(a).
Simplify the expression to obtain the value at missing place.
Blank space: 35
(B).
Simplify the expression to obtain the value of missing place.
Blank space : 7
(C)
Simplify the expression to obtain the value at missing place.
Blank space: 2
X = -135°, cos 2x = _______
1 answer:
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Answer:
the second statement is not true
Step-by-step explanation:
If x squared equals 100, it doesn't mean necessarily that x is positive ten, since you can get 100 also by squaring the value (-10):
(-10)
The second statement is ignoring the possibility of x being a negative ten which also gives 100 as answered when squared.
Answer:
A = 400 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the vertical height ) , then
A = × 20 × 40 = 10 × 40 = 400 ft²
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
The smallest angle of the triangle.
✅
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ =
✒ tan θ =
✒ θ = (0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
