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Tju [1.3M]
3 years ago
5

One spinner is divided into five equal sections numbered 1 to 5. A second spinner is divided into seven equal sections numbered

6 to 12. How many total outcomes are there if both spinners are spun?
Mathematics
2 answers:
White raven [17]3 years ago
7 0
Spinning the first and second spinner will give 5 and 7 outcomes, respectively. To determine the total combinations or total outcome if these two are spun, use the <em>Fundamental Principles of Counting</em>. The total outcome is the product of the two outcomes. Thus, the answer is 35. 
natulia [17]3 years ago
7 0

Answer: Hence, there are 35 outcomes in total if both the spinners are spun.

Step-by-step explanation:

Since we have given that

Number of outcomes for spinner numbered 1 to 5 = 5

Number of outcomes for spinner numbered 6 to 12 = 7

So, Using the Fundamental theorem of Counting, we get the total number of outcomes when both the spinners are spun together.

So, Number of total outcomes would be

7\times 5\\\\=35

Hence, there are 35 outcomes in total if both the spinners are spun.

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(2sin60°)(3tan60°)—(4tan45°)(2cos45°)​
Dimas [21]

Answer:

9 - 4\sqrt{2}

Step-by-step explanation:

sin60° = \frac{\sqrt{3} }{2}

tan60° = \sqrt{3}

tan45° = 1

cos45° = \frac{1}{\sqrt{2} }

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

(2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )

\sqrt{3}  * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )

3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }

9 - 4 *\frac{2\sqrt{2} }{2}

9 - 4 * \sqrt{2}

9 - 4\sqrt{2}

5 0
3 years ago
Write the slope-intercept form of the equation of each line​
Vera_Pavlovna [14]

First let's talk about the blue line.

You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.

We have thusly,

y=x+n

Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

y=x-1

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

y=0x+0=0

Now we have y-axis. Does y axis have a slope? Yes but it is \infty. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

x=0

That is, every point of a form (0,a) lies on y-axis.

Hope this helps :)

8 0
3 years ago
What weighs more 4 pounds of books or 60 ounces of pebbles
erma4kov [3.2K]
4 pounds of books because 60 oz only equals 3.75 pounds.
6 0
3 years ago
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Viktor [21]
It’s 13 and 15 you felllmeeyebebenr
8 0
2 years ago
if 3 half-gallon containers of ice cream on sale for $6.69,what is the price for 2 half-gallon containers?​
kvv77 [185]
<h3>Answer:  $4.46</h3>

===================================================

Work Shown:

3 containers = 6.69 dollars

3/3 containers = 6.69/3 dollars .... divide both sides by 3

1 container = 2.23 dollars

2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2

2 containers = 4.46 dollars

A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3

Each mention of "container" refers to a half-gallon container.

6 0
3 years ago
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