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3 years ago

10

a recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. a caterer wants to make enough lasagna to serve 110 peopl

e. how many pounds of tomatoes does he needs

1 answer:

Roman55 [17]3 years ago

5 0

To do this you want to divide 110 by 5 to get 22. Now you want to multiply 3 by 22. That means the caterer need 66 pounds of tomatoes.

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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

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3 years ago

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garri49 [273]

H is greater than or equal to 8

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3 years ago

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ra1l [238]

Answer:

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Step-by-step explanation:

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<u>Solve for h</u>

Now, we have ...

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Expanding the right side gives us ...

= 2(x^2 -2hx +h^2) +k

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Comparing x-terms, we see ...

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<u>Solve for k</u>

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Subtracting 8 we find k to be ...

k = 7 -8 = -1

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a +h +k = 2 +2 -1 = 3

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dybincka [34]

Answer:

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Answer:

cross out 4

Step-by-step explanation:

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