The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :
L² = x² + y²
x and y are the legs.
The solution is
dy/dt = 48.9 ft/s
We know that in a right triangle:
L² = x² + y² (1)
If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).
According to that, if we get derivatives with respect to time on both sides of equation (1) we get:
2×L× dL/dt = 0 + 2×y×dy/dt (2)
And
L = √ ( 58)² + ( 113)² = √12769 + 3364 = 127.02 ft
L = 127.02 ft when y = 113 ft
Now in equation (2) we know:
y = 113 ft dy/dt = 55 ft/s L = 127.02 we look for dL/dt
Then by substitution
2×127.02 × dL/dt = 2×113×55
254.04× dL/dt = 12430
dL/dt = 48.92
dL/dt = 48.9 ft/s
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Find the slope from this equation
y=3x + 9
Show me how please
Answer: 3
Step-by-step explanation:
The slope is given by the coefficient of x, in an equation of the form y=mx+c.
Here, the slope, m = 3
Can anyone help me find the value of x.
I need the method too..
Please.
Hello NiX010101!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Solve : [tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x\\[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac{ 3x-2 }{ 4 } - \frac{ 2x+3 }{ 3 } = \frac{ 2 }{ 3 } -x \\ [/tex]
Multiply both the sides by the LCM of 4, 3 which is 12. After some simplification you'll get it as ..
[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x [/tex]
Now, use the distributive property to open the brackets.
[tex]3\left(3x-2\right)-4\left(2x+3\right)=8-12x \\ 9x - 6 - 8x - 12 = 8 - 12x[/tex]
Now, bring the like terms together & simplify it.
[tex]9x - 6 - 8x - 12 = 8 - 12x \\ 9x - 8x - 6 - 12 = 8 - 12x \\ x - 18 = 8 - 12x \\ x + 12x = 8 + 18 \\ 13x = 26 \\ x = \frac{26}{13} \\ \large \boxed{\boxed{ \bf x = 2}}[/tex]
We got the value of x as 2.
__________________
Hope it'll help you!
ℓu¢αzz ッ
should i do my teast for 12th grade calculus
Answer:
hope my answer helps you
Step-by-step explanation:
Yes that is definitely possible. You will have to either double up on geometry and algebra II or algebra II and pre-calculus. At my high school, there were multiple people that did the latter. I also knew someone that doubled up on pre-calculus and calculus I, but I don't recommend that.
Which expression uses the greatest common factor to rewrite 18+6
Answer:
18+6=24
Step-by-step explanation:
Please someone help best answer gets brainleist
Answer:
B
Step-by-step explanation:
it will never cross so it's b
First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?
(Answer is ratio or proportion)
We want to find a proportional relationship between the number of pilots and aircraft, and use that to find the number of aircrafts for a given number of pilots.
We can expect to have 94 aircrafts if there are 250 pilots.
Let's see how to get that.
We start by defining what a proportional relationship is.
A proportional relationship between two variables x and y can be written as:
y = k*x
Where k is the constant of proportionality.
Here we do know that there are 40 pilots for every 15 aircrafts, then we can replace these values in the general proportional equation, where x will be the number of aircrafts and y the number of pilots.
40 = k*15
40/15 = k
Now we know the proportional relationship:
y = (40/15)*x
Now to find the number of aircrafts given that we have 250 pilots, we just need to replace the number of pilots by 250 and solve for x:
250 = (40/15)*x
250*(15/40) = x = 93.75
We can round this to the next whole number, 94.
So we can expect to have 94 aircrafts if there are 250 pilots.
If you want to learn more, you can read:
https://brainly.com/question/13114933
m^ 2 + m − 90 factorize
Answer:
(m+10)(m-9)
Step-by-step explanation:
To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.
Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)
Answer:
[tex](m-9)(m+10)[/tex]
Step-by-step explanation:
When you are given an expression in this format
[tex]ax^2+bx+c[/tex]
You must find two numbers that add up to b while the product is c.
You do trial and error to figure it out for your equation.
[tex]m^2+m-90[/tex]
Hmm... what two numbers add up to 1 and multiplied together equal -90.
Start off with pairs that can equal 90.
45 2
18 5
9 10
Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!
18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.
9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!
Now use the two numbers and put it in factored form.
[tex](m-9)(m+10)[/tex]
Help plz I need it it’s hard
Answer:
the awnser is 2
Step-by-step explanation:
5. Find the measure of the missing angle.
40°
50°
Step-by-step explanation:
40° + 90° + ? = 180°
130° + ? = 180°
? = 180° - 130°
? = 50°
Answer: 50 degrees
Step-by-step explanation: The interior angles add up to 180.
1. 40 + 90 + ? = 180
130 + ? = 180
-130 - 130
? = 50
Marcos tem 44 carrinhos em sua coleção e comprou mais 13. Com quantos carrinhos Marcos ficará?
