9514 1404 393
Answer:
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Step-by-step explanation:
We are given two equilateral triangles. The perimeter of the second is given as 102 inches, so its sides have length 102/3 = 34 inches. This is 2 less than 3 times the side length in the first triangle. So, adding 2 will give 3 times the side length of the first triangle: 36 inches, which also happens to be its perimeter. Those side lengths are 36/3 = 12 inches.
Now, we know:
first triangle -- side length 12 inches, perimeter 36 inches
second triangle -- side length 34 inches, perimeter 102 inches.
These measurements are desired in millimeters. Each inch is 25.4 millimeters, so we can find the desired measures by multiplying these numbers by 25.4.
12×25.4 = 304.8; 36×25.4 = 914.4
34×25.4 = 863.6; 102×25.4 = 2590.8
The desired lengths are ...
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Error is between steps 4 and 5. It should say:
Step 4: -9x < 27
Now divide by -9
Step 5: x > -3
Note that the inequality changes direction.
When you mean multiply or divide an inequality by a negative number, the inequality changes direction.
For example:
4 < 5
Multiply by -1:
-4 > -5
Another example:
-5 < 0
5 > 0
Answer:
q = -2
Step-by-step explanation:
Constant = whole number
If the two lines are parallel the slopes would be equal.
So if the first line is y = -2x + 5/3
The the second line would become y = -2x + 6.
If q becomes -2, it will be a constant and the two lines will also be parallel
Answer:
A. Cos θ = 16/42
Step-by-step explanation:
The angle the ladder makes with the floor = θ
Hypotenuse = length of the ladder = 42 m
Adjacent = Distance from the bottom of the ladder to the wall = 16 m
Therefore to find θ, we would apply the trigonometric function, CAH:
Cos θ = adj/hyp
Which is:
Cos θ = 16/42
Answer:
-12
Step-by-step explanation:
-3 + -9 = 12
hope this helps
