An ice cream store sells 3drinks, in 4sizes, and 8 flavors. In how many ways can a customer order a drink?

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

You would take 3 x 4 which equals 12. And then you would take 12 x8 which would equal 96

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Simone wrote that 2 + 5.8 = 6.<br><br> Use the drop-down menus to explain why 6 is incorrect.

maxonik [38]

Answer:

2 + 5.8 cannot be 6 because 2 + 5.8 is 7.8.

Six is a correct sum to the expression 0.2 + 5.8, not 2 + 5.8.

7 0

3 years ago

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

dusya [7]

Answer:

2120.58 centimeters³

Explanation:

First divide the diameter by 2 to get 9. The volume of a cone is 1/3*π*r²*h so 1/3*π*9²*25

This equals 2120.59 cm³ (cubed)

6 0

3 years ago

The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1

natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

$3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}$

$\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.$