Answer:

Step-by-step explanation:
we know that
The algebraic expression of the phrase"The product of 6 and the quantity 9 more then the number x is 253" is equal to the number 6 multiplied by the sum of x and 9 and this result is equal to 253
so

solve for x




Answer:
6^3 = 216 ( to the power of three )
Answer:
Step-by-step explanation:
48 *
/ 180 = 0.837758041
Answer:
<h2>Leah is actually wrong, because those rectangles are similar.</h2>
Step-by-step explanation:
Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.
In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.


As you can observe, both ratios are equal.
Therefore, those rectangles are congruent.
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:

Then, you can find the height:

Then, knowing that:

You can calculate the volume:
