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2 years ago

I need help on my Iready plz:((((

Mathematics

1 answer:

Setler [38]2 years ago

3 0

Answer:

it is the 3rd one

Step-by-step explanation:

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(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3><u>Solution:</u></h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

5 0

2 years ago

Complete the following statement.<br><br> 20% of $55 = $____

Eva8 [605]

Answer:

$11

Step-by-step explanation:

Let's take 20% and convert it into a decimal, which is .20. Multiply that percentage by $55 (.20 * 55) and you get $11, which is the answer.

3 0

2 years ago

It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 12 lbs of walnuts? Enter the numeric value o

mote1985 [20]

Answer:

$55.20

Step-by-step explanation:

Create a proportion where x is the cost of 12 lbs of walnuts:

$\frac{3.45}{0.75}$ = $\frac{x}{12}$

Cross multiply and solve for x:

0.75x = 41.4

x = 55.2

So, for 12 lbs of walnuts, it will cost $55.20

8 0

2 years ago

Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps

frutty [35]

Answer:

There will be a total 40 jumps.

Step-by-step explanation:

Every jump a game piece makes measures $\frac{8}{9} = 0.889$ .

Now, the piece starts at point A = 7 and jumps to the right.

So, the piece will jump over B = 24 after $\frac{24 - 7}{0.889} = 19.122$ ≈ 20 complete jumps.

Then it switches direction to the left and the piece then stops at point A.

So, there will be a total (20 + 20) = 40 jumps. (Answer)

4 0

2 years ago

Picking a purple marble from a jar with 10 green and 10 purple marbles

sukhopar [10]

Answer:

9 purple 10 green

Step-by-step explanation:

3 0

2 years ago

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