Ask question

Ask question

All categories

4 years ago

7

Sylive needs $110 for concert tickets . She already has $16 and she can earn the rest by working 10 hours at her job. If h repre

sents her hourly earning which of the following equations can be solved to find sylive's hourly earning?

2 answers:

Anna11 [10]4 years ago

7 0

Answer:

The answer is 8 dollars

Step-by-step explanation:

I just took the test

Georgia [21]4 years ago

3 0

Answer:

110=16+10h

Step-by-step explanation:

You might be interested in

Cole has 12.4 meters of string how many feet of string is this

34kurt

It is 40.682414698, or about 40.7 feet of string.

8 0

3 years ago

Solve this question

aleksklad [387]

The answer will be C

6 0

3 years ago

Read 2 more answers

Roman55 [17]

Answer:

2.53×10^8 liters

Step-by-step explanation:

(8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

3 0

3 years ago

A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (> r) from th

jeyben [28]

Consider a circle with radius $r$ centered at some point $(R+r,0)$ on the $x$ -axis. This circle has equation

$(x-(R+r))^2+y^2=r^2$

Revolve the region bounded by this circle across the $y$ -axis to get a torus. Using the shell method, the volume of the resulting torus is

$\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx$

where $2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}$ .

So the volume is

$\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx$

Substitute

$x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt$

and the integral becomes

$\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt$

Notice that $\sin t\cos^2t$ is an odd function, so the integral over $\left[-\frac\pi2,\frac\pi2\right]$ is 0. This leaves us with

$\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt$

Write

$\cos^2t=\dfrac{1+\cos(2t)}2$

so the volume is

$\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}$

6 0

3 years ago

-8.27 as a mixed number

Anastasy [175]

Answer:

-8 27/100

<u>A mixed number consists of an integer followed by a proper fraction.</u>

5 0

3 years ago

Read 2 more answers