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2 years ago

15

A person is standing exactly 36 ft from a telephone pole. There is a 30 degree angle of elevation from the ground to the top of

the pole.
What is the height of the pole ?
A. 12 ft
B. 12 square root of 3 ft
C. 18 ft
D. 18 square root of 2 ft

1 answer:

valentinak56 [21]2 years ago

7 0

<span>B. 12 square root of 3 ft</span>

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on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on

klio [65]

Part 1)

we have

the scale is $1:100,000$

the distance on a map is $12\ cm$

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

$S=\frac{x}{y}$

In this part we have

$S=\frac{1}{100,000}$

$x=12\ cm$

Find the value of y

$y=\frac{x}{S}$

Substitute the values

$y=\frac{12}{(1/100,000)}$

$y=1,200,000\ cm$

Convert to kilometers

$y=12\ Km$

Part 2)

In this part we have

$S=\frac{1}{300,000}$

$y=12\ km$

Find the value of x

$x=S*y$

Substitute the values

$x=(1/300,000)*12$

$x=0.00004 Km$

Convert to centimeters

$x=4\ cm$

therefore

the answer is

The distance is $4\ cm$

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2 years ago

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A firm advertises for workers to address envelopes. Priscilla says she will work 100 hours. Herb will work for 80 hours. If each

snow_tiger [21]

I'm guessing 90 hours because if you add their hours together it'll be 180 if they work together it'll be like half the time which is 90

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2 years ago

(a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2

motikmotik

Answer: (a) r1(t) = <2cost , 0 , 2sint>

(b) <2cost , (1 - 12sint - 10cost)/8 , 2sint>

Step-by-step explanation:

x2+z2=4

a)

Now, in the xz plane, we know that y = 0...

So, x^2 + z^2 = 4 will simply be a circle centered at (0,0)..

This can be easily parameterized as

x = 2cos(t)

z = 2sin(t)

So, the required parameterization is :

r1(t) = <2cost , 0 , 2sint>

b)

Cylinder : x^2 + z^2 = 4

Plane : 5x+8y+6z=1

Easily enough, the x^2 + z^2 = 4 can again be parameterized as

x = 2cost , z = 2sint

With this, we can find y using plane equation...

5x+8y+6z=1

5(2cost) + 8y + 6(2sint) = 1

8y = 1 - 12sint - 10cost

y = (1 - 12sint - 10cost)/8

So, the parameterization is :

<2cost , (1 - 12sint - 10cost)/8 , 2sint>

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2 years ago

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

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2 years ago

a marathon is 26.2 miles. If Sally ran a marathon in 3 hours 3 minutes what was her approximate pace in minutes?

Tom [10]

Let's turn 3 hours and 3 minutes into minutes.

One hour=60×3=180+3=183

So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.

26.2÷183≈ 0.143

So, Sally ran 0.143 miles every minute.

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