cant see the pic
please type out the question
so that i can help u
Answer: A. 31.5
Step-by-step explanation:
Using law of cosine because it is side angle side
a=16
b=21
angle = 116
c^2=a^2+b^2-2ab cosC, let C be the angle given
c^2=(21)^2+(16)^2-2(16)(21) cos(116)
c^2=441+256-672 cos(116)
i used a ti-89 and answered the right side and got
(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)
991.585
c^2=991.585
take square root of both sides
=31.4894, which if you round it up it would be 31.5, so the answer would be A
therefore:
a=16
b=21
c=31.5
Answer:
x = 15.4
Step-by-step explanation:
Because this is a right triangle, you can use the pythagorean theorem to find the length of the hypotenuse. the theorem is a^2 + b^2 = c^2
so
9^2 + 12.5^2 = c^2
solving this will give you 15.4
76 is 80% of 95 and I'll even explain.
80/100 = 76/x from this point you cross multiply which gives you 80x = 76(100) you multiply 76 by 100 and get 7600 so then the equation look like this 80x = 7600 then divide by 80 on both sides and get the answer of x = 95 which is basically your answer I hope this helps :)
$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.
<u>Step-by-step explanation:</u>
Harlie invests $325 in an account.
- Principal, P = $325
- Interest rate, r = 8% ⇒ 0.08
- Number of years, t = 15
<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>
⇒ 
<u></u>
⇒ 
⇒ 
Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.
<u>Money Charlie has after 15 years :</u>
It is given by the formula,
⇒ Amount = Principal + Interest.
⇒ 325 + 390
⇒ 715 dollars.
∴ The money does Charlie have after the 15 years is $715.
