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3 years ago

PlEASE ANSWER FAST!!!!!!!!!!!!

1 answer:

muminat3 years ago

7 0

<span>Diameter of a grain of sand = 2 x 10^{-4}

</span><span>Diameter of the average cell in the human body = 1 x 10^{-5}
</span>
Difference of diameter of grain of sand and cell of human body

= 2 x 10^{-4} - 1 x 10^{-5}

= $2 * 10^{-4} - 1 * 10^{-5} = ( \frac{2* 10^{-4}}{10^{-5}} - \frac{1*10^{-5}}{10^{-5}} )*10^{-5}$

= $(2*10^{-4-(-5)} - 1*10^{-5-(-5)})*10^{-5}$

= $(2*10^{-4+5}-1*10^{-5+5})*10^-5= (2*10^{1}-1*10^{0})*10^{-5}$

= $(2*10 - 1*1) *10^{-5} = (20 - 1)*10^{-5}$

= $19 * 10^{-5}$

= 19 × 10^{-5}

Hence, the diameter of a grain of sand is 19 × 10^{-5} longer than the diameter of the average cell of the human body.

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Marizza181 [45]

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3 years ago

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How

dlinn [17]

For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative

answer is shorter side=9 cm

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3 years ago

Paul sketched a right angel with legs of length a, b, and h. Then he writes an expression for the length of the hypotensure. Wha

MA_775_DIABLO [31]

Answer:

Paul might have written the expression $h^2=a^2+b^2$ .

Step-by-step explanation:

Given:

Length of the leg 1 = a

Length of the leg 2 = b

Hypotenuse = h

We need the expression Paul has written:

Solution:

Now we know that;

The figure sketched by Paul is a right angle triangle.

Now by Pythagoras Theorem which states that;

"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."

equation can be framed as;

$h^2=a^2+b^2$

Hence Paul might have written the expression $h^2=a^2+b^2$ .

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