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3 years ago

Evaluate each expression for X =

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

No. x cannot equal 2 and 7

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The perimeter of a rectangle is 64 units. Can the length X of a rectangle be 20 units when it's width y is 11 units

Blababa [14]

Nope. Perimeter = sum of all sides

P = 20 + 11 + 20 + 11 = 62 and not 64

So, it is not possible.

4 0

2 years ago

Tangent is positive in quadrants I and IV only.<br>True or False

zhannawk [14.2K]

Answer:

The statement is false

Step-by-step explanation:

we know that

$tan(x)=\frac{sin(x)}{cos(x)}$

The tangent function will be positive when the sine function and the cosine function have the same sign

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

The statement is false

6 0

3 years ago

Read 2 more answers

Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4).

Jobisdone [24]

The answer is
<span>y = four thirdsx + 8
</span>

3 0

3 years ago

(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

3 years ago

You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find th

shutvik [7]

Answer:

<h3>The probability is </h3><h3> $\frac{3}{5}$ </h3>

Step-by-step explanation:

Green marbles = 4

Blue marbles = 6

Yellow marbles = 8

Red marbles = 2

$4 + 6 + 8 + 2 = 20 \: marbles$

The probability of drawing marble not yellow:

$4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5}$

Brainliest please.

5 0

2 years ago