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love history [14]
3 years ago
8

Write an expression that can be used to find 4x275 using mental math and properties of numbers

Mathematics
1 answer:
insens350 [35]3 years ago
3 0
(4 x 200) + (4 x 70) + (4 x 5)
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SOS PLEASE HELP <br>write the equation for this line <br>​
Deffense [45]

If this is for slope-intercept, the equation is: y = 3x + 1

To find the slope, you would find the rise over run ( \frac{rise}{run} ). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So, \frac{3}{1}, or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is <em>y = 3x + 1</em>.

If you have any further questions, please reach out to me :)

5 0
3 years ago
The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.
Irina-Kira [14]

Answer:

<u><em>Radius -  </em></u>4

<u><em>Apothem -  </em></u>2

<u><em>Area - </em></u>12\sqrt{3} or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

12\sqrt{3}  \div3 = 4\sqrt{3}

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6

By the way, the formula for the area can be either of the two:

A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS

we can easily find the area using the first formula.

A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

<em>Happy April Fool's btw, lol.</em>

4 0
3 years ago
Write a definition and give an example of the Commutative Property of Addition using decimal numbers.
konstantin123 [22]
Numbers that can easily be added to each other
Ex. 1.00 + 1.00 Is obviously 2.00 meaning its not hard to solve
5 0
4 years ago
A box contains some shapes, out of which 3 are triangles, 5 are squares and 2 circles. If a shape is selected randomly from the
natka813 [3]

Answer:

a) 1/2

Step-by-step explanation:

All we have to do is simply find the probability of selecting a triangle, find the  probability of selecting a circle and then add them together.

There are a total of 10 shapes in the box.

There are 3 triangles, so, the probability of picking a triangle is:

3/10

There are 2 circles, so, the probability of selecting a circle is:

2/10

Adding them together yields:

3/10 + 2/10 = 5/10 = 1/2

The probability of selecting a triangle or circle is 1/2.

6 0
3 years ago
Suppose the chance of winning a game is 1/50. If you play the game 50 times independently, is it certain that you will win? If n
arlik [135]

We are given chance of winning a game is 1/50.

In decimal form 1/50 could be written as 0.02.

So, for each game, the chance of winning is 0.02.

Therefore, chance of loss would be = 1 -(0.02) = 0.98.

Chance of loss of 50 independent games = 0.98*0.98*0.98*0.98...... upto 50 times, that is (0.98)^50.

The chance of winning at least once = 1 - (0.98)^50.

We got (0.98)^50 = 0.36417

Therefore, 1 - (0.98)^50 = 1 - 0.36417.

We get 0.63583.

Therefore, correct option is c. 0.6358.

5 0
4 years ago
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