Answer:
The solutions the equation 1 are -1.3 and 2. The solutions to equation 2 are -1 and 0.
Step-by-step explanation:
Isolate the absolute value for equation 1. Then, set two equations equal to 5 and -5.
3x - 1 = 5 and 3x - 1 = -5
Solve for x in both and you would get -1.3 and 2.
Do the same for equation 2.
2x + 1 = -1 and 2x + 1 = 1
Solve for x and you would get -1 and 0.
4 sodas if you buy a bag of popcorn, if you dont buy popcorn you can buy 6 sodas
Answer:
45 and 45
Step-by-step explanation:
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

Solving for h:

Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Answer: you got this
Step-by-step explanation: