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Tom [10]
3 years ago
5

Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

y = \sqrt{ 900 - x\²

Step-by-step explanation:

In the complete question, the area of  the roller coaster is:

x\² + y^2 = 900

Required

Solve for y

We have:

x\² + y^2 = 900

Subtract x\² from both sides

y^2 = 900 - x\²

Take positive roots of both sides

y = \sqrt{ 900 - x\²

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Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 1
erastova [34]

Answer:

D. 85.7%

Step-by-step explanation:

its figuring out the percentage decrease

so you would go

35-5= 30

30/35 x 100 = 85.7

8 0
4 years ago
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What will be the result of substituting 2 for x in both expressions below?
Gnom [1K]

Answer: pretty sure the answer is A

Step-by-step explanation:

1/2(2) + 4 = 1 + 4 = 5

2 + 6 - 1/2(2) -2 = 8 - 1 - 2 = 5

3 0
3 years ago
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Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost
-BARSIC- [3]

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

7 0
3 years ago
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The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length
Fudgin [204]

Let's call the width of our rectangle w and the length l. We can say l = w + 4, since the length is equal to 4 cm greater than the width.


Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or P = 2l + 2w. To solve this problem, we can substitute in the information we know, as shown below:

150 = 2(w + 4) + 2w

150 = 4w + 8

142 = 4w

w = \frac{71}{2}


Now, we can substitute in the width we found into the formula for length, which is l = w + 4:

l = \frac{71}{2} + 4

l = \frac{79}{2}


The width of our rectangle is \boxed{\frac{71}{2} \,\, \textrm{cm}} cm and the length of our rectangle is \boxed{\frac{79}{2} \,\, \textrm{cm}}

8 0
3 years ago
Use the formula for compound amount:$14,800 at 6% compounded semiannually for 4 years
GalinKa [24]

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating compound amount

A=P(1+\frac{r}{n})^{nt}

where

A = final compounded amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

STEP 2: Write the given data

Semiannually means that n will be 2

P=14,800,r=\frac{6}{100}=0.06,n=2,t=4

STEP 3: Calculate the compound amount

\begin{gathered} A=14800(1+\frac{0.06}{2})^{2\times4}\Rightarrow A=14800(1+0.03)^{2\times4} \\ A=14800(1.03)^8 \\ A=14800\times1.266770081 \\ A=\text{\$}18,748.1972 \end{gathered}

Hence, the compounded amount after 4 years is $18,748.1972

6 0
1 year ago
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