Answer:
Marcos ficará com 57 carros.
Step-by-step explanation:
44+13=57
Aliás, 57 carros é muito carro!
Solve for m. 15 =9m Simplify your answer as much as possible.
Answer:
15 = 9m
15/9 = 9m/9
m =15/9
=5/3
=1.666667
Evaluate the expression.
5 - (-9)
Answer:
14
Step-by-step explanation:
5 - ( - 9 ) = 5 + 9 = 14
The double negative becomes positive.
-Chetan K
Answer:
14
Step-by-step explanation:
Because 5-(-9) equals 5-1(-9) and when you multiply two negatives you get a positive, to solve just add 5 and 9
Hope this helps!
What expression would give a sum of 16
What expression would give you a product of 16
Answer:
12+4 is the expression that will give you a sum of 16
4•4 is an expression that will give you a product of 16
remember an expression does not have an equal sign if it had an equal sign then it would be an equation and expression has no equal sign
Which graph shows a negative correlation?
10fy
9
8
7+
6
0 5.
4
3
2+
1 +
1
23
4 5 6 7 8 9
+
X
9
8+
7+
6+
5+
Mark this and retum
The scatterplot with negative correlation is (a)
How to determine the scatterplot with negative correlationFrom the question, we have the following parameters that can be used in our computation:
The images of the scatter plots
Describing the scatterplot a
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values decreases
This represents a negative association.
Hence, the correlation is negative
Read more about scatter plot at
brainly.com/question/16920148
#SPJ1
200 - 50 ÷ 2 x 5 + 20 - 30=with solutionno answerbad answer = repportneed now!
Answer:
95
Step-by-step explanation:
because of bodmas
200-125+20=95
Raquel estimated 304,900,000,000 as 3 × 10^8. What error did she make?
The error that was made by Raquel when expressing [tex]304,900,000,000[/tex]
is that she didn't count the digit correctly, The correct digit is [tex]3 *10^{11}[/tex]
Raquel was trying to express the figure in standard form but she doesn't count the number of digit very well and that was her mistakeStandard form helps to represent digits that are very long or short in simple form and fir conveniency sakeTherefore, the correct expression in standard form is [tex]3 * 10^{11}[/tex]
Learn more at: https://brainly.com/question/9761475?referrer=searchResults
HELP ASAP WORTH 50 POINTS!! WILL GIVE BRAINLIEST!
Bell is 5 more than 4 times older than John. Together their ages add to 70. How old is John?
John is 13
John is 15
John is 56
John is 2
Answer:
I think John is 13 is the answer buti'm not 100%㋛︎
Answer:
John is 13
Step-by-step explanation:
If john is 13 then 4 times that is 52 and bell is 5 more so 57 and 57 plus 13 = 70
qs and tv are parallel lines
Jody can swim one length of the pool in of a minute. How long will it take Jody to swim six lengths of the pool?
Answer:
Step-by-step explanation:
6 minutes...
What’s the perimeter of 4 1/2in and 8 1/2in
Answer:
26 in
Step-by-step explanation:
4.5 x 2 = 9
8.5 x 2 = 17
9 + 17 = 26
228 ÷ 2? Help PLEASE ITS MY HOMEWORK
Hello! Please help!!
Answer:
3 x 6 = 18
Step-by-step explanation:
think it's right. that jump from 6 to 3 might be cause of my downfall.
Answer:
18!
Step-by-step explanation:
Its going down by 1 number, 9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 48
3 x 6 = 18
What is the value of a in the algebraic expression (5a+3)=52
Answer:
a= 49/5 or 9.8
Step-by-step explanation:
Answer:
49 / 5 ( or ) 9.8
Step-by-step explanation:
( 5a + 3 ) = 52
5a + 3 = 52
5a = 52 - 3
5a = 49
a = 49 / 5
( or )
a = 9.8
Joans father is 38 years old today how many days old is he?
What is matter?
Anything that has mass and takes up space
Something that has volume and takes up space
Things that have energy and take up space
Things that take up space but don't have mass
calculate (2x10^5)(6x10^6)/3x10^4
Answer:
4e+15
Step-by-step explanation:
the guy above me is a troll pls report him to make brainly a better place thank you all i hope this answer helps
Please help me with this question
Answer:
B
Step-by-step explanation:
Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?
Please help me with this PLEASE
Answer:
The slope is 5/3
Step-by-step explanation:
-3 over to 0 is 3, so you get the run.
-2 up to 3 is 5, so you get the rise.
Slope is rise over run, which gives the answer of 5/3.
Good luck!
find the distance between (2,5) and (4,3)
Answer:
2.83
Step-by-step explanation:
use formula and replace x and y with the given values
