If sin (90° - α) = BC /CA,write down the ratio of sina.

Nicole is cooking pancakes. The recipe calls for 4 1/3 cups of milk. She accidentally put in 4 3/4 cups . How many extra cups di

Ugo [173]

4 3/4 - 4 1/3

= 4 9/12 - 4 4/12

= 5/12 <==== extra cup put in

3 0

3 years ago

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In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi

aksik [14]

1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?

6 0

3 years ago

D/d{cosec^-1(1+x²/2x)} is equal to

SIZIF [17.4K]

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

Let assume that

$\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

We know,

$\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}$

So, using this, we get

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)$

Now, we use Method of Substitution, So we substitute

$\red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}$

So, above expression can be rewritten as

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)$

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)$

$\rm\implies \:y = 2z$

$\bf\implies \:y = 2 {tan}^{ - 1}x$

So,

$\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x$

Thus,

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

$\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)$

$\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)$

$\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} }$

$\rm \: = \: \dfrac{2}{1 + {x}^{2} }$

<u>Hence, </u>

$\purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}$

<u>Hence, Option (d) is </u><u>correct.</u>

6 0

2 years ago

Trevor and Marissa together have 26 t shirt to sell if Marissa has 6 fewer t shirts than Trevor find how many t-shirts Trevor ha

Romashka-Z-Leto [24]

1) Set up an equation for the total, with T representing Trevor and M representing Marissa:

T + M = 26

2) Use the provided information related Marissa's t-shirts to Trevor's to solve for one variable at a time (in this case, T):

M = T-6

3) Substitute M with this equation into the initial, first equation:

T + (T-6) = 26

4) Combine like terms and isolate T:

T+T = 26 + 6

2T = 32

T = 16

5) Therefore, you now know that Trevor has 16 t-shirts. To find the number of t-shirts that Marissa has, simply plug in this amount for T into the equation that was already set up for M:

M = T - 6

M = 16 - 6

M = 10

Therefore, Trevor has 16 t-shirts and Marissa has 10 t-shirts.

Hope this helps, and don't forget to mark my answer as the Brainliest! :)

6 0

3 years ago

The route to an ancient pyramid is 79 miles long

Elanso [62]

If the speed is 26.33 miles per day. Then the number of miles you traveled on the 4 days will be 105.33 miles.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The route to an ancient pyramid is 79 miles long.

If you traveled the same amount of time for 3 days.

Then the speed will be

S = 79 / 3

S = 26.33 miles per day

Then the number of miles you traveled on the 4 day will be

26.33 = D / 4

D = 105.33 miles

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

5 0

1 year ago

If sin (90° - α) = BC /CA,write down the ratio of sina.​

If sin (90° - α) = BC /CA,write down the ratio of sina.