Tara has 1 3/5yards of fabric. She needs

2 1/2

times this amount to make a shopping bag. How much fabric does Tara need to make the bag?

Answer:  cos²(θ) + sin(θ)sin(e)

Step-by-step explanation:

sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)

Note the following identities:

sin (90° - θ) = cos(x)

sin (180° + θ) = -sin(x)

Substitute those identities into the expression:

   cos(x)cos(x)  -  -sin(x)sin(e)

=  cos²(x) + sin(x)sin(e)

b = 4√3

using Pythagoras' identity in the given triangle

c² = a² + b² ( substitute c = 2b and a = 12 into the equation )

(2b)² = 12² + b²

4b² = 144 + b² ( subtract b² from both sides )

4b² - b² = 144

3b² = 144 ( divide both sides by 3 )

b² = 48 ( take the square root of both sides )

b = √48 = √( 16 × 3 ) = √16 × √3 = 4√3 ' exact value '

The probability that the person chosen is a boy is 14/27.

Number of girls = 13

Number of boys = 14

Total students = 27

What is probability?

Probability is a measure of the likelihood of occurrence of an event.

P(event) = Favorable outcomes / total outcomes

Favourable outcomes = 14 because there are 14 boys

Total outcomes =27

So, the probability that the person chosen is a boy will be given by:

P(boy)=14/27

So, the probability that the person chosen is a boy is 14/27.

Hence, the probability that the person chosen is a boy is 14/27.

To get more about probability visit:

brainly.com/question/24756209

Answer:

E

Step-by-step explanation:

It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.

Answer:

1).

7, rational

2).

2.36 (repeating), irrational

3).

4).