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3 years ago

Help with figuring out the answer.

Mathematics

1 answer:

Colt1911 [192]3 years ago

5 0

it should be (in order from top to bottom)

115

hope this helps, sorry if not

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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

How many times does X squared minus 4X -12 cross the X axis

kolbaska11 [484]

We can solve this problem using discriminant.

x^2-4x-12's discriminant is

(-4)^2-4*-12=16+48 which is clearly larger than 0

This means that it crosses over the axes 2 times.

In case you don't know what discriminant is, its in equation ax^2+bx+c

the discriminant is b^2-4ac.

If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.

Hope this helped at least a little bit :D

4 0

3 years ago

Find the slope of the line

natta225 [31]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 1)

m = $\frac{1-4}{2+1}$ = $\frac{-3}{3}$ = - 1

4 0

3 years ago

Read 2 more answers

Which of these best describes the asthenosphere inside of the earth's mantle?

nordsb [41]

Hello there

1) asthenosphere lies below lithosphere and part of uppermantle.

it's highly viscous and behaves plastic.

it lies approximately 70-150 km below surface depending which . (50km below oceanic crust and 150km below continental crust)

2) 1/2 '4 =1/16 (4 is to the power of 1/2)

hope this helps

thank you

Best Regards Queen Z

8 0

3 years ago

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!

AnnZ [28]

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

$x_{vertex}= -b/2a$

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

$f(-13/4)= -9/8$

Then your expression for this quadratic should be:

$f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})$

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

7 0

2 years ago

Help with figuring out the answer.​

Help with figuring out the answer.