All categories

3 years ago

A triangle has side lengths of 7 in., 9 in., and 11 in. Determine whether this is a right triangle and why.

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

8 0

Answer:

Not a right triangle. See below for my reasoning.

Step-by-step explanation:

If this is a right triangle, then the sum of the squares of the two shorter sides will equal the square of the longest side: 7^2 + 9^2 = 11^2 => 49 + 81 = 121 But this is false.

You might be interested in

Lines f and g are perpendicular. If the slope of line f is 4, what is the slope of line g?

pickupchik [31]

Sfgdsgfdsgfsgsdfgsdf

6 0

3 years ago

A bag contains 2 oatmeal cookies, 1

Alex Ar [27]

Answer:

1. 33.33%

2. 16.67%

Step-by-step explanation:

there's 6 cookies in total and 2 that are oatmeal so at first the ratio is 2:6 or 33.33% then you eat one so its now 1:6 or 16.67%

7 0

4 years ago

Read 2 more answers

A bag contains 10 blue, 6 green, and 4 red marbles. You choose a marble with one hand and then a second marble with the other ha

Sergeu [11.5K]

Answer:

6/95.

Step-by-step explanation:

Prob(red marble on the first choice) = 4/(10+6+4)

= 4/20

= 1/5.

Prob(green marble on the second draw) = 6/19.

Prob( read then a green)

= 1/5 * 6/19

= 6/95.

6 0

4 years ago

A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest

solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2

Step-by-step explanation:

The formula for simple interest is

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 % = 0.04

Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

$\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}$

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

$\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}$

OK.

4 0

4 years ago

The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is t

bulgar [2K]

Answer:31

Step-by-step explanation:

6 0

3 years ago