Factor the Greatest Common Factor 6x+12

Mathematics

1 answer:

Volgvan3 years ago

4 0

Answer:

6 is the greatest common factor

Step-by-step explanation:

6 goes into 6 once evenly

6 goes into 12 twice evenly

6(x + 2)

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A charity gala is held in a hotel ballroom each year. The cost is $150 for the ballroom and an

Serga [27]

Answer: x=100$

Step-by-step explanation:

use the slope formula

y=mx+b

plug in what you have

y=2400, m=22.50x, b=150

solve for x

2400=22.50x+150

subtract 150 from both sides

2250=22.50x

divide 22.50 x from both sides

x=100 people

don't forget your units :)

5 0

3 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

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:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

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:

$\displaystyle \tan 82^\circ=\frac{h}{100}$