Answer:
30 feet
Step-by-step explanation:
Let x be the length of the ladder. Then, x cos(60) = 15
If we divide both sides by cos(60), then x = 30 feet.
The answer is 0.38
It can also be 19/50
I hope this helps
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.
y = 2x3 – x2 – 4x + 5 should be written <span>y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.
I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!
Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?
Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:
dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:
dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.
Now we have 2 roots: -1 and 2/3
Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:
(-infinity, -1), (-1, 2/3) and (2/3, infinity).
Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.
Ask all the questions you want, if this explanation is not sufficiently clear.
Answer with explanation:
A regular polygon is simple closed geometrical shape, only made up of line segments.
And Regular Tessellation, is geometrical shape, made up of regular polygons having, 3 ,or 4 or 6 sides.
It is combination of, only single kind of polygon,either, polygon having 3 sides, or ,4 sides or 6 sides.
→Regular polygon having 3 sides is Called Equilateral Triangle.
→Regular polygon having 4 sides is Called Square.
→Regular polygon having 6 sides is Called Regular Hexagon.
⇒Regular polygon having , 8 sides will not form a regular tessellation.
Option D
Answer:
3
Step-by-step explanation:
Simplify: (-7x2 - 3x) - (4x2 - x) ... -11x2 – 2x ... 3x – 5 + 23x – 9 = 3x + 23x – 5 – 9 = 26x – 14 = 2(13x – 7) Answer: 2(13x – 7). 11 . ... 2x - 3 + 3 = - 9 + 3, (Adding 3 on both sides) 2x = -6 2x/2 = -6/2
