Answer:
Percent Increase in measure of the side of a square = 30%
Step-by-step explanation:
Let the measure of the side of a square = s
Area of the square = (Side)²
= s²
If the area of the square is increased by 69%
Area of the new square = s² + 69% of s²
= s² + 0.69s²
= 1.69s²
Therefore, measure of the side of the new square = √(Area of the square)
= √(1.69s²)
= 1.3s
Measure of side of the old square = s
Therefore, increase in measure of the square = 1.3s - s
= 0.3s
Percent increase in the measure of the side of the square
= ![\frac{\text{Increase in measure}}{\text{Measure of the side of the original square}}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BIncrease%20in%20measure%7D%7D%7B%5Ctext%7BMeasure%20of%20the%20side%20of%20the%20original%20square%7D%7D%5Ctimes%20100)
= ![\frac{0.3s}{s}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B0.3s%7D%7Bs%7D%5Ctimes%20100)
= 30%
Ok since the amount in the bank account will decrease the rate of change is negative and the bank account itself is positive. And the rate of change is 145 and the constant or y - intercept is 369. As a linear equation it would look like y = -145x + 369.
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
<h3>What is volume of a shape?</h3>
Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
learn more on volume here: brainly.com/question/1578538