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3 years ago

Solve the proportion using cross products. Round to the nearest hundredth if necessary. 0.5/5 = 0.03/n

2 answers:

7 0

$\dfrac{0.5}{5}=\dfrac{0.03}{n}\ \ \ |\text{cross multiply}\\\\0.5\cdot n=5\cdot0.03\\\\0.5n=0.15\ \ \ |\cdot2\\\\n=0.3$

vampirchik [111]3 years ago

5 0

Answer:

n = 0.3

Step-by-step explanation:

To solve the proportion using cross products, we will follow the steps below;

$\frac{0.5}{5}$ = $\frac{0.03}{n}$

Cross - multiply

0.5 × n = 0.03×5

0.5n = 0.15

Divide both-side of the equation by 0.5

$\frac{0.5 n}{0.5}$ = $\frac{0.15}{0.5}$

(On the left-hand side of the equation, 0.5 at the numerator will be cancel-out by 0.5 at the denominator leaving us with just n while on the right-hand side of the equation 0.15 will be divided by 0.5)

n = 0.3

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A photograph is reduced by a scale factor of 2/3. If the original length of the photograph was 6 inches, what is the length of t

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The answer is c, 4 inches
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3 years ago

Find the area between the graph of the function and the x-axis over the given interval, if possible.

vodomira [7]

Answer:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

$A = \int_{-\infty}^1 \frac{5}{(x-2)^2}$

For this case we can use the following substitution $u = x-2$ and we have $dx = du$

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And if we solve the integral we got:

$A= -\frac{5}{u} \Big|_a^b$

And we can rewrite the expression again in terms of x and we got:

$A = -\frac{5}{x-2} \Big|_{-\infty}^1$

And we can solve this using the fundamental theorem of calculus like this:

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3 years ago

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2 years ago

A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible length

zlopas [31]

Answer:

Therefore, the possible lengths (in whole inches) for the third side is

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Step-by-step explanation:

For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.

Hence:

She has two sides of length 18 inches and 27 inches

Let the third side = x

Hence:

a) 18 + 27 > x

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b) 18 + x > 27

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Therefore, the possible lengths (in whole inches) for the third side is

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3 years ago

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xxTIMURxx [149]

Answer:

See explanation

Step-by-step explanation:

Assuming the given polynomial is

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6 0

3 years ago