Answer:
One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.
A flight from Boston to London only took 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
If the flight back to Boston against the same wind took 6 hours. The speed of the wind if the speed of the plane in still air is 550 mph is 50 mph.
How to find the speed of the plane?Given data:
Boston to London = 5 hours
Flight back to Boston = 6 hours
Still air = 550 mph
Using this formula
Speed (s) = Distance /Time
We need to formula an equation that will be used to find the speed
Equation: (550 + s)5 = (550 - s)6
So,
Let s represent the speed
(550 + s)5 = (550 - s)6
2750 +5s = 3300 - 6s
Collect like terms
6s +5s = 3300 - 2750
11s = 3300 - 2750
11s = 550
Divide both side by 11s
s= 550/11
s = 50mph
Therefore the speed of the plane is 50mph.
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Keiko measures the circumference of three fruits.
Complete the table to show Keiko's measurements, the actual measurements, the
difference between the measurement and the actual, and the percent error.
CLEAR
CHECK
6 cm
81 cm
10%
50%
20%
10 cm
Apple
Grapefruit
Watermelon
15 cm
24 cm
Keiko's measurement
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
30 cm
Actual measurement
90 cm
5 cm
Absolute difference
DRAG AND DROP
AN ITEM HERE
9 cm
Percent error
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
no
The absolute measurement specifies the magnitude of the difference
which may be positive or negative.
The completed table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Reasons:
The formulas for the inputs in the table are;
Absolute difference = Keiko's measurement - Actual measurement
The difference between Keiko's measurement and the actual measurement can be positive or negative while the absolute difference is always positive
[tex]\displaystyle Percent \ error = \mathbf{\frac{Keiko's \ measurement - Actual \ measurement}{Actual \ measurement} \times 100}[/tex]
Therefore;
[tex]\displaystyle Percent \ error = \frac{ \mathbf{Absolute \ difference}}{Actual \ measurement} \times 100[/tex]
Which gives for Apple;
The actual measurement for Apple = 15 cm - 5 cm = 10 cm
[tex]\displaystyle Percent \ error \ for \ Apple = \frac{5 \, cm}{10 \, cm} \times 100 = \mathbf{50\%}[/tex]
Grapefruit column of the table;
Absolute difference for Grapefruit = |24 cm - 30 cm| = |-6 cm| = 6 cm
The absolute difference for Grapefruit = 6 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit = \mathbf{\frac{6 \, cm}{30 \, cm} \times 100} = 20\%[/tex]
Percent error for Grapefruit = 20%
Watermelon column of the table;
Keiko's measurement = Absolute difference + Actual measurement
Using the given options, we have, 90 - 9 = 81
Therefore, the difference = -9, while the absolute difference = 9
Keiko's measurement for Watermelon = 90 cm - 9 cm = 81 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit= \frac{9 \, cm}{90 \, cm} \times 100 = 10\%[/tex]
The completed table is as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
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please help, this is due today:
Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
I need help :( I forgot how to do this
Answer:
[tex]A=\frac{1}{2}h(b_{1}+b_{2} ) | *2\\2A=h(b_{1}+b_{2} ) | : (b_{1}+b_{2} )\\\frac{2A}{(b_{1}+b_{2} )} = h[/tex]
I hope it's good.
Take care !
If answered correct you will be MARKED BRAINLIEST
Answer:
a^18
Step-by-step explanation:
(a^2 x a^2 x a^2)^3
first, calculate the product inside the parentheses
(a^6)^3
simplify the expression
a^18
Given that XY is a line segment with the angle a = 51°, work out the value of
the angle marked b.
Y
b
a
X
The diagram is not drawn to scale.
ASP PLZ
Answer:
129º
Step-by-step explanation:
This is just a guess since you didn't include the diagram
b is supplemetary to a
therefor
b = 180 - a
b = 180 - 51
b = 129º
how many morerock cds than classical cds were sold
3.(08.01 MC)
Find the length of the base of a square pyramid If the volume is 48 cubic inches and has a height of 9 inches.
O 4 inches
O 8 inches
O 16 inches
0
24 inches
Answer:
4 inches
Step-by-step explanation:
The formula is L=√((3×V)/h)
how to solve x-3=2-3x
Answer:
x = 5/4
Step-by-step explanation:
x-3=2-3x
Add 3x to each side
x+3x-3=2-3x+3x
4x-3 = 2
Add 3 to each side
4x-3+3 = 2+3
4x =5
Divide each side by 4
4x/4 = 5/4
x = 5/4
Answer:
5/4
Step-by-step explanation:
[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]
Combine all like terms by moving them to their respective sides, then simplify as best you can.
what is 7a-7b when a-b=5
Answer:
35
Step-by-step explanation:
7a -7b
Let a-b = 5
Factor
7(a-b)
7(5)
35
Answer:
a=5+7b/7
Step-by-step explanation:
7a-7b
a-b=5
7a-7b=5
7a-7b+7b=5+7b
7a-0=5+7b
7a=5+7b
7a=5+7b/7
a=5+7b/7
How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade
Answer:
You can expand this with this rule:
[tex]a(b+c)=ab+ac[/tex]
Similarly,
[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]
[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]
-9+(-14)=??
please help!
