Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180°
15x + 3 + 3x - 1 + 52 = 180
15x + 3x + 3 - 1 + 52= 180
Combine like terms.
18x + 54 = 180
To find the vlaue of x, we have to islolate x
<u>Step1:</u> Subtract 54 from both sides
18x = 180 - 54
18x = 126
<u>Step2:</u> Divide both sides by 18
x = 126/18
x = 7
Answer:
2 feet
Step-by-step explanation:
Let 'w' be twice the width of the deck.
The area of the swimming pool is:
The area of the swimming pool plus the deck is:
Therefore, the area of the deck is given by:
Solving the quadratic equation:
Since the width cannot be negative, w = 4 feet, ad the width is 2 feet.
Answer:
i have
Step-by-step explanation:
not
Hello :
x= r cos<span>θ
y= r sin</span><span>θ
r = 4 and </span>θ =<span> −3π/4
cos( </span> −3π/4 ) = cos( 3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2
So in this case you have two equal side lengths, which means you have a 45,45,90 triangle. However to prove this you do the following…
Identify if it’s giving you hypotenuse, adjacent, or opposite side length.
In this instant, it’s giving an opposite and adjacent length.
Remember SOH CAH TOA
Because you have Opposite and Adjacent you use Tan and tan(x)= opp/adj
Tan(x)= 2root2/2root2
Isolate the x through the inverse of tan
To get x= tan-1(2root2/2root2)
And this gets you 45 degrees or .79 radians