In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a
student chosen randomly from the class has a cat?
1 answer:
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The distance travelled from the starting point is 29 km , the bearing is 344 degree
The missing diagram is attached with the answer.
<h3>What is Bearing Angle ?</h3>It is the horizontal angle between the object and another object.
It is given that the car starts from point travels for 30km on a bearing of 145, then 10 km on a bearing of 250
(a) the distance travelled from the starting point
It can be understood from the diagram that
To determine the distance , b is to determined4
By applying Cosine rule
b² = a² +c²-2ac cos
b² = 10² +30² - 2* 30*10 cos75
b² = 100+900 -600* 0.2588
b² = 100-155.2914
b² = 844.7
b = 29 km
Therefore the distance travelled from the starting point is 29 km.
(b) the bearing of the starting point from the car.
To determine the bearing ,
angle C has to be determined
By sine rule
sin C / c = sin B / b
sin C = sin 75 * 30 / 29
sin C = 0.9970
C = sin⁻¹ 0.9970
C = 85.59 degree
angle C = α +70 degree
α = 15.59 degree
Bearing = 70 + 20 + 9 0 + 90+74 = 244 degree
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Answer:
A
Step-by-step explanation:
Given
(- 12x + 4) +
(6x + 8) ← distribute parenthesis
= - 9x + 3 + 3x + 4 ← collect like terms
= - 6x + 7 → A
Answer:
218
Step-by-step explanation:
first find the area of the circle-
to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).
Now I know the height is 12. Find the area of the triangle
subtract the area of the triangle from the area of the circle
314-96=218