Answer:
<h2>89.5°</h2>
Step-by-step explanation:
Using the vector formula
|u| = magnitude of vector u
|v| = magnitude of vector v
u.v is the dot product of vector u and v
Given |u| = 88, |v| = 99 and u.v = 77, to get we will substitute the given values into the equation above;
Answer:
A. 27°
Step-by-step explanation:
Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:
m<1 + m<2 = 90°
3x + (5x + 18) = 90°
Solve for x using this equation
3x + 5x + 18 = 90
8x + 18 = 90
Subtract 18 from both sides
8x + 18 - 18 = 90 - 18
8x = 72
Divide both sides by 8
x = 9
Find m<1
m<1 = 3x
Plug in the value of x
m<1 = 3(9) = 27°
2x - 11 is the answer because you don’t know what x is equal to
The area of the lower-left trapezoid is
.. A₁ = (1/2)(b₁+b₂)h
.. A₁ = (1/2)(36 ft +18 ft)(12 ft)
.. A₁ = 324 ft²
The area of the upper-right trapezoid is
.. A₂ = (1/2)(b₁+b₂)h
.. A₂ = (1/2)(24 ft +12 ft)(18 ft)
.. A₂ = 324 ft²
The area of the floor plan is
.. A = A₁ + A₂
.. A = 324 ft² + 324 ft²
.. A = 648 ft²
The area of the floor plan is 648 square feet.
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Check
It can also be computed as (36 ft)(24 ft) - (18 ft)(12 ft) = 648 ft².