If four coordinates are given then:-
- Find length of the sides using distance formula
- Now break down into two triangles .
- Use herons formula and find areas of the triangles .add them and get the area
Point B is a point of tangency. Find the radius r of OC.
1 answer:
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r =
r = 16 units
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Answer:
Option A is correct.
Solution for the given equation is,
Step-by-step explanation:
Given that :
Let
then our equation become;
.....[1]
A quadratic equation is of the form:
.....[2] where a, b and c are coefficient and the solution is given by;
Comparing equation [1] and [2] we get;
a = 2 b = -1 and c =-1
then;
Simplify:
or
or
and
Simplify:
y = 1 and
Substitute y = cos x we have;
⇒
and
⇒
The solution set:
Therefore, the solution for the given equation is,
<u>Given:</u>
The width of the snack box is
The length of the snack box is
The height of the snack box is 4 inches.
We need to determine the volume of the hamsta snack box.
<u>Volume of the box:</u>
The volume of the box can be determined using the formula,
where L is the length, W is the width and H is the height of the box.
Substituting the values, we get;
Simplifying, we get,
Thus, the volume of the Hamsta snack box is 15 cubic inches.