MATHEMATICS HIGH SCHOOL

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.

Answers

Answer 1

Answer:

Answer:

The expression of h as function of x is h = $√((d + 5500) (d - 5500))$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $(AC)/(BC)$ = $(h)/(d)$

And sin Ф = $(AB)/(BC)$ = $(5500)/(d)$

∵, cos²Ф = 1 - sin²Ф

So, $((h)/(d))^(2)$ = $1 - ((5500)/(d))^(2)$

Or, $((h)/(d))^(2)$ = $((d^(2)- 5500^(2))/(d^(2)))$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^(2)- 5500^(2)}$

Or, h = $√((d + 5500) (d - 5500))$

Hence The expression of h as function of x is h = $√((d + 5500) (d - 5500))$ Answer

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In 1906 Americans consumed an average of 26.85 gallons of whole milk per year. By 1998 the average consumption was 8.32 gallons. What is the percent decrease in consumption of whole milk?

Answers

Answer: 69.01%

Step-by-step explanation:

In 1906 Americans consumed an average of 26.85 gallons of milk per year while by 1998 the average consumption was 8.32 gallons.

To get the percent decrease in consumption of whole milk goes thus:

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Answers

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Solve for x. 5(x−2 2/5)=−5.2 Enter your answer as a decimal or simplified mixed number in the box. x =

Answers

Answer:

x = 1.36

Step-by-step explanation:

Final answer:

To solve the equation '5(x-2 2/5)=-5.2', distribute the 5 across the (x-2 2/5) term, add 11 to each side, then divide by 5. This gives us x = 1.16.

Explanation:

The question is asking us to solve the equation 5(x-2 2/5)=-5.2 for x. To do this, we follow several steps:

First, we distribute the 5 across the (x-2 2/5) term. This gives us: 5x - 11 = -5.2
Next, add 11 to both sides of the equation in order to get the x term alone. This results in 5x = -5.2 + 11, which simplifies to 5x = 5.8
Lastly, we divide each side of the equation by 5 to solve for x. This leaves us with x = 5.8/5 = 1.16

Hence the solution to the equation is x = 1.16.

Learn more about Solving Equations here:

brainly.com/question/18322830

#SPJ3

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answer:

it's Truen

Step-by-step explanation:

a p l e x

State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.

Its True

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