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3 years ago

PLEASE HELP QUICK (13 points)

Mathematics

1 answer:

Kay [80]3 years ago

3 0

Answer:

Depends on your sales tax rate where you live.

Lets call your sales tax rate X%

then it would be multiplied b y the $850 and that would be added back to the $850.

Example:

If your sales tax rate were 10%

then it would be .10 x $850 =$85

Now add the $85 to the $850 and your total would be $945

P.S. Some localities offer sales tax free weekends for school supplies.

Step-by-step explanation:

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3 years ago

x axis is x = 4.00 - 7.00t2, with x in meters and t in seconds. (a) At what time and (b) where does the particle (momentarily) s

andrezito [222]

Answer:

(a) 0 s

(b) 4.00 m

(d) +0.76 s

Step-by-step explanation:

$x=4.00-7.00t^2$

It stops momentarily when the velocity, $v$ is 0. $v$ is the derivate of $x$ .

(a) $v=\frac{dx}{dt}=-14.00t$

Setting this to 0,

$-14.00t=0$

$t=0$

(b) Substitute this value for $t$ in $x$ to get its position.

$x=4.00-7.00\times0^2=4.00$ m

It passes the origin when $x=0$

$4.00-7.00t^2=0$

$7.00t^2=4$

$t^2=\frac{4}{7}$

$t=\pm\sqrt{\frac{4}{7}}$

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8 0

4 years ago

The lengths of two sides of a right angled triangle are 20 cm and 30 cm.

Naddik [55]

Answers:

Part (a) 10*sqrt(13)
Part (b) 10*sqrt(5)

Those values are exact. They approximate to:

10*sqrt(13) = 36.0555

10*sqrt(5) = 22.3607

====================================================

Explanation:

Part (a)

If the unknown third side is the hypotenuse then we need to find the value of c when a = 20 and b = 30.

Apply the pythagorean theorem

a^2 + b^2 = c^2

20^2 + 30^2 = c^2

400 + 900 = c^2

1300 = c^2

c^2 = 1300

c = sqrt(1300)

c = sqrt(100*13)

c = sqrt(100)*sqrt(13)

c = 10*sqrt(13) .... exact length

c = 36.0555 ...... approximate length

------------------------------------

Part (b)

If the third side is not the hypotenuse then that must mean c = 30 is the hypotenuse as this side is larger than the 20 cm side. The hypotenuse is always the longest side.

Let a = 20 be the known leg. Let's find the other unknown leg b using the pythagorean theorem.

a^2 + b^2 = c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 900-400

b^2 = 500

b = sqrt(500)

b = sqrt(100*5)

b = sqrt(100)*sqrt(5)

b = 10*sqrt(5) ..... exact length

b = 22.3607 ....... approximate length

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4 years ago

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