Simplify the complex fraction 7/10÷-2/5

1 answer:

8 0

$\bf \cfrac{7}{10}\div \cfrac{-2}{5}\implies \cfrac{7}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{-2}\implies -\cfrac{7}{4}$

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What is the volume of a hemisphere with a radius of 5.7 m, rounded to the nearest

Sindrei [870]

Answer: 387.9 m

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

πr

\text{radius} = 5.7

radius=5.7

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (5.7)^3

π(5.7)

775.734624395

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{775.734624395}{2}

775.734624395

Divide volume by 2

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\approx 387.9\text{ m}^3

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6 0

3 years ago

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below

artcher [175]

Answer: $y \leq \frac{1}{2} x+3$

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

$y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3$