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2 years ago

Can you help me to solve this problem

Mathematics

1 answer:

storchak [24]2 years ago

6 0

Answer:

I want to show you how to do this as well, the formula you are working with is a^2+b^2=c^2

Step-by-step explanation:

1.) 8^2+b^2=12^2

64+b^2=144

subtract 64 from both sides

b^2=80

take the square root of 80 and you get

b= 8.9

if you need more help on this let me know, I am going to list the other answers now because to do it all and show work on here is a lot of typing, all of which I will do if you do not understand the first example. Also the c value can ONLY BE THE HYPOTENUSE VALUE. The hypotenuse is the longest side of the triangle. For example, 12 would be the C value on number one and in number two it would be 15.

2.) 14.5

3.) 10.3

4.) 18.8

5.) 8

6.) 15

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If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these

Vikki [24]

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

10 + d = 15*5 = 75

d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

5 0

2 years ago

Confused on the steps and I need help

lions [1.4K]

9514 1404 393

Answer:

3) y = -1

5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

y = -1

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

x = -14

8 0

2 years ago

A map of New York has a scale of 1/2 inch : 5 miles. Cindy knows the

saveliy_v [14]

Answer:

8.5 inches

Step-by-step explanation:

1/2 in = 5 miles