Answer: 10 ft
Explanation
As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.
0. Calculating BC
We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:
we can find the opposite side, which is BC. Replacing the values and simplifying we get:
Thus, the segment BC measures 5ft.
<em>2. Calculating segment AC</em>.
In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:
<em>3. Calculating the distance between A and B</em>
1) 2a+18
2) 5-10w
3) -12x+18
4) 2a+1b
5) 16.65+3.7x
6) 2x+12
7) 8x-32
8) 0.9x-0.6+0.36y
Answer:
The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)
Answer:
the answer is D because all of the other ones are completely different expressions. but D is the expression that's in the problem, except they combine 6x and 7x because they're like terms
Step-by-step explanation:
Answer: 115.875
Explanation:
Start by finding the area of the rug
Area of rectangle is length x width:
= 12.5 x 10.75
= 134.375
You’re already given the area for the loveseat (12.5 sqft.) and the area for the entertainment center (6 sqft.). Subtract these from 134.375:
134.375 - 12.5 - 6 = 115.875
