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2 years ago

14

The area of a right triangle is 49 square meters. The height is twice as long as the base. How long is the shorter leg of the tr

iangle

1 answer:

Ksenya-84 [330]2 years ago

4 0

a·b = 2·49

a = 2·b

Solve the equations.

a = 14 ∧ b = 7

The shorter leg is 7 meters.

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

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3 years ago

Need help with this math

Rudiy27

10,171.07 pesos

To every US dollar, it equal 18.84 pesos.

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3 years ago

11) A hoodie costs $39.00 and is on sale (discounted) for 35% off. How

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Answer:

$25.44

Step-by-step explanation:

35% of $39 is $13.65

$39-$13.65=$25.44

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3 years ago

99 POINTS!!!! WRONG ANSWER GETS REPORTED!

jeka94

This is the correct answer

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3 years ago

Read 2 more answers

X^2+6x-19=0 pls helpppp

USPshnik [31]

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

$x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3$

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2 years ago