Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
Answer:

Step-by-step explanation:

We have to calculate the length of stack RM. This is a pyramid with a rectangular base. If TS = 12 cm, then OM = TS / 2 = 12 / 2 = 6 cm. And since we already know that RO = 15 cm, we will use the Pythagorean theorem: RM^2 = 15^2 + 6^2; RM^2 = 225 + 36 = 261; RM = sqrt ( 261 ) ; RM = 16.1555 ( or 16.2 rounded to the nearest tenth ). Answer: RM = 16.2 cm<span>.</span>
Answer:
<em>183</em>
Step-by-step explanation:
The answer above is correct, but I do want to elaborate on how to receive this answer;
This pattern takes an alternate of positive and negative numbers at a time. If you can see for each positive number, there is a negative consecutively. Imagine these values were all positive. What would then be the difference between each? 3 * 3 = 9, 9 * 3 = 27, 27 * 3 = 81, and so each number would be 3 times the other. Now let us go back to the state we have at hand, negative and positive numbers. 81 * 3 = 243, and as we alternate between negative and positive numbers, 243 should be positive as the previous number - 81, is negative. We have now received our 5th term!
The questions asks us to determine the sum of each of the terms however, so let us do so;

Hope that helps as well!