Write a function g whose graph represents the indicated transformation of the graph

The distance to the top of the flagpole from where the student is standing is 240 feet. What is the approximate angle of elevati

lys-0071 [83]

answer is 1.566 deg

Step-by-step explanation:

The angle of elevation is given by the formula

tanθ = height/distance

tanθ = H/ 240

tanθ × 240 = H

θ =( tan∧-1) 240

= <u>1.566 deg</u>

4 0

4 years ago

A stadium in Pennsylvanian seats 107,282 people. A stadium in Arizona seats 71,706 people. Based on these facts, how many more p

Blizzard [7]

Well, since we are finding out how many more seats there are in the Pennsylvanian stadium than in the Arizona stadium, we will have to subtract to find the difference. 107,282(pennsylvanian stadium) - 71,706(arizona stadium) would be 35,576 seats. So there would be 35,576 more seating in the Pennsylvanian Stadium than the Arizona Stadium.

8 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

$f(x,y,z)=10x+10y+3z$

$g(x,y,z)=5x^2+5y^2+3z^2=43$

We have to find the extreme values of the function.

$f_x(x,y,z)=10,f_y(x,y,z)=10,f_z(x,y,z)=3$

$g_x(x,y,z)=10x,g_y(x,y,z)=10y,g_z(x,y,z)=6z$

$\Delta f(x,y,z)=\lambda \Delta g(x,y,z)$

Therefore,

$10=\lambda 10x\implies x=\frac{1}{\lambda}$

$10=10y\lambda\implies y=\frac{1}{\lambda}$

$3=6z\lambda$

$z=\frac{1}{2\lambda}$

Substitute the values in g(x)

Then, we get

$\frac{5}{\lambda^2}+\frac{5}{\lambda^2}+\frac{3}{4\lambda^2}=43$

$\frac{20+20+3}{4\lambda^2}=43$

$\frac{43}{4\lambda^2}=43$

$\lambda^2=\frac{43}{4\times 43}$

$\lambda=\pm\frac{1}{2}$

When $\lambda=\frac{1}{2}$ then,

$x=2,y=2,z=1$

When $\lambda=-\frac{1}{2}$

Then, $x=-2,y=-2,z=-1$

$f(2,2,1)=10+10+3=23$

$f(-2,-2,-1)=-10-10-3=-23$

Hence, maximum value of f(x,y,z) is 23 at (2,2,1) and minimum value of f(x,y,z) is -23 at (-2,-2 ,-1).

8 0

4 years ago

Which of the following describes the quotient of 3 and -21?

Vinil7 [7]

-21 divided by 3: -7

Your answer is -7

3 0

3 years ago

2 fair dice are rolled. What is the probability that the sum is even given that the first die rolled is a 5?

sveticcg [70]

The answer would be 50% because if the second die landed on three of the numbers (1, 3 or 5) the sum would be even (6, 8 or 10) but if it landed on the other three numbers (2, 4 and 6) the sum would be odd (7, 9 or 11)

4 0

3 years ago