What is 72% as a fraction and decimal
1 answer:
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The correct answer is the first option, 23.1 miles.
Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.
Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get
Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.
For this problem, we'll let the height of the hot air balloon be
and its respective opposite angle be 
, and let the missing x-distance be 
, with its respective opposite angle 
. Note, we're solving for .
Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.
Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get
Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.
For this problem, we'll let the height of the hot air balloon be
Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
- (0, 2)
- (4, 1)
Finding the slope between two points
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.