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2 years ago

Find all solutions to the equation secx(2 cosx-sqrt 2)=0

Mathematics

2 answers:

Lisa [10]2 years ago

7 0

We are given with the equation <span>secx(2 cosx-sqrt 2) = 0</span>

ollegr [7]2 years ago

6 0

Hello,

We suppose x≠+/-π/2.

2cos x - √2=0
==>cos x=√2/2
==>x= π/4 or x=3π/4 (modulo 2π)

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a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con

jolli1 [7]

The volume $V_c$ of a cone with base radius $r_c$ and height $h_c$ is

$V_c = \dfrac{1}{3}\pi r_c^2 h_c$

Similarly, the volume $V_s$ of a sphere with radius $r_s$ is

$V_s = \dfrac{4}{3}\pi r_s^3$

We know that $V_c=V_s$ and that $h_c=96$

So, we can set up the following equation:

$\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3$

We can simplify the common denominator 3, and pi appearing on both sides:

$96r_c^2=4r_s^3$

We can divide both sides by 4:

$24r_c^2=r_s^3$

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0

3 years ago

You have 2 quarts of orange juice and 1 pint of cranberry juice to make a fruit punch.then you use 1 quart more of ginger ale th

Oliga [24]

Convert everything to pints and add them up.
1 quart is 2 pints
4 pints of OJ+1 pint of CJ+(2+4) pints of GA= 11 pints of fruit punch

3 0

3 years ago

Mrs. Jacobs is making several batches of cookies and is using 84 total ounces of chips. The cookies have chocolate chips and pea

WARRIOR [948]

The ounces of chocolate chips used by Mrs Jacob is 70 ounce

<em><u>Solution:</u></em>

Given that Jacob is making several batches of cookies and is using 84 total ounces of chips

Let "c" be the ounces of chocolate chips

Let "p" be the ounces of peanut butter chips

To find: ounces of chocolate chips used by Mrs Jacob

Given that There are 5 times as many ounces of chocolate chips as peanut butter chips

<em><u>Thus we can frame a equation as:</u></em>

ounces of chocolate chips = 5 x ounces of peanut butter chips

c = 5p -------- eqn 1

Jacob used 84 total ounces of chip. Therefore,

ounces of chocolate chips + ounces of peanut butter chips = 84

c + p = 84 ---- eqn 2

Substitute eqn 1 in eqn 2

5p + p = 84

6p = 84

Substitute p = 14 in eqn 1

c = 5(14) = 70

Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce

8 0

3 years ago

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

andre [41]

Answer:

look at this

Step-by-step explanation:

Download pdf

5 0

2 years ago

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kobusy [5.1K]

Answer:

y=8x-3

Step-by-step explanation:

8 0

3 years ago