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3 years ago

Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

8 0

It's the third choice: only intersecting

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A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?

Nookie1986 [14]

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

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

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

$\displaystyle \tan x=\frac{20}{32}=0.625$

Calculate x by using the inverse tangent:

$x=\arctan 0.625$

$x=32^\circ$

The angle of elevation of the sun is 32°

7 0

3 years ago

Estimate the sum 5.89 7 1/12

Agata [3.3K]

Answer:

Step-by-step explanation:

Estimate 5.89 to 6.

5.89 ≈ 6

Estinate 7 1/12 to 7.

7.083 ≈ 7

Estimate the sum.

7 + 6 = 13

3 0

3 years ago

Read 2 more answers

Suppose that F(x) = x^3 and G(X) = -3x^3. Which statement best compares the

Alik [6]

Answer:

D. The graph of G(x) is the graph of F(x) flipped over the y-axis and

stretched vertically.

Step-by-step explanation:

since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))

the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))

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3 years ago

How do you find the task manager on windows 10?

irakobra [83]

My favorite way is to hold down Ctrl, Alt, and Delete all at once. This will open up a screen on you computer where you can select Task Manager.

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4 years ago

Find dy/dx by implicit differentiation.

kow [346]

dy/dx by implicit differentiation is cos(πx)/sin(πy)

<h3>How to find dy/dx by implicit differentiation?</h3>

Since we have the equation

(sin(πx) + cos(πy)⁸ = 17, to find dy/dx, we differentiate implicitly.

So, [(sin(πx) + cos(πy)⁸ = 17]

d[(sin(πx) + cos(πy)⁸]/dx = d17/dx

d[(sin(πx) + cos(πy)⁸]/dx = 0

Let sin(πx) + cos(πy) = u

So, du⁸/dx = 0

du⁸/du × du/dx = 0

Since,

du⁸/du = 8u⁷ and

du/dx = d[sin(πx) + cos(πy)]/dx

= dsin(πx)/dx + dcos(πy)/dx

= dsin(πx)/dx + (dcos(πy)/dy × dy/dx)

= πcos(πx) - πsin(πy) × dy/dx

So, du⁸/dx = 0

du⁸/du × du/dx = 0

8u⁷ × [ πcos(πx) - πsin(πy) × dy/dx] = 0

8[(sin(πx) + cos(πy)]⁷ × (πcos(πx) - πsin(πy) × dy/dx) = 0

Since 8[(sin(πx) + cos(πy)]⁷ ≠ 0

(πcos(πx) - πsin(πy) × dy/dx) = 0

πcos(πx) = πsin(πy) × dy/dx

dy/dx = πcos(πx)/πsin(πy)

dy/dx = cos(πx)/sin(πy)

So, dy/dx by implicit differentiation is cos(πx)/sin(πy)

Learn more about implicit differentiation here:

brainly.com/question/25081524

#SPJ1

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2 years ago