154=-32-24x+24
154+32-24=-24x
162=-24x
162/-24=-24x/-24
X=-6.75
Answer:
No, 6 is not a solution to the equation x2-4=5x
Step-by-step explanation:
6(2)-4=5(6)
12-4=30
8=30
The question is basically asking if you replace x with 6, will the equation equal each other on both sides, for example 6=6 or 3.5=3 1/2. In this case the equation gives us 8=30 which means 6 would not be a solution since both sides aren't equal to one another, 30 is bigger than 8.
Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
We have two forces as follows:
<u>First force:</u>
Magnitude: 150 pounds
Angle: 30°
<u>First force:</u>
Magnitude: 100 pounds
Angle: 120°
So the components can be found as follows:
So the components of the resultant force can be found by adding each component of the individual forces as follows:
Finally, the magnitude and direction of the resultant force is:
