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3 years ago

What is the exact value of cos 45° as found on the unit circle?

1 answer:

Ber [7]3 years ago

4 0

The exact value of cos 45 as per the special triangle would be

Cos 45 = 1/✔️2

Rationalizing the denominator gives

✔️2/2 = 0.707.

You might be interested in

Evaluate this exponential expression.

Levart [38]

Answer:

$(-27)^\dfrac{2}{3}$ = 9

Step-by-step explanation:

Given that,

Asn expression : $(-27)^\dfrac{2}{3}$

We need to evaluate the above expression.

We know that, $(-3)^3=-27$

So,

$(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}$

$=(-3)^2\\\\=-3\times -3\\\\=9$

So, the value of $(-27)^\dfrac{2}{3}$ is 9. Hence, the correct option is (b).

8 0

3 years ago

Let f(x) = 5x + 4 and g(a) = a2 − 4a + 4 2 . Find the function value. g(−2)

natta225 [31]

Answer: 54

Step-by-step explanation:

replace "a" with "-2" in the g-equation

g(a) = a² - 4a + 42

g(-2) = (-2)² - 4(-2) + 42

= 4 + 8 + 42

= 54

7 0

3 years ago

A university has 28,980 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of st

anygoal [31]

5 0

3 years ago

A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What i

vichka [17]

Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × $(2x+4)$

Solve the equation for x, to find out the length

$9(2x+4)=72$

$2x+4=72/9$

$2x+4=8$

$2x=8-4$

$2x=4$

$x=4/2$

$x=2$

Length of the rectangle = $(2x+4)$

$2(2)+4$

$4+4=8$

5 0

3 years ago

Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different f

meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

4 0

2 years ago