Answer:
x=1.4 y=2.8
Step-by-step explanation:
Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.
Simplifying by combining x: 9.25x=12.95
Then you just divide 12.95 by 9.25: x=1.4
Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.
Answer:
Answer is D.
30
Step-by-step explanation:
all angles add up to 180(applys to triangles)
17.
The point-slope form:
We have slope=m=8, and the point (-5, -3). Substitute:
18.
The formula of a slope:
We have the points (3, 4) and (15, 10). Substitute:
The point-slope form:
or
Answer:
Option D
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 b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=42, B=120°, and c=35. Plugging in the values:
b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).
Simplifying gives:
b^2 = 4459.
Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).
This means that the length of the third side is 66.78 units!!!
