Answer:
45.3 mm
Step-by-step explanation:
Use the basic 45-45-90 triangle with side length 1 as the building block here. If the length of one side is 1, then the perimeter is 1 + 1 + 1 + 1, or 4, and the length of the diagonal is √2.
We are told that the length of the diagonal of the given square is 16 m.
Determine the length of one side of this square, using an equation of proportions:
16 x
------ = -------
√2 1
16
Then (√2)x = 16, and x = -----------
√2
The perimeter of the given square (with diagonal 16 mm) is 4 times the side length found above, or:
16 16
4 ---------- = (2)(2) ----------- = (2)(√2)(16) = 32√2 (all measurements in mm)
√2 √2
This perimeter, rounded to the nearest tenth, is 45.3 mm.
All 3 sides are all equal
Answer:
x = -10
Step-by-step explanation:
Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.
4(x+5) = 3(x-2) -2(x+2)
4x + 20 = 3x - 6 - 2x - 4
4x + 20 = x - 10
3x = -30
x = -10
Answer:
a. Sale Price
b. Total percent discount
Step-by-step explanation:
First Discount:
Initial Price
Discount
Second Discount:
Effective Discount:
Initial Price
Final Price
Total discount
Answer: Angle N
Explanation:
For triangle ABC, we refer to the middle angle, Angle B.
For triangle MNP, we refer to its middle angle, Angle N.
Good luck!
