Answer:
A=73.1
a=100.387
c=√
11007.799769
Step-by-step explanation:
A=180-90+16.9=73.1
Tan(16.9)=30.5/a
=100.387
a^2+b^2=c^2
100.387^2+ 30.5^2=c^2
c=√
11007.799769
The derivative of y=cos(^7)base x is
<u> Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
</u>
Step-by-step explanation:
step 1 :
y= (cos(7x))x
Take the natural logarithm of either side, bringing the t x down to be the coefficient of the right hand side we get the answer:
step 2 :
⇒ln y = xln (cos (7x))
Differentiate each side with respect to x. The rule of implicit differentiation: ddx (f(y)) = f'(y) ⋅ dydx
step 3 :
<u>∴1y ⋅ dydx = ddx (x) ⋅ln (cos(7x)) + ddx (ln (cos(7x)))⋅x
</u>
Use the chain rule for natural logarithm functions – ddx ( ln (f(x)) )= f'(x)f(x) - we can differentiate the ln (cos (7x))
step 4 :
<u>Ddx (ln (cos(7x))) = −7xsin (7x) cos( 7x 7tan (7x)
</u>
Returning to the original equation:
1y ⋅dydx = ln (cos(7x))−7xtan(7x)
Substitute the original y as a function of x value from the start back in.
Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
Which points are coplanar?<br>
A. C,G,A,F<br>
B. A,J,K,I<br>
C. B,J,K,F<br>
D. A,B,H,G
Damm [24]
Answer:
B, J, K, F. Because they are on the same side compared to the other answers.
Step-by-step explanation:
Coplanar points are three or more points which all lie in the same plane. Any set of three points in space is coplanar. A set of four points may be coplanar or may be not coplanar.
Plz mark brainliest!
Answer:
Let x=number of $0.25 increases, so the equation for revenue=price*number of tickets or people) becomes
Revenue=($3.00+$0.25x)(400-20x)
where ($3.00+$0.25x) :increase in price
and
(400-10x) : decrease in number of people
Expanding Revenue
Revenue[R]=1200-60x+100x-5x²:1200+40x-5x²
Taking the derivative of R and set it equal to 0:
R'=0+40-10x=40-10x
we have
R'=0
40-10x=0
x=40/10
x=4
So the ticket price is $3.00+$0.25*4=$4
The number of people will attend is 400-20*4=$320
<u>At </u><u>$</u><u>3</u><u>2</u><u>0</u><u> ticket price will the revenue be maximized</u><u>.</u><u />
Answer:
on what
Step-by-step explanation:
