Through any three noncollinear points, there is exactly one plane containing them. Points W, X, and Y are noncollinear.
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When thinking of what determines a plane we can make the following comparison.
If a plane was the top part of a table, 3 legs, whose tops are points W, X and Y may hold it, as shown in the first picture.
but if the legs are in a line, as in the second figure, they may not hold the top part, so 3 collinear points cannot determine a plane.
Answer:
There is exactly one plane containing points W, X, and Y
Step-by-step explanation:
Related Questions
In the 1st generation, there are 4 monkeys on the island.....
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[tex]a_n = a_1 (r^{n-1})[/tex]
You are given initial value of 4.
a1 = 4
The rate of growth is it doubles every generation or multiplies by 2.
r = 2
Answer:
[tex]a_n = 4 (2^{n-1})[/tex]
Answer:
you're answer is letter D.
Step-by-step explanation:
√32 greater or less than 5.1
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Your answer will be greater because 5.6 is greater than 5.1.
What is the equilibrium price per DVD?
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Me Kirk drove 164 miles in the morning and 219 miles in the afternoon.esttimate the total number of smiles she drove?
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Then add 165+220 which is 385 approximately
The amount of interest earned by $6000 invested by a certain rate is $220 less than $13000 would earn at a 1% lower rate. At what rate is,the $6000 invested?
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so... hmm we're assuming here, it doesn't say there, but this is for 1 year period.
ok... so... let's use two quantities for such interest, say "a" is the Interest for the Principal of 6000, and let's use "b" is the Interest for the Principal of 13000.
[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$6000\\ r=rate\to r\%\to& \frac{r}{100}\\ t=years\to &1 \end{cases} \\\\\\ a=6000\left( \frac{r}{100} \right)1\implies \stackrel{\textit{P=6000}}{a=60r}\\\\ -------------------------------\\\\[/tex]
[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$13000\\ r=rate\to (r-1)\%\to &\frac{r-1}{100}\\ t=years\to &1 \end{cases} \\\\\\ b=13000\left( \frac{r-1}{100} \right)1\implies \stackrel{\textit{P=13000}}{b=130(r-1)}[/tex]
now, we know that, whatever the interest amount of "a" is, is 220 less than whatever "b" is.
we know what "b" is, b = 130(r-1), and 220 less than that is just b - 220, or 130(r-1) - 220.
[tex]\bf a=60r\qquad \boxed{a=130(r-1) - 220}\implies 130(r-1)-220=60r \\\\\\ 130r-130-220=60r\implies 70r=350\implies r=\cfrac{350}{70}\implies r=5[/tex]
between which two square roots can u find 3.14
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The square root of 16 is 4
Between those square roots lies 3.14
round 499,553 near thousand
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Good luck on your assignment
and enjoy your day
~[tex]MeIsKaitlyn :)[/tex]
If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds?
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Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen three. how many solutions are possible?
Answers
Answer:
21
Step-by-step explanation:
The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and she averages 80mph, how long will it take Mrs. Cunningham to overtake Mr. Cunningham?
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now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.
However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{Mr Cunningham}&d&40&t\\ \textit{Mrs Cunningham}&d&80&t-3 \end{array} \\\\\\ \begin{cases} \boxed{d}=40t\\ d=80(t-3)\\ ----------\\ \boxed{40t}=80(t-3) \end{cases} \\\\\\ \cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t \\\\\\ 6=t[/tex]
To have a batting averages over .500,how many hits in 45 times at bat would Rail and Karen need?
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"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"
Answers
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
We can call the starting point (0,0) in the coordinate system.
10 mi east - 10 miles to the right. then,5 mi north - 5 miles aboveSee the attached picture. The direct distance is labeled as x.
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
[tex]10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18[/tex]
Rounding to nearest tenth, we have 11.2 miles
We have that the distance is mathematically given as
AB=11.2miles
From the question we are told
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work.if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"DistanceGenerally the equation for the Pythagoras Theorem is mathematically given as
AB^2=AC^2+BC^2
Therefore
AB^2=10^2+5^2
AB=11.2miles
For more information on distance visit
https://brainly.com/question/989117
in order to lose 1 pounds one, must burn off 3500 calories. To burn off 100 calories you must bicycle at 9 mph for 15 minutes. How long do you have to bicycle at 9 mph to lose 7 ponds?
