Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Answer:
We are given coordinates of a continuous function f(x)
(–2, 0)
(0, –2)
(2, –1)
(4, 0).
We need to find the possible turning point for the continuous function.
Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.
A turning point is always lowest or highest point of the curve (where bump of the graph seen).
For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.
But the coordinate (0, –2) is the lowest point on the graph.
Therefore, (0, –2) is the turning point for the continuous function given.
hoped this was helpful!
|2x - 5| - 2 = 3 |add 2 to both sides
|2x - 5| = 5 ⇔ 2x - 5 = 5 or 2x - 5 = -5 |add 5 to both sides
2x = 10 or 2x = 0 |divide both sides by 2
x = 5 or x = 0
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of solved puzzles
y -----> the number of solved riddles
we know that
The solution of the inequality is the shaded area above the solid line 
The slope of the solid line is negative 
The y-intercept of the solid line is the point (0,4)
The x-intercept of the solid line is the point (2,0)
therefore
The graph in the attached figure
Answer:Janice needs 5 pounds of vegetables.
Step-by-step explanation:
