers
Answer:
89
Step-by-step explanation:
i need help too
Find all solutions in the interval [0, 2π).
4 sin^2 x - 4 sin x + 1 = 0
Answers
Answer:
[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]
Show the solution in each linear inequality in system of linear inequalities by graphing y>-7/2x+3
Answers
Answer: When you graph it, put a dot on 3, and then count down 7 spaces, and 2 spaces to the right, put a dot there. Use a straight edge to draw a line through the two dots, that continues on the graph. You can continue to got down 7, over 2 if needed.
Step-by-step explanation:
Add and subtract the rational expressions.
Which statements are true about the process for adding and subtracting the rational expressions? Check all that apply. The expression is not defined when t = 0. The first step is to use the order of operations and simplify the expression inside the parentheses. The denominator will be simplified to 15t. The numerator will be simplified to 13t 8. The numerator will be simplified to 13t 2
Answers
Answer:
The numerator will simplified to 13t-2
Step-by-step explanation:
After you write the numerators with the common denominator, you collect like terms and then calculate.
Answer:
A , B , E
Step-by-step explanation:
Correct on edge 2021. Just did the assignment.
Have a good day <3
will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?
A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)
Answers
Answer:
A is your correct answer
Step-by-step explanation:
Expand -3.5(2-3n): -7+10.5n
=-7+10.5n-2.5n
Add similar elemnts: 10.5n-2.5n=8n
=-7-8n
A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answers
Answer:
The value is [tex]p-value = 0.22663[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is [tex]H_o : p = 0.08[/tex]
The alternative hypothesis is [tex]H_a : p > 0.08[/tex]
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z)[/tex]
=> [tex]p-value = P(Z > 0.75)[/tex]
From the z-table
[tex]P(Z > 0.75) = 0.22663[/tex]
So
[tex]p-value = 0.22663[/tex]
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
The entrepreneurship club is ordering potted plants for
all 36 of its sponsors. One store charges $8.50 for each
plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost
of ordering potted plants at a second store.
What does the x represent in this situation?
The cost for each potted plant at the second store
The delivery fee at the second store
The total cost of ordering potted plants at the second store
The number of sponsors of the entrepreneurship club
Yes
Answers
Answer:
The delivery fee at the second store
Step-by-step explanation:
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Given,
The entrepreneurship club is ordering potted plants for all 36 of its sponsors.
One store charges $8.50 for each plant plus a delivery fee of $20.
The equation 320 = x + 7.50(36) represents the cost of ordering potted
plants at a second store.
We need to find:
- what does the x represents
- the cost for each potted plant at the second store
- the delivery fee at the second store
- the total cost of ordering potted plants at the second store
- the number of sponsors of the entrepreneurship club
How do we represent a total cost with different charges and a number of items?If the number of items = M
Cost of each item = $N
Charges = P
Then the total cost can be represented by:
= M x $N + P
The charges are separated since it's an individual charges.
The exclusive total cost for the items is:
= Number of items x Cost of each item.
We have,
Number of sponsors = 36
One store:
Cost of each plant = $8.50
Delivery fee = $20
Second store:
320 = x + 7.50(36)
This equation represents the cost of ordering plotted plants from the second store.
Here,
x = delivery charges
Cost of each plotted plant = $7.50
The delivery fee at the second store:
320 = x + 7.50(36)
320 = x + 270
x = 320 - 270
x = $50
The total cost of ordering potted plants at the second store:
= 7.50 x 36
= $270
The number of sponsors of the entrepreneurship club:
= 36
Thus,
The x represents the delivery charge.
The cost for each potted plant at the second store is $7.50.
The delivery fee at the second store is $50.
The total cost of ordering potted plants at the second store is $270.
The number of sponsors of the entrepreneurship club is 36.
Learn more about what the given expression represents here:
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