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3 years ago

Are rhesw ratios equivalent 6:2 and 7:3

Mathematics

1 answer:

morpeh [17]3 years ago

3 0

Answer:

No, they are not equivalent.

Step-by-step explanation:

There are two ways to check this.

1. You can multiply the means and extremes. If the ratios are equivalent, they products of the means and extremes will be equal.

Multiply the means (2 and 7) and multiply the extremes (6 and 3)

14 ≠ 18

2. You could also check these by dividing them.

6/2 = 7/3

3 ≠ 2.3

Since neither one of the checks are correct, 6:2 and 7:3 are not equivalent.

I really hope this helps =)

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DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

The value of Adam's model railway is $550.

garik1379 [7]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is $A_o=\$550$

the value increases exponentially with the rate of $r\%$

Time period $t=5\ years$

Final amount $A=\$736$

Exponential growth is given by

$\Rightarrow A=A_o(1+r)^t$

Putting values

$\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338$

$\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%$

Option (c) is correct

6 0

3 years ago

What's the reciprocal of 1/7

Nonamiya [84]

The answer is 7/1, when you want to know a reciprocal, all you do to the fraction is flip it around. Hope this Helps!

8 0

3 years ago

Read 2 more answers

Find the 60th term of the arithmetic sequence 4,-1,-6-

kobusy [5.1K]

Answer:

-291

Step-by-step explanation:

The common difference is -5

So the 60th term of the arithmetic sequence is

4+(60-1)×-5

=4+59×-5

=4+-295

=-291

8 0

3 years ago

Compare the numbers by entering <, >, or =.

Andrew [12]

Your answer would be:
596.64 = 596.640
Reasoning= If you just take away the zero from 596.640 you would have the same answer as 596.64. Now if you add a zero to 596.64 you still would have the same answer, therefore they are equal.
Hope this helps! (:

6 0

3 years ago