Answer:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.The vertical change between two points is called the rise, and the horizontal change is called the run.
Step-by-step explanation:
Given :
1- cosA = 1/2
or, CosA = 1 -1/2
Therefore ; CosA = 1/2 = b/h
According to the Pythagoras theorem,
P = root under h^2 - b^2
= root under (2)^2 - (1)^2
= root under 4 -1
= root 3
Again,
SinA = P/h
= root 3 / 2
Answer:
The area of circular plate is <u>144π square centimeters</u>.
Step-by-step explanation :
<h3><u>Solution</u> :</h3>
Here, we have given that the radius of circular plate is 12 centimeters.
So, finding the area of circular plate by substituting the values in the formula :







Hence, the area of circular plate is 144π square centimeters.

9514 1404 393
Answer:
- red boat distance: 42 miles
- angle at lighthouse: 22°
Step-by-step explanation:
The Law of Cosines can be used to find the distance from the red boat to the lighthouse.
b² = l² +r² -2lr·cos(B)
b² = 18² +30² +2·18·30·cos(120°) = 1764
b = √1764 = 42
The distance from the red boat to the lighthouse is 42 miles.
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The angle at the lighthouse can be found using the law of sines.
sin(L)/l = sin(B)/b
L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°
The angle between the boats measured at the lighthouse is about 22°.
Answer: $1.20
Step-by-step explanation:
To calculate sales tax, multiply the price by the tax percentage.
$30 x 0.04 (4% sales tax) = $1.20