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allsm [11]
2 years ago
10

What two equivalent ratios for 30 to 6

Mathematics
1 answer:
alexgriva [62]2 years ago
5 0
Two equivalent ratios for 30 to 6 can be 15 to 3 or 45 to 9
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Prove that sinxtanx=1/cosx - cosx
maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}

Taking the RHS, note

\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}

Remember that

\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)

Therefore,

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

Once

\dfrac{\sin(x)}{\cos(x)} = \tan(x)

Then,

\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)

Hence, it is proved

5 0
3 years ago
How could you use coordinate geometry to prove that BC AD?
leva [86]

Answer:

3) Prove the lengths are the same.

Step-by-step explanation:

Congruent is a measure of the lengths of the sides not the slopes.

4 0
3 years ago
Which is the longest 2 km 25m 2500 cm or 3000 mm
MAVERICK [17]
2km=2 kilometer
kilo=1000 so 2 km=2000m

25m

2500cm
cm=centimeter=1/100 of a meter
so
2500cm=25m


mm=milimeter=1/1000 meter
so
3000mm=3m

so the longets is obviously 2000m or 2km
6 0
3 years ago
Read 2 more answers
On 12/31/18, Hite Industries reported retained earnings of $475,000 on its balance sheet, and it reported that it had $135,000 o
olganol [36]

Answer:

Dividends = $105000

So option (c) will be correct answer

Step-by-step explanation:

We have given that Retained earning on 12/31/18 is $475000

And retained earning on 12/31/18 is $445000

Net income = $135000

Change in retained income = $475000-$445000 = $30000

We have to find dividends

We know that dividends is given by

Dividends = net income - change in retained income = $135000-$30000 = $105000

So option (c) will be correct answer

7 0
3 years ago
There are 96 female staff in an office. If the ratio of male staff to female staff is 3:4, find the number of male staff​.
Alex

Answer:60 male staff

Step-by-step explanation:

Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.

4 0
3 years ago
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