Hi! I'm happy to help!
To solve this, we first need to look at the perimeter equation:
P=2L+2W
We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:
56=2x+(2(x-2))
Let's simplify what the width is by multiplying:
56=2x+2x-4
Now, let's combine our 2xs
56=4x-4
Now, we just need to solve for x in order to find our length and width.
First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:
56=4x-4
+4 +4
60=4x
Now, all we have to do is divide both sides by 4 and x will be fully isolated:
60=4x
÷4 ÷4
15=x
Now that we know x, let's plug this into our previous equations:
L=x=15
<u>L=15</u>
W=x-2=15-2=13
<u>W=13</u>
To verify our answers, we can plug this into our perimeter equation:
56=2(15)+2(13)
56=30+36
56=56
After double checking our answers, we know that our length is 15 and our width is 13.
I hope this was helpful, keep learning! :D
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:
</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°
In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)
Answer:
Step-by-step explanation:
Answer: d = 29 miles
Step-by-step explanation:
S11°W = 259° on a unit circle
N75°E = 15° on a unit circle
x separation after two hours
x = 2(8cos15 - 18cos259) = 21.179 miles
y separation after two hours
x = 2(8sin15 - 18sin259) = 19.7398 miles
total distance between them is
d = √(19.7398² + 21.179²) = 28.9518... ≈ 29 miles
Answer:
The number missing on the number line is<em> </em><em>(7)!</em>
There should be <em>(2)</em> dots above the number 4.
There should be <em>(4)</em> dots above the number 6.
A good title for the dot plot is;
(<em>Age you lost your first tooth!!!)</em>
<em></em>
-- <u>I hope this helped!!Could i get brainliest if i'm correct please?--</u>
