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:
No
Step-by-step explanation:
If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.
Calculate the ratio of corresponding sides.
= 4
= 4
≠ 4
Thus the sides are not the corresponding sides of similar triangles.
Circumference of a circle is pi x diameter (full length of the circle)
you have the radius which is half, so youd need to double it go geth the diameter.
24x2=48
and then 3.14x48=150.72
0, 1, 1, 2, 2, 2, 2, 3, 3, 5
minimum: 0
maximum: 5
mean: 2.1
median: 2
mode: 2
I think the data have zero skew. Its mean, median, and mode are based on 2. It shows symmetry.
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
<u>Substitute 0 into x:</u>
2(0) + 6y = 24
6y = 24
<u>Divide each side by 6:</u>
y = 4
<u>Substitute 0 into y:</u>
2x + 6(0) = 24
2x = 24
<u>Divide each side by 2:</u>
x = 12
