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3 years ago

It takes Sarah 50 minutes to walk to her friend's house 1 3/4 miles away. What is her walking pace in miles per hour?

1 answer:

8 0

Divide 50 by 1 3/4 to get your answer for miles per minute then multiply that by sixty to get hours. then write it as _mph

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If tan x=.67, and cos x=.83, what is sin x

Alexxandr [17]

Answer:

0.56

Step-by-step explanation:

sin x

tan x is defined as -------------

cos x

and we can solve this for sin x: sin x = (cos x)(tan x)

which here is: sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)

7 0

3 years ago

F. one die is rolled 3 times. what is the chance of getting no 2's?

aniked [119]

6^3 = 216. When using chance, take the number of outcomes(six for a die) and raise it to the power of the number of repetitions

6 0

3 years ago

Please show your work and explain it.

Maru [420]

Answer:

$f(x)=\dfrac{x+2}{2(x-2)}$

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

$\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}$

Next we factor what we can so we can further simplify the rest of the equation:

$=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\$

We can now cancel out (x+2)

$=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}$

Next we factor out even more:

$=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}$

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

$=\dfrac{(x+2)(1)}{(x-2)(2)}$

And we can now simplify it to:

$=\dfrac{x+2}{2(x-2)}$

6 0

3 years ago

Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32

Lana71 [14]

Answer:

Step-by-step explanation:

Points A B C D and E are collinear.

$\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC = 50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}$

3 0

3 years ago

PLS HELP 40 POINTS

kupik [55]

Answer:

C. 5

Step-by-step explanation:

The area is the product of two dimensions.

If the ratio of sides is k, then the ratio of areas is k²

k² = 200/8
k² = 25
k = √25
k = 5

Correct choice is C

7 0

3 years ago