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gtnhenbr [62]
2 years ago
13

Which equation represents the rectangular form of r= 8?

Mathematics
2 answers:
fiasKO [112]2 years ago
8 0

\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8

docker41 [41]2 years ago
3 0

Answer:

B

Step-by-step explanation:

put both sides under square root.

x^2 + y^2 = 64

sqrt ( x^2 + y^2 ) = sqrt(64)

x + y = 8

r = 8.

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Sholpan [36]

Answer:

-3

Step-by-step explanation:

Since you are subtracting a negative, it turns positive so it will be.

-4+1

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4 0
3 years ago
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If sales are $425,000, variable costs are 62% of sales, and operating income is $50,000, what is the contribution margin ratio?
Dmitry_Shevchenko [17]

In an internal operating income statement, the form is as such:

(1) Sales (or Revenue) - Total Variable Costs = Contribution Margin;

(2) Contribution Margin - Total Fixed Costs = Operating Income

and

(3) Contribution Margin Ratio = Contribution Margin/Sales

The first equation helps us out. Sales is the whole amount for this statement, or 100%. We know variable costs are 62% and the rest goes to the Cont. Margin.

100% - 68% = 32% (choice A)

4 0
3 years ago
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A website offers a coupon such that each customer has a
sweet-ann [11.9K]

Answer:

62.29%

Step-by-step explanation:

The probability of Aya being offered a coupon on at least one of the six days she visits the website is 100% minus the probability that she is not offered a coupon on any of the six days, which is described by a binomial probability with zero successes in six trials with a probability of succes p = 0.15.

P = 1 - (\frac{6!}{(6-0)!0!}* p^0*(1-p)^{6-0})\\P = 1 - (1* 1*(1-0.15)^{6})\\P=0.6229=62.29\%

The probability that Aya will be offered a coupon on at least one of the days she visits the website is 62.29%.

8 0
3 years ago
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Kevin is 333 times as old as Daniel. 444 years ago, Kevin was 555 times as old as Daniel. How old is Kevin now?
My name is Ann [436]

Let D be Daniel's present age, then we can represent Kevin's present age as 3D because Kevin is 3 times as old as Daniel.

We can write an expression for Daniel's age 4 years ago as D-4 and Kevin's age 4 years ago as 3D-4.

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3D-4=5\cdot(D-4)

Now let us solve our equation to find Daniel's present age.

3D-4=5D-20

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16=2D

D=\frac{16}{2}=8

Daniel's present age is 8 years. Now we will multiply 8 by 3 to get Kevin's present age as Kevin is 3 times old as Daniel.

\text{Kevin's present age}=8\cdot3=24

Therefore, Kevin is 24 years old now.  

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2 years ago
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Answer:

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