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3 years ago

State if polygons are similar

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

Yes similar polygons are are two polygons with the same shape but not the same size

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On Halloween Kaleb scored 20 pieces of gummi candy. He got 3 times as much sugar candy and 6 times as much chocolate candy. How

myrzilka [38]

Answer:

200 pieces

Step-by-step explanation:

20+60+120=200

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3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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3 years ago

When adding 51.2 to a certain number, the sum is 56.05, as seen below. What number should go in the box to complete the addition

Rom4ik [11]

4.85 is the answer because if you subtract 51.2 from 56.05 you get your answer

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3 years ago

BRAINLIEST to correct answer!! (Ignore the answer already selected- I don’t know if it’s correct)

VMariaS [17]

Answer:

1.Factor numerator and denominator

2.reduce the fraction

3.rewrite any remaining expressions in the numerator an denominator

Step-by-step explanation:

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2 years ago