Simplify. Assume that all variables are positive.
1 answer:
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Answer:
(i) the other two sides are 6 and 6
(ii) the other two sides are
Step-by-step explanation:
(i) Sine: sin(θ) = Opposite ÷ Hypotenuse
Cosine: cos(θ) = Adjacent ÷ Hypotenuse
Tangent: tan(θ) = Opposite ÷ Adjacent
Here adjacent side = 6
opposite side = d
angle = 45°
other angles are 90° and 45°
tan (45) = Opposite ÷ Adjacent
1 = d ÷ 6
∴ d = 6 × 1 = 6
so opposite side = 6
Hypotenuse ² = opposite side ² + adjacent side²
= 6² + 6²
= 36 + 36
= 72
hypotenuse =
= 6
the other two sides are 6 and 6
(ii) here adjacent side = 4√3
angle = 30°
other angles are 90° and 60°
opposite side = d
tan ( 30) = opposite ÷ adjacent
= d ÷ 4√3
= d × (
)
3 d = 4
therefore d =
therefore opposite side =
Hypotenuse ² = opposite side ² + adjacent side²
=( )² +(
)²
=
therefore hypotenuse =
=
the other two sides are
Answer: 2.25x 
Scientific notation is used in science because the number can be vary from so much that using decimal is making it hard. The number expressed in
form. Both number in the question is already in scientific notation. Then to multiply the number and keep it at scienfitic notation the calculation should be:
2.5 x
x 9 x 
= 22.5 x 
= 2.25x
Scientific notation is used in science because the number can be vary from so much that using decimal is making it hard. The number expressed in
2.5 x