III

Mathematics

1 answer:

irakobra [83]3 years ago

3 0

Answer:

101in

Step-by-step explanation:

9*5=45

9*4=36

5*4=20

45+36+20=101

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The Fernandez family drove 273 miles in 5.25 hours. How far would they have driven at that rate in 4 hours?

Vaselesa [24]

The Fernandez family would have driven 208 miles in a rate of 4 hours.

4 0

3 years ago

(I've been trying to figure this out for 3 days and I really need help)

liq [111]

Check the picture below.

since the diameter of the cone is 6", then its radius is half that or 3", so getting the volume of only the cone, not the top.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \implies V\approx 37.7$

now, the top of it, as you notice in the picture, is a semicircle, whose radius is the same as the cone's, 3.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=3 \end{cases}\implies V=\cfrac{4\pi (3)^3}{3}\implies V=36\pi \\\\\\ \stackrel{\textit{half of that for a semisphere}}{V=18\pi }\implies V\approx 56.55$

well, you'll be serving the cone and top combined, 12π + 18π = 30π or about 94.25 in³.

pretty much the same thing, we get the volume of the cone and its top, add them up.

$\bf \stackrel{\textit{cone's volume}}{\cfrac{\pi (3)^2(8)}{3}}~~~~+~~~~\stackrel{\stackrel{\textit{half a sphere}}{\textit{top's volume}}}{\cfrac{4\pi 3^3}{3}\div 2}\implies 24\pi +18\pi \implies 42\pi ~~\approx~~131.95~in^$

8 0

3 years ago

35.4% expressed as a decimal becomes<br> a. 35.54<br> b. 0.354<br> c. 35.0<br> d. 354

Alja [10]

35.4% expressed as a decimal is .354

*Anchor: if you got 100% on your test, you got 1 whole test right.
Notice how I moved the decimal back two places to change 100% to 1

*An anchor is something that helps you remember what to do in the future. Use the anchor above to help you remember which way to move the decimal point when you change a percent to a decimal.

5 0

3 years ago

Can someone answer my question please

Charra [1.4K]

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

$\frac{\theta }{360}\cdot 2\pi \left(11\right)=16$