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3 years ago

Write a real word problem that could be represented by the following equation

1 answer:

6 0

Joe has thirty dollars mary has 40+0.05 dollars. joe gets 0.05 of $x, and now has an equal amount of $ to mary. How much money is x

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A lighthouse that is 36 ft tall stands on the shore of lake michigan. Looking out from atop the lighthouse, a ship suddenly appe

UNO [17]

The distance (in miles) viewable to horizon of a lighthouse oh height h (in feet) is given by approximately

$\sqrt{ \frac{7h}{4} }$

Given that a<span> lighthouse that is 36 ft tall stands on the shore of Lake Michigan, the distance of the boat it can see on the horizon is given by approximately

</span> $\sqrt{ \frac{7\times36}{4} } = \sqrt{63} \approx7.94$ <span>
</span>

4 0

3 years ago

The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar

Amanda [17]

First we calculate the ambio rate from x = 0 to x = 15:
We have:
R = ((80-10) / (0-15))
R = -4.666666667
We now calculate for the entire interval:
from x = 0 to x = 20:
R = ((80-2) / (0-20))
R = -3.9
Answer:
What is the average rate of change over the entire slide?
R = -3.9
The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number?
The percentage difference is:
(-3.9 / -4.666666667) * (100) = 83.57142857%
100-83.57142857 = 16.42857143%

6 0

4 years ago

Zack sells full-grown ostriches for $925 and full-grown llamas for $890 each. Zack sold one less than twice as many llamas as os

larisa86 [58]

23.455 = 890 * (2x - 1) + 925x
23.455 = 1780x - 890 + 925x
23.455 = 2705x - 890
24.345 = 2705x
x = 9

3 0

3 years ago

A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0

3 years ago

Find the volume of x in the triangle shown below

Allushta [10]

Answer:

109°

Step-by-step explanation:

x+48+23=180

x=180-71

8 0

3 years ago

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