What is the answer to the problem (m-3)(-10)

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

Fittoniya [83]

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 ;

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

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

2 years ago

3,800 = 3.8 x 100 what is the missing exponent or factor

iris [78.8K]

Answer:

3,800 = 38 * 100

Step-by-step explanation:

3.8 * 100

= 380

38 * 100

= 3,800

There is no missing exponent or factor, it's just 3.8 needs to be multiplied by 10.

6 0

2 years ago

The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum h

BabaBlast [244]

Answer:

The maximum height of the projectile is 90 ft

Step-by-step explanation:

Here, we want to get the maximum height reached by the projectile

The answer here will be the y-coordinate value of the vertex form of the given equation

so firstly, we have to write the equation in the vertex form

We have this as;

y = -16t^2 + 64t + 26

That will be;

y = a(x-h)^2 + k

y = -16(x-2)^2 + 90

where the vertex of the equation is;

(-h,k)

K

in this case is 90 and thus, that is the maximum height of the projectile

8 0

2 years ago

Find the tenth term in the following geometric sequence. 8, 4, 2, 1, . . .

Marrrta [24]

Answer:

c) 0.0156

Step-by-step explanation:

The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...

a[n] = a[1]r^(n-1)

The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...

a[n] = 8(1/2)^(n-1)

The 10th term is then ...

a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512

a[10] = 0.015625 ≈ 0.0156

7 0

2 years ago

What Is the best way to describe an inequality?

andrew11 [14]

Answer:

Social inequality is the existence of unequal opportunities and rewards for different social positions or statuses within a group or society. Let's examine some causes and effects of poverty and test our knowledge with a quiz.

4 0

3 years ago