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3 years ago

ASAP what is the GCF between x3 y5 and x4 y2

Mathematics

2 answers:

EleoNora [17]3 years ago

5 0

Answer:

Step-by-step explanation:

x^3y^5: x, x, x, y, y, y, y, y

x^4y^2: x, x, x, x, y, y

GCF: x^3y^2

Ganezh [65]3 years ago

4 0

Answer: x3,y5= 1

x4,y2= 1

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What is the equation of a horizontal line that has a y-intercept of 3.5?

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First, recall that the equation of a line is

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4 0

3 years ago

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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3 years ago