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3 years ago

John is 6 feet 3 inches what is his height in centimeters

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)

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Verify the identity

Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

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

Simplifying, we get;

$\tan x \sec x=\tan x \sec x$

Thus, the identity is proved.

5 0

3 years ago

Solve for x: 5x+3y=15

Gnoma [55]

Answer:

y = (-5/3)x - 5

Step-by-step explanation:

5x + 3y = =15

slope intercept for is: y = mx + b

3y = -5x=15

divide both sides by 3:

y = (-5/3)x - 5

8 0

3 years ago

Find the values of a and b such that<br> x^2 + 3x + 4 = (x + a)^2+ b

sesenic [268]

Answer:

$x {}^{2} + 3x + 4 = (x + a) {}^{2} + b \\ x {}^{2} + 3x + 4 = x {}^{2} + 2ax + a {}^{2} + b \\ = x {}^{2} + a {}^{2} + 2ax + b \\ 2a = 3 \\ b = 4 \\ a = \frac{3}{2} \\ b = 4$

8 0

2 years ago

Explain the difference between using area and volume with 2-D and 3-D figures.

Marianna [84]

The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.

<h3>What is the difference between Area and Volume?</h3>

The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.