Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° = , then
sin60° = = = ( cross- multiply )
2x = 3 ( divide both sides by 2 )
x = 1.5
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Answer:
we get the all equation of given condition & Step-by-step explanation:
Given that,
Number of painting made by Gloria every month is 2.
Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.
we have to check all the apply.
According to question,
M is the independent variable and P is dependent variable.
So, Relation formed by given statement is
Case(1): P is increased by 2 as M is increased by 1.
Then,
This is Equation of the given case(1).
Again, P is the independent variable and M is dependent variable.
∴
Case (2) M is increased by 2 as P increased by 1.
Then,
Hence,
we get the all equation of given condition &
Answer:
x = 12 and 2
Step-by-step explanation:
x^2 - 14x + 48 = 0
(x - 12)(x - 2) = 0
x = 12 x = 2
Answer:
3x +19
Step-by-step explanation:
(9-6-4x+9)+(12+7x-5)
(12-4x)+(7+7x)
3x+19