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Effectus [21]
2 years ago
11

The number of students in a geometry class is four

Mathematics
1 answer:
stira [4]2 years ago
6 0

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

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(1+tanx)/(sinx+cosx)=secx
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\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
3 years ago
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Nikitich [7]

Answer:

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7 0
2 years ago
I need help with geomtry
Yuliya22 [10]

Answer:

40!

Step-by-step explanation:

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Answer:

BC=54, DE=27

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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