Thor invests $3000 in an account, with interest compounded continuously. If his investment doubles in value after 7.2 years, wha
1 answer:
You might be interested in
<h3>Answer:</h3>
9. 471.7 square units
10. 827.0 square units
<h3>Explanation:</h3>If you're going to have someone else solve your problem for you, it is much quicker and easier to use an appropriate computer or graphing calculator app. (See the attached.)
9. There are at least a couple of ways to approach this. The law of sines can be used to find the length of another side. Given two sides and the angle between them, a formula gives area.
<em>Law of Sines</em>
... a/sin(A) = c/sin(C)
Multiplying by sin(C) gives
... c = sin(C)·a/sin(A) = 19·sin(64°)/sin(20°) ≈ 49.9301
The angle between sides a and c is B, which has the value ...
... B = 180° -A -C = 180° -20° -64° = 96°
Then the area of the triangle is ...
... Area = (1/2)ac·sin(B) = (1/2)(19)(49.9301)(0.994522) ≈ 471.737 ≈ 471.7
10. Heron's formula will give the area of a triangle from its side lengths.
... s = (a+b+c)/2 = (51+38+45)/2 = 67
... Area = √(s(s-a)(s-b)(s-c)) = √(67·16·29·22) = √683936 ≈ 827.004 ≈ 827.0
We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
, where,
r = Radius of circle,
= Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.
Upon rounding to nearest hundredth, we will get:
Therefore, the radius of circle H is approximately 63.88 miles.
Given:
The function is:
To find:
The roots of the given equation.
Solution:
We have,
For roots, .
On further simplification, we get
Using zero product property, we get
Similarly,
And,
Therefore, the zeroes of the given function are and the factor form of the given function is
.