Answer:
-23
Step-by-step explanation:
Mario is a garbage collector in Mabuhay Homes 2000. He can collect garbages in 80 houses in just 5 working days. In 8 days straight work, he reached 140 houses.
Find the changes of Mario's work, in working straightly?
What was the total number of houses he collected in 12 days if he worked straight?
What will be total number of houses he can collect in 20 days if he will work straight continually?
Keith spent $8 on tomatoes. How many did he get?
Answer:
its got 6
Step-by-step explanation:
I REALLY DONT KNOW
Answer:
Step-by-step explanation:
Let t be the unit cost of the tomatoes: e. g., t = $1.25/lb.
If Keith spent $8 on tomatoes, the number he bought would then be
$8
------------- = 6.4 lb of tomatoes
$1.25/lb
Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.
The general formula would be
$8
------------ and the end result would be the number of pounds Keith could
$t / lb buy for $8.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Answer:
parami es el A por q no seria basico las demas la B C y D noloson
Which expression below is equivalent?
A. 7x+x+8=16x
B. x+x+1+1=2x+2
C. 5(x+3)=5x+5
D. 9x−18=9(x+2)
Lets look at each one:
A. 7x+x+8=16x
This left side will be 8x + 8, so its wrong.
B. x+x+1+1=2x+2
This left side will be 2x + 2, it is right!
C. 5(x+3)=5x+5
This left side will be 5x+15, so its wrong.
D. 9x−18=9(x+2)
This left side will be 9(x-2), so its wrong.
Our answer is going to be B) x+x+1+1=2x+2
x + x = 2x
1 + 1 = 2
2x + 2
I hope this helps! :)
Can someone help me solve This. Use photo as context. In exponential growth functions , the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the exponent change if the base of the exponent were between 0 and 1?
Answer:
If the exponent was 1, the function would remain constant but if the function was between 0-1 it would decrease towards the x-axis.
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 11 – 15?
A: 4, B: 3, C: 5, D: 6
3
5
6
Answer:
4
Step-by-step explanation:
DeMarcus is organizing a group of friends to attend a concert.
The ticket pricing is shown in the table below. Use the information
to create a graph and answer the questions.
Miu
# OF TICKETS
2
3
5
7
TOTAL COST ($)
32
48
80
112
16
9
14
126
IDS
84
63
42
1. Rate of Change:
Equation:
2. What does the ordered pair (1, 16) represent in this situation?
212
1234
078410
3. Describe how you know that this is a proportional relationship:
Answer:
Give me some hint please
The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
The table of tickets and their cost is given,
The graph of it has been plotted below,
The rate of change or slope = (48 - 32)/(3 - 2) = 16
The equation is y = mx + c where m is the slope and it is 16
So, y = 16x + c
Now substitute (2,32)
32 = 2(16) + c
c = 0
So the equation becomes y = 16x
Since y = kx is a direct proportional equation so it will be also direct proportionally.
In (1,6) , 1 = number of ticket , 16 = cost of ticket so it is $16.
Hence "The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion".
For more about the equation,
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IM GIVING OUT BRIANLIEST
Answer:
3.78
Step-by-step explanation:
what is the answer? HELP MEEE
Answer: 126
Step-by-step explanation:
11+5=16
Step-by-step explanation:
square root of 121 is 11 and cube root of 125 is 5 i.e
11^2=121 and 5^3=125
covert 104% into a decimal
Answer:
104 divided by a 100
1.04
Step-by-step explanation:
it is the same as moving the decimal two places to the left
PLEASSSSSSE HELP, WILL GIVE BRAINLIEST
How many chromosomes would a diploid offspring have when the haploid sex cells contain 46 chromosomes?
23
46
58
92
Answer:
I think its 46 since the 2 speices need the same amount of chromosomes to make an offspring
Step-by-step explanation:
Find an irrational number between 6 and 28
Answer:
Step-by-step explanation:
All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.
Answer:
√101 (square root of 101)
Step-by-step explanation:
Irrational numbers are numbers that can't be written as fractions.
The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.
A digital music service sells 12 songs for $9. 96. At this rate, how many songs can you purchase for $4. 15?.
Graph the following
1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1
Answer:
Step-by-step explanation:
Use DESMOS. See attached.
Consider the following incomplete deposit ticket: A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents. How much cash did Liz receive? Please select the best answer from the choices provided $458. 57 $670. 71 $323. 54 $1,805. 32.
Answer:
323
Step-by-step explanation:
Answer:
its $458.57 on edg
Step-by-step explanation:
Enter an algebraic expression for the word expression. The quotient of -1 and y
Answer:
Step-by-step explanation:
-1/y
The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price
HELP ORGENT
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?
a. Write an inequality that demonstrates this situation
b. solve your inequality
c. Explain what your answer means to Tyrone
Answer:
it should be a.
Step-by-step explanation: