Answer:
Step-by-step explanation:
Answer:
- 65
Step-by-step explanation:
x + 140 + 105 = 180
x + 245 = 180
x = 180- 245 = - 65
<h3>
Answer: (-5, 2)</h3>
Explanation:
We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.
Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.
You will find the area of the 5 surfaces made of glass. There is a front, back, 2 sides, and the bottom. Each face is in the shape of a rectangle, so you will multiply the length by the width.
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504
Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
