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3 years ago

The equation h = 0.019s

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Answer:

s = 28.09 m/s

Step-by-step explanation:

Given that,

The equation that gives the height of the largest ocean waves when the wind speed is s knots is given by :

$h=0.019s^2$

We need to find the wind speed if the largest waves are 15 feet high.

Put h = 15 feet in the above equation as follows :

$15=0.019s^2\\\\s^2=\dfrac{15}{0.019}\\\\s=28.09\ m/s$

So, the speed of the wind is 28.09 m/s.

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

4 0

3 years ago

David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much

ankoles [38]

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0

3 years ago

HELPPPPPPPPPPPPPPPPPPP!!!

Zielflug [23.3K]

Answer:

x=-4

Step-by-step explanation:

(x+4) ^ (1/3) + (2x+8) ^ (1/3) = 0

Subtract (x+4) ^ (1/3) from each side

(x+4) ^ (1/3) - (x+4) ^ (1/3)+ (2x+8) ^ (1/3) = -(x+4) ^ (1/3)

(2x+8) ^ (1/3) = -(x+4) ^ (1/3)

Cube each side

(2x+8) ^ (1/3) ^3= -(x+4) ^ (1/3)^3

2x+8 = -(x+4)

Distribute the negative sign

2x+8 = -x -4

Add x to each side

2x+8 +x =-x+x-4

3x+8 = -4

Subtract 8 from each side

3x+8-8 =-4-8

3x =-12

Divide by 3

3x/3 = -12/3

x = -4

8 0

2 years ago

Read 2 more answers

37 1/2% of _________ is 36, Please help show work I am really confused.

klio [65]

Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:

Tool #1: 37-1/2 percent means 0.375

Tool #2: In math problems, "of" almost always means "times".

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

Your question says

   "37-1/2 percent of blank is 36".

Translate it with your tools:

      0.375 times blank = 36 .

Divide each side by 0.375:     Blank = 36 / 0.375 .

Now grab your pencil or your calculator, and find the value of that
fraction (do the division). Blank is equal to the value of the fraction.

To check your answer (find out whether it's correct):

Do exactly what the question says.

Multiply (0.375) times (your answer). If you get 36,
then your answer is correct. If not, it's not.

6 0

3 years ago

115.9% as decimal rounded to the thousands

vovikov84 [41]

115.9%
1.159
rounded is 1.159 still

4 0

3 years ago