There are many ways to find the side length of a right triangle.
.. When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem. ..
When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa.
Answer:
20 ounces
Step-by-step explanation:
The line plot is attached below.
From the line plot, we can see that there is a total of 7 snack mix. Two of the snack mix weigh 1 and half (1.5) ounces each, one snack measure 2 and three quarter (2.75) ounce, three snack mix measure three and half (3.5) ounce each and one snack measure 3 and three quarter (3.75) ounce. Therefore the total weight of the snack mix is:
Total weight = (2 * 1.5) + (1 * 2.75) + (3 * 3.5) + (1 * 3.75)
Total weight = 20 ounces
Answer:
<h3>
13, 15, 17</h3>
Step-by-step explanation:
x - an integer then 2x + 1 is an odd number (the smallest one)
consecutive odd numbers increase by 2
so the next odd number (the middle number) is:
2x + 1 + 2 = 2x + 3
and the third (the largest) consecutive is:
2x + 3 + 2 = 2x + 5
the sum of the the two largest numbers is:
2x + 3 + 2x + 5
3 times the smallest number is:
3(2x + 1)
the sum of the two largest is seven less than three times the smallest, so:
2x + 3 + 2x + 5 = 3(2x + 1) - 7
4x + 8 = 6x + 3 - 7
-6x -6x
-2x + 8 = -4
-8 -8
-2x = -12
÷(-2) ÷(-2)
x = 6
2x+1 = 2•6+1 = 13
2x+3 = 2•6+3 = 15
2x+5 = 2•6+5 = 17
Check:
2x+3+2x+5 = 15+3+15+5 = 38
38+7 = 45
45÷3 = 15
Answer:
z=-15
Step-by-step explanation:
Multiply both sides by 3:
z=-15
Answer:
Step-by-step explanation:
This may seem a bit tricky because we are not given enough info really to plug in and solve for the rate. We are told, however, that we are interested in doubling whatever amount we invested. So it is up to us to pick an amount for P, then double it for A(t). Let's use P = 1000 so A(t) = 2000. Filling in then:
and

We need to get that r all by itself and right now it's quite buried. Begin by dividing both sides by 1000 to get

Now take the 60th root of both sides to get

Subtract 1 from both sides to get
and multiply both sides by 12 to finally get the rate in decimal form:
r = .13943328
To get that in a percent form, multiply it by 100:
r = 13.9%