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BlackZzzverrR [31]

3 years ago

12

the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the dis

tance from the top of the flagpole to the ground.

1 answer:

gladu [14]3 years ago

4 0

You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.

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then add 4 to both sides to get x^2 + 4x + 4 = 6

Get the left hand side to the square formate: (x+2)^2 = 6

then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)

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Step-by-step explanation:

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3 years ago

Read 2 more answers

By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one mo

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Answer:

(a) $y = 0.025x+15$

(b) 18.5 minutes

(c) 450.4 minutes

Step-by-step explanation:

Given

$290\ minutes = \$22.25$

$360\ minutes = \$24.00$

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (290,22.25)$

$(x_2,y_2) = (360,24.00)$

So, we have:

$m = \frac{24.00 - 22.25}{360 - 290}$

$m = \frac{1.75}{70}$

Multiply through by 100

$m = \frac{1.75 * 100}{70 * 100}$

$m = \frac{175}{7000}$

Next, is to calculate the equation of the line using:

$y - y_1 = m(x - x_1)$

Recall that:

$(x_1,y_1) = (290,22.25)$

$m = \frac{175}{7000}$

$y - 22.25 = \frac{175}{7000}(x - 290)$

$y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290$

$y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}$

Add 22.25 to both sides

$y = \frac{175x}{7000} - \frac{5075}{700} + 22.25$

$y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}$

$y = \frac{175x}{7000} + \frac{10500}{700}$

$y = 0.025x+15$

(b) Solve for y when x = 140

$y = 0.025x+15$

Substitute 140 for x

$y = 0.025 * 140 + 15$

$y = 3.5 + 15$

$y = 18.5$

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Substitute 26.25 for y

$26.25 = 0.025x + 15$

Solve for 0.025x

$0.025x = 26.26 - 15$

$0.025x = 11.26$

Solve for x

$x = 11.26/0.025$

$x = 450.4\ minutes$

3 0

3 years ago

What atmospheric phenomenon prompted the 1948 smog episode in Donora, Pennsylvania?

enot [183]

<span>It was a phenomenon called thermal inversion, in which the change in temperature caused the air that was in the upper part of the atmosphere to fall, causing the death of 20 people and in turn health problems in another 7,000.</span>

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Answer:

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Step-by-step explanation:

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$600+8%=$648

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3 years ago