Answer:
12/13, or answer choice B
Step-by-step explanation:
Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.
Math:
5^2+12^2=169
25+144=169
And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.
To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA
SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE
CAH: it means that COS is ADJACENT OVER HYPOTENUSE
TOA: It means that TAN is OPPOSITE OVER ADJACENT
because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.
Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.
I hope my answer helped!
If this helped you, please vote brainliest. Thanks!
We need to multiply
We need to use the distributive property to expand this:
Let's multiply it out using this property, to get our answer:
The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64
The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33
We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.
4. 0.76
5. 0.18
8. 4.48
9. 0.08
12. 3.08
13. 0.45
:)
Answer:
see the explanation
Step-by-step explanation:
we have the quadratic equation
This is a vertical parabola open downward
The vertex is a maximum
Find the x-intercepts of the quadratic equation
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0
Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet
