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ipn [44]
3 years ago
10

If sin a = 5/13 what is cos a

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

SIN(a) = G/H = 5/13

A^2 + G^2 = H^2 --> A = √(H^2 - G^2) = √(13^2 - 5^2) = 12

COS(a) = A/H = 12/13

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!!PLEASE ANSWER IMMEDIATELY!!
kenny6666 [7]

Answer:

<E=<G=115°

since opposite angle of rhombus is equal

4 0
3 years ago
The volume of a rectangular prism is 180cm3. If the length of the prism is 6m and the height is 5 cm, what is the width of the p
Sliva [168]
Hello!

To find the volume of a rectangular prism you use the equation

V = lhw

v is volume
l is length
h is height
w is width

Put in the values you know

180 = 6 * 5 * w

Divide both sides by 6

30 = 5 * w

Divide both sides by 5

6 = w

Answer is 6cm

Hope this helps!
3 0
3 years ago
Solve for h<br> v=πr^2h<br> ^2 is an exponent
DedPeter [7]
Divide both sides by pir^2

h = v / pir^2  Answe
5 0
3 years ago
Hi. I need help with these questions (see image)<br>Please show workings.<br>​
pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

\frac{dy}{dx} = f'(g(x))  × g'(x) ← chain rule

and the standard derivatives

\frac{d}{dx} (log_{a} x ) = \frac{1}{xlna} , \frac{d}{dx}(lnx) = \frac{1}{x}

(a)

Given

y = log_{a}\sqrt{(1+x)}

\frac{dy}{dx} = \frac{1}{lna\sqrt{(1+x)} } × \frac{d}{dx} ((1+x)^{\frac{1}{2} }

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2} (1+x)^{-\frac{1}{2} } × \frac{d}{dx} (1 + x)

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2\sqrt{(1+x)} } × 1

   = \frac{1}{2lna(1+x)}

   = \frac{1}{(1+x)lna^2}

(b)

Given

y = ln sinx

\frac{dy}{dx} = \frac{1}{sinx} × \frac{d}{dx}(sinx)

   = \frac{1}{sinx} × cosx

   = \frac{cosx}{sinx}

   = cotx

5 0
3 years ago
todd is 33 years old; his nephew jacob is 12. in how many years will jacob be 1/2 his uncle todd’s age
MakcuM [25]

Answer: 4.5 years

Step-by-step explanation:

He will be 16.5 which is 1/2 of the 33 year olds age in 4.5 years

5 0
3 years ago
Read 2 more answers
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