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Over [174]
3 years ago
9

1) How many triangles will be formed by 13 matchsticks?

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
1) 4 and one extra

2) 21
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I will give 5 points
ikadub [295]

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

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2 years ago
The area of a rectangle is 36 cm2. The length of the rectangle is 8 cm.
zhannawk [14.2K]
<span>What is the width of the rectangle? My answer is 32</span>
4 0
3 years ago
On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos.
zhannawk [14.2K]

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

One U.S. dollar = 19.61 Mexican pesos

a) 149.23 pesos = 149.23 pesos * One U.S. dollar per 19.61 Mexican pesos = 7.61 dollars

b) 63.64 dollars = 63.64 dollars *  19.61 Mexican pesos per dollar = 1247.98 pesos

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
Will give brainlest Please help
Alekssandra [29.7K]
The answer would be 48 √6
3 0
3 years ago
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out of 18 people in the glee club, 11 have dogs and 7 have cats. four people have both cats and dogs. how many club members have
Maslowich
Ans.\ 3\ people\ have\ only\ cats

6 0
3 years ago
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