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shutvik [7]
3 years ago
6

How do I do these? I don’t understand how my teacher is teaching it so can someone explain

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Here's some guidelines to help you:

For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.

For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).

You can apply all these rules to the other 4 problems I didn't explain.

Hope this long explanation clears your doubts!

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How much is f(10) if f=x^2-2
dangina [55]

To find this value, simply substitute the number 10 in for x in your equation:

f(x) = x^2 - 2

f(10) = 10^2 - 2 = \boxed{98}

The answer is 98.

8 0
2 years ago
When creating a histogram, the first recorded scale is 0 to 10. What should the second scale indicate?
klio [65]

Answer:

A) 10-20

Step-by-step explanation:

Its A because it started with 0 and it went to 10 so it adds 10 each time cause it gave us the hint with 0 to 10,

I hope this helps

6 0
2 years ago
The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (&
xxMikexx [17]
We know that the perimeter is the all the sides added up together. Generally, you have p = 2l+2w, where l is length and w is width.

For a square, all sides are of the same length, so you can write p=4x, where x is any side.

If the smallest perimeter is 14, then 14 = 4x, so x is 3.5. If the largest perimeter is 72, then 72 = 4x, so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.
3 0
3 years ago
What is the area of the figure?<br> Enter your answer in the box.
nordsb [41]

Answer:

The area of the figure = 112 in²

Step-by-step explanation:

The figure consist of:

1) A square of side length of 10 in.

2) A right triangle with a base of (10 - 6 = 4 in) and a height of (16 - 10 = 6 in)

So,

The area of the square = (side length)² = 10² = 100 in²

The area of the triangle = 0.5 * height * base = 0.5 * 6 * 4 = 12 in²

So,

The total area = 100 + 12 = 112 in²

<u>The area of the figure = 112 in²</u>

6 0
3 years ago
What is the inverse of y=3x+3?
larisa86 [58]

Answer:

The inverse is x/3 -1

Step-by-step explanation:

y = 3x+3

To find the inverse, exchange x and y

x = 3y+3

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x-3 = 3y

Divide by 3

x/3 - 3/3 = 3y/3

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The inverse is x/3 -1

3 0
3 years ago
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