Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
2 answers:
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In the given question, we have to perform this experiment and test if the inequality is true or not.
Adding the same value to both sides of the inequality will not change the inequality sign
<h3>Inequality</h3>data;
- 4 < 7
- 11 > - 2
- -4 < - 2
- -8 < 8
In the first case, we would do follow the process
In the second case;
In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.
Learn more on inequality here;
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Answer:
88.7°
Step-by-step explanation:
First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:
∠A = ?
∠B = ?
∠C = 90
a = 346346
b = 7777
c = ?
Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)
c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:
a² + b² = c²
Rearranged:
c = ±
Substitute a and b:
c = ±
Comes out to ~346433.3 meters.
Now if we use the Law of Sines:
=
=
We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:
=
Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:
=
Cross Multiply to get rid of the fractions:
346346 = 346433.3 * sin(A)
Divide:
= sin(A)
Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:
arcsin( ) = ∠A = 88.7°
Answer:
Step-by-step explanation:
Considering the complete question attached in figure.
Consider
Hadley = x
Parker = y
Greenville = z
Distance between Greenville and Parker = yz = 29
Given that distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville.
xz = yz -13 --- (1)
Distance between hardley and greenville = xz = ?
From (1)
xz = 29 -13
xz = 16 miles
So Alan is right that distance between Hadley and Greenville is 16 miles
