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goldfiish [28.3K]
2 years ago
13

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
fredd [130]2 years ago
6 0

Answer:

6

Step-by-step explanation:

All we need to do is pythagoras theorem. 4sqrt5 is the hypotenuse and 4 is a leg, (4sqrt5)^2 - 4^2 = 36. Sqrt36 is 6.

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1 - 2sin^2(pi/3) = _____ <br> cos pi/6 <br> sin pi/6 <br> cos 2pi/3<br> sin 2pi/3
ZanzabumX [31]

Apply the cosine double angle identity to get:

Cos 2PI/3

6 0
3 years ago
Lacy opened a savings account and deposited $100. The account earns 6% interest compounded monthly if she wants to use the money
Dafna11 [192]

Answer:

Future Value= $112.72

Step-by-step explanation:

Giving the following information:

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Number of periods (n)= 2*12= 24 months

Interest rate (i)= 0.06/12= 0.005

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 100*(1.005^24)

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5 0
3 years ago
All the marbles in a bag for a game two are red and three are blue Sandra will randomly choose one marble from the bag fill in t
V125BC [204]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
Find the equation of the line that is perpendicular to 3y-x=7 and passes through the point (2,-1
boyakko [2]
Hello
<span>an equation for the line in​ point-slope form and general form is :
y = ax+b   a : </span>slope  ; the <span>Passing through (x' ; y')
</span>y' = ax'+b 
y-y' =a(x-x')      and : x' =2   y' = - 1
calculate a :
let :  y = ax+b .....(D)
   ....<span>3y-x=7</span>....(D') or  y = (1/3)x+7/3
.(D) perpendicular to(D') : slope (D) × slope (D') = -1 

 slope (D') = 1/3
slop(D)×(1/3) = -1
slope (D) = -3
equation for the line    :   y-y' =a(x-x') 
y+1 =(-3) (x-2)
7 0
3 years ago
John has a round swimming pool the distant from the center of the pool to the edge 3 m which formula can I used to find the area
DerKrebs [107]
The formula that you will use will be the formula for the area of a circle, which is as follows:
A= Pi r^2
(Pi times the radius squared)
5 0
2 years ago
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