<span>Sample Answer: My prediction was less than the actual count. Instead of multiplying the number squares by a guess for the average, estimate the pennies on the last square to help guide the estimate.</span>
Answer: 6in.^2
Step-by-step explanation:
Answer:
<u>After a 75% increase, it would become</u>
x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x
<u>After a 50% decrease, it would become</u>
1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = 
Because is less than x, the new amount would be less than the original.
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Answer:
<h2>x = 6.5 cm</h2>
Step-by-step explanation:
The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.
Use the Pythagorean theorem:
We have
Substitute:
<em>use (a + b)² = a² + 2ab + b²</em>
<em>subtract x² from both sides</em>
<em>subtract 216.09 from both sides</em>
<em>divide both sides by 29.4</em>
