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3 years ago

What is the complimentary angle of 72 degrees

Mathematics

2 answers:

Stella [2.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

If sum of two angles add up to 90°, then two angles are called complementary angles

Let the unknown angle be x

x + 72° = 90°

x = 90° - 72°

x = 18°

Irina18 [472]3 years ago

4 0

Answer: 18°

Step-by-step explanation:

Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say

x + y = 90°

Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°

i.e 90° - 72° = 18°

Thus, the complimentary angle of 72° is 18°

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3 years ago

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Answer:

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3 years ago

Finish this sentence: "To find the surface area of a prism we need to find the _______ of all of the sides and _____ them togeth

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Step-by-step explanation:

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8 0

3 years ago

Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

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And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

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The perimeter of this rectangle is P = 2W + 2L, or

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3 years ago