Answer:
15<x<27
Step-by-step explanation:
Rule for the sides of a triangle:
The sum of the two smallest sides of a triangle must be greater than the biggest side.
In this question:
Sides of 6, 21 and x. We have to find the range for x.
If 21 is the largest side:
Two smallest are 6 and x.
x + 6 > 21
x > 21 - 6
x > 15
If x is the largest side:
Two smallest and 6 and 21. So
21 + 6 > x
27 > x
x < 27
Then
x has to be greater than 15 and smaller than 27. So the answer is:
15<x<27
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Answer:
You can look at the screenshot
Step-by-step explanation:
So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.
0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.
Hope this helps! Good luck!
Answer:
44.65 inches
Step-by-step explanation:
Height of ramp = 16 inches
Length of ramp, l
Angle formed by ramp and ground = 21°
Using Pythagoras :
Sinθ = opposite / hypotenus
Sin21° = 16 / l
0.3583679 = 16 / l
0.3583679 * l = 16
l = 16 / 0.3583679
l = 44.646855 inches
Hence, length of ramp is 44.65 inches
