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2 years ago

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Mathematics

1 answer:

Paladinen [302]2 years ago

8 0

Answer:

x=30 because if you look across from x the angle is 30 degrees.

Step-by-step explanation:

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Nate paid $13.25 for a shirt. This amount includes a sales tax of 6%. What was the cost of the shirt before tax?

kolbaska11 [484]

12.45
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7 0

2 years ago

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Find the missing side lengths. Leave your answer as radicals in simplest form.

nika2105 [10]

$\sqrt{2$ Answer:

Step-by-step explanation:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/ $\sqrt{2$ =x/2 $\sqrt{2$

do cross multiplication

x $\sqrt{2$ = $\sqrt{2$ * $\sqrt{2$

x $\sqrt{2$ =2

x=2/ $\sqrt{2$

x= $\sqrt{2$

pythagoras theorem

a^2+b^2=c^2

( $\sqrt{2$ )^2+y^2=(2 $\sqrt{2$ )^2

2+y^2=8

y^2=8-2

y= $\sqrt{6$

7 0

3 years ago

Please help me answer this question

ratelena [41]

By the definition of the hyperbolic function tanh x, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

<h3>Hyperbolic functions & Proof of identities </h3>

By definition

$tanh \ x=\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}}$

Then,

$\frac{1-tanh \ x}{1 + tanh \ x}=\frac{1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }{1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

$=1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} \div (1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} })$

$=\frac{e^{x} +e^{-x}-(e^{x} -e^{-x})}{e^{x} +e^{-x}} \div (\frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} })$

$=\frac{e^{x} +e^{-x}-e^{x} +e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

$=\frac{e^{-x}+e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \div \frac{2e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \times \frac{e^{x} +e^{-x}}{2e^{x}}$

$=\frac{2e^{-x}}{1} \times \frac{1}{2e^{x}}$

$=\frac{2e^{-x}}{2e^{x}}$

$=\frac{e^{-x}}{e^{x}}$
$=e^{-x} \times \frac{1}{e^{x}}$

$= e^{-x} \times e^{-x}$

$= e^{-x+-x}$

$= e^{-x-x}$

$= e^{-2x}$

Hence, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

Learn more on Proof of Identities here: brainly.com/question/2561079

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6 0

2 years ago

A shipment of 10 computers contains 2 with defects. Find the probability that a sample of size 2, drawn from the 10, will not

Mrrafil [7]

Answer:

$\frac{28}{45} .$

Step-by-step explanation:

way_1:

according to the condition the probability for the 1st computer is 8/10=4/5;

for the 2d computer is 7/9. Then the final probability is P=4/5 * 7/9=28/45;

way_2:

the required probability can be calculated according the formula:

$P=\frac{no-cases}{total-cases};$

then

$P=\frac{C^2_8}{C^2_{10}} =\frac{2!8!8!}{2!6!10!}=\frac{28}{45} .$

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1 year ago

Which statement best describes the value of square root of 8?

Radda [10]

Answer:

I think A but if im wrong tell me sorry if it wrong

Step-by-step explanation:

5 0

2 years ago

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