HELP If 45 cookies will server 15 students. How many cookies are needed 30 students?

Mathematics

2 answers:

katrin2010 [14]2 years ago

5 0

90 cookies will be needed for 30 students

ivann1987 [24]2 years ago

4 0

If 45 cookies serve 15 students, and you need to find how many cookies will serve 30 students, simply multiply 45 by 2 which will give you 90

90 cookies serve 30 students

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What is cos theta when sin theta = sqrt 2/3

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Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$