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3 years ago

8

The velocity of a roller coaster as it moves down a hill is v=√v²+64h. where v is the initial velocity and h is the vertical dro

p in feet. the designer wants the coaster to have a velocity of 200 feet per second when it reaches the bottom of the hill. if the initial velocity of the coaster is 30 feet per second, how high should the designer make the hill?

1 answer:

brilliants [131]3 years ago

4 0

Answer: So required height is 124.22feets.

Step-by-step explanation:

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Nana76 [90]

Answer:

$365.37

Step-by-step explanation:

add the hours up which is 20+19.5=39.5

then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37

8 0

2 years ago

16.464 divided by 0.08

nikklg [1K]

Answer:

205.8

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area of Plot A can be represented

Ugo [173]

Step-by-step explanation:

Combine common terms

(3x²+5x²)+(7x-4x)+(-5+11)

8x²+3x+6

7 0

2 years ago

2/5 g+3h -6 when g=10 h=6

motikmotik

<h3>hello!</h3>

let's evaluate this expression

$\pmb{\displaystyle\frac{2}{5}g+3h-6 }$

$\pmb{\displaystyle\frac{2}{5} *10+3(6)-6}$

$\pmb{\displaystyle\frac{2}{5} *10+18-6}$

$\pmb{\displaystyle\frac{2}{5} *10+12}$

Multiply:

$\pmb{\displaystyle\frac{2}{5} *\frac{10}{1} =\frac{20}{5} =4}$

Final Step:-

$\pmb{4+12}$

$\pmb{16}$

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

5 0

2 years ago