Answer:
Option C:
Step-by-step explanation:
Hello!
The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
<h3>Solve for x</h3>
- ∠a + ∠b + ∠c = 180°
- (48 - x)° + (9x - 38)° + 90° = 180°
- 10° + 8x + 90° = 180°
- 8x = 180° - 90° - 10°
- 8x = 80°
- x = 10°
Now that we solved for x, we can plug it back into each equation to solve for each angle.
<h3>Angle A</h3>
<h3>Angle B</h3>
- 9x - 38°
- 9(10°) - 38°
- 90° - 38°
- 52°
<h3>Angle C</h3>
The answer is Option C:
Answer: 8.5%
7/82=0.0853
Multiply by 100 to get percentage
0.0853 x 100 = 8.53
Answer:
4.8
Step-by-step explanation:
![r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \:](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B108%7D%20%20%5C%5C%20%20%5C%5C%20r%20%3D%204.7622031559%20%5C%5C%20%20%5C%5C%20r%20%5Capprox%20%5C%3A%204.8%20%5C%3A%20)
Multiply every coordinate by the scale factor 3
(-1,2,0) ----> (-3,6,0) is the answer
Answer:
5 meters
Step-by-step explanation:
Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.
c = √( a² + b² )
c² = a² + b²
b² = c² - a²
b = √ ( c² - a² )
b = √ ( 13² - 12² )
b = 5 meters
Correct me if I'm wrong. I hope it helps.
