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4 years ago

Find the slope of a line parallel to y = 1/2x+3

Mathematics

1 answer:

VashaNatasha [74]4 years ago

5 0

Y=mx+b
m=slope

paralell lines have the same slope

y=1/2x+3
m=slope=1/2

the slope of the paralelll line is 1/2

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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

5 0

3 years ago

Would 64, 32, and 24 inch perimeter make a triangle?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

the two smaller numbers added together need to be greater than or equal to the larger number

8 0

3 years ago

"Four times a number is no more than 36."

kow [346]

Answer:

Step-by-step explanation:

if we consider x as the number we can write this inequality:

4x ≤ 36

If we divide the two members by 4 we have:

x ≤ 9

7 0

3 years ago

PLEASE HELP ASAP!!!!!

attashe74 [19]

For this case what we must do is use the law of cosines.
We then have the following equation:
$c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (x)
$
Where,
a, b: sides of the triangle
x: angle between sides a and b.
Substituting values we have:
$c^2 = 90^2 + 75^2 - 2*90*75*cos(85)
$
Clearing the value of c we have:
$c = \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}$
Answer:
An expression that is equivalent to how many feet the oak trees are from each other is:
$c = \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}$

7 0

3 years ago

10. Which table represents a function?

pochemuha

C is the answer. (X) can’t be repeated

4 0

3 years ago