Answers
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours
Final answer:
The student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.
Explanation:
The subject of the question is Mathematics, and it relates to calculating the amount of exercise needed to achieve a certain weight loss goal. The student wants to know how long they must bicycle at 9 mph to lose 7 pounds.
First, we know that to lose 1 pound, one must burn off 3,500 calories. Since 15 minutes of bicycling at 9 mph burns 100 calories, we calculate the time required to burn 3,500 calories (for 1 pound) and then multiply by 7 for the 7 pounds.
To lose 1 pound:
3,500 (calories per pound) / 100 (calories per 15 minutes) = 35 (15 minute sessions to lose 1 pound).
35 sessions * 15 minutes = 525 minutes.
To lose 7 pounds:
525 minutes (to lose 1 pound) * 7 = 3,675 minutes.
3,675 minutes can be converted into hours by dividing by 60 minutes per hour:
3,675 minutes / 60 = 61.25 hours.
Therefore, the student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.
Angles θ and Φ are complementary, and θ = pi/12 Find the measure of Φ.
Answers
so
measure of Φ = π/2 - π/12
measure of Φ = 6π/12 - π/12
measure of Φ = 5π/12
answer
5π/12
Answer:
sum of complement angles = a right angle = π/2
so
measure of Φ = π/2 - π/12
measure of Φ = 5π/12 + π/12
measure of Φ = 6π/12
6π/12 = π/2
answer
π/2
How much of a 60% saline solution would you need to add to pure water to create 10 L of a 50% saline solution ?
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likewise, for the 10 Liters, if only 50% is salt, then is just (50/100) * 10 or 5.
now... let's check the water whilst we add "y" amount, the water has no salt at all, freshwater for that matter, so, salinity is 0%. or (0/100) * y or 0.
[tex]\bf \begin{array}{lccclll} &\stackrel{liters}{amount}&\stackrel{\textit{\% of salt}}{quantity}&\stackrel{\textit{total salt}}{quantity}\\ &------&------&------\\ \textit{60\% sol'n}&x&0.60&0.6x\\ \textit{pure water}&y&0.00&0y\\ ------&------&------&------\\ mixture&10&0.50&5 \end{array}[/tex]
[tex]\bf \begin{cases} x+y=10\\ 0.6x+0y=5 \end{cases} \\\\\\ 0.6x=5\implies x=\cfrac{5}{0.6}\implies x=\cfrac{25}{3}\implies x=8\frac{1}{3}[/tex]
Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of wsilutawsiluta be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.
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34/5 less than y is -51/10
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I'm not sure if you wanted me to solve this but I will anyways
y = -51/10 +34/5
y = -51/10 + 68/10
y = 17/10
Hope this helps!
Y - (34/5) + (34/5) =-(51/10) +(34/5),
Y= -(51/10) +(68/10) (found common denominator),
Y=(17/10)
Get confused with all the powers??? Answer??
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The rules with powers or exponents are:
If you multiply, you add them
If you divide, you subtract them
And if you multiply with brackets, you multiply the numbers.
Therefore this is what you get:
49[tex] d^{16} [/tex]
Hope This Helps You!
Good Luck :)
7 x 7 = 49
(d^8)² = d^64
d^64 + 49 is your answer
hope this helps
Find 10-3 Write the subtraction fact two ways?
Answers
Other ways to write it:
3 + 7 = 10.
7 + 3 = 10.
I hope this helps! :>
There are two ways to write the subtraction fact 10 - 3:
10 - 3 = 7
7 + 3 = 10
What are these two ways?The first way is to simply subtract the two numbers. The second way is to add the two numbers together to get the original number.
Both ways are correct and can be used in different situations. For example, if you are trying to figure out how many apples are left if you have 10 apples and you eat 3, you would use the first way to subtract the two numbers to get 7 apples.
If you are trying to figure out how many apples you need to buy to have 10 apples if you already have 3 apples, you would use the second way to add the two numbers together to get 7 apples.
