1. Find the value of x A. 7 B. 4 C. 5 D. 6

Manny made $102.05 for 6.5 hours of work. How much did he make per hour?

Sphinxa [80]

Answer:

$15.70/hr

Step-by-step explanation:

The unit rate (amount earned per hour) is calculated as follows:

$102.05

------------- = $15.70/hr

6.5 hrs

5 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square

Molodets [167]

Answer:

6084 $\text{ft}^2$ .

Step-by-step explanation:

Please find the attachment.

We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 $\text{ft}^2$ and the area of the A/C building is 900 $\text{ft}^2$ .

We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

$a^2+b^2=c^2$

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.

Upon substituting our given information in Pythagoras theorem, we will get:

$5184+900=c^2$

$6084=c^2$

Therefore, the area of electrical building is 6084 square feet.

3 0

3 years ago

MAKE SURE TO SHOW YOUR WORK (please)

creativ13 [48]

Answer:

9.11 x 10^-28

Step-by-step explanation:

if you divide 9.11 x 10^-28 by 1.67 x 10^-24 you get .000546

if you divide 1.67 x 10^-24 by 9.11 x 10^-28 you get 1,833

therefore, 1.67 x 10^-24 is 1833 times greater than the other value

8 0

3 years ago

Read 2 more answers

The figures shown are similar.

SSSSS [86.1K]

Well first off here we know that one of the figures here is 24 and the other one is 18 so immediatly we can make a fraction out of this by putting the bigger number on the bottom as the denominator and the smaller number on the top as the numerator like so 18/24 we also know that this fraction can easily be simplified like so 3/4 (because 6 goes into each of them evenly) so the scale factor of these 2 figures is 3/4 or C.Enjoy!=)

4 0

3 years ago