Answer:
=4.95d
Step-by-step explanation:
The top row contains the product of
with each term of the expressions
and bottom row contains the product of -1 with each term of expression
.
The final result will be the sum of terms of both rows as shown below:
So the correct answer is option D
Answer:
y = 5
Step-by-step explanation:
AB = | 8 - (- 4) | = | 12 |= 12
Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4
12 ÷ 4 = 3
Thus
y = 8 - 3 = 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:
yes, the centroid is where the medians meet
<em>hope this helps!</em>
<em>have a great day :)</em>