Find out more on subtraction fact here: https://brainly.com/question/1726293
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What is 83.45 rounded to the nearest tenth?
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Tenth is the first number after the decimal.
So if the number after the tenth (the hundredths) is 0-4 the tenth doest change. If it's 5-9 you add one to the tenth.
Since it is a 5 you add one to the 4 making it 83.5 :)
Which number is equivalent to 35 %
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You mow your lawn in 5 hours and earn $45. What is your hourly wage?
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45/5 = 9
9 is the amount of money you earn per hour
so your answer is $9 per hour
hope this helps
Alex earns an allowance of $6 per week. He also received $35 as a birthday gift from his grandmother. How many weeks (w) will it take for Alex to save $110?
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6x[tex] \geq [/tex]75
x[tex] \geq [/tex]12.5
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
F = 16.1m
F =
F = 32.2m
F =
Answers
F = 32.2m
Explanation:
The equation that represents the force on an object due to gravity is
[tex]F=mg[/tex]
where
m is the mass of the object
g is the acceleration due to gravity
In this problem, the acceleration due to gravity is [tex]g=32.2 ft[/tex], so if we substitute this value into the previous equation, we obtain
[tex]F=m(32.2)=32.2 m[/tex]
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Constant of variation due to gravity = 32.2 feet per sec².
As we know that "The fore of gravity on an object varies with its mass".
So, According to statement,
[tex]F=mg\\\\\text{ here, m denotes object's mass and g denotes gravity }\\\\\text{ F denotes the force on an object due to gravity according to m}[/tex]
Substituting the value of g , we get,
[tex]F=32.2m[/tex]
Hence, Third option is correct.
Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for him, but it pays 8% annual interest. If there is $500 more in the account that pays 6%, and the total interest from both accounts is $100, how much money is in each of the accounts?
Answers
how much is 6% of a? well (6/100) * a, or 0.06a.
how much is 8% of b? well (8/100) * b, or 0.08b.
so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.
now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.
[tex]\bf \begin{cases} 0.06a+0.08b=100\\ \boxed{a}=b+500\\ ----------\\ 0.06\left( \boxed{b+500} \right)+0.08b=100 \end{cases} \\\\\\ 0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02} \\\\\\ b=3500[/tex]
how much was deposited in the 6% one? well, a = b + 500.
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
B: 5 + 2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
Just took it it's correct so leave a like
At
Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12
were selected and of the 40 boys who tried out, 16 were selected. Are the ratios of number of students on the
team to number of student trying out the same for both boys and girls? How do you know?
Answers
If 100 poster printing machines printed 10,000 art posters in 100 days, how many days will take one machine to print one poster?
Answers
that simply means, the 100 machines print 100 posters in 1 day then.
now, if 100 machines, in 1 day they print 100 posters, that means 1 machine alone, is printing, the obvious :).
One machine would take one day to print one poster, calculated by dividing the total posters by the number of machines and days.
If 100 poster printing machines printed 10,000 art posters in 100 days, we first need to find out how many posters a single machine can print in one day. This can be done by dividing the total number of posters by the number of machines and then by the number of days.
Step-by-step calculation:
Determine the total number of posters one machine can print in 100 days: 10,000 posters / 100 machines = 100 posters.
Next, determine the number of posters one machine can print in one day: 100 posters / 100 days = 1 poster.
Therefore, it would take one machine one day to print one poster.
How are the decimals .009 and .09 related?
Answers
Answer:
0.09 is ten times of 0.009
Step-by-step explanation:
The two decimals are 0.009 and 0.09
We can rewrite the decimals in the scientific notation.
0.009 = [tex]9\times 10^{-3}[/tex]
And 0.09 = [tex]9\times 10^{-2}[/tex]
Now we divide first decimal 0.09 by 0.009
[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]
=[tex]\frac{10^{-2}}{10^{-3}}[/tex]
= [tex]\frac{10^{3} }{10^{2} }=10[/tex]
Therefore, 0.09 is ten times of 0.009
please help
An arithmetic sequence has this recursive formula