Function f(4) = -10 and if g(x) = 2 , x = 0.
To find f(4), we will observe the graph of f(x).
According to the graph of f(x),
when x = 4, y is -10 which means when x is 4 value of f(4) is -10.
To find the value of x when g(x) is 2, we will observe the graph of g(x).
According to the graph of g(x),
when y = 2, x is 0 which means that when x is 0, the value of g(x) is 2.
Hence, f(4) is -10 and x = 0 when g(x) = 2.
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Answer:
2121.8
Step-by-step explanation:
The principal is 2000
Rate is 3%
Time is 2 years
Therefore the amount that will be present in the account after 2 years can be calculated as follows
= 2000 × (1+0.03)^2
= 2000 × 1.03^2
= 2000 × 1.0609
= 2121.8
Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.
If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.
Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.
9514 1404 393
Answer:
b = 71 m
A = 83°
C = 29°
Step-by-step explanation:
Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.
Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.
b = √(a² +c² -2ac·cos(B))
b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48
b ≈ 70.82005 ≈ 71 . . . meters
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One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.
sin(A)/a = sin(B)/b
A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°
A ≈ 83°
C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°
C ≈ 29°
Or, you can find the remaining angle from 180° -68° -83° = 29°.