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klio [65]
3 years ago
7

a crow flies to a point that is 1 mile east and 20 miles south of its starting point. how far does the crow fly?

Mathematics
2 answers:
Zarrin [17]3 years ago
7 0
Make it into a right Triangle then use the pythagorean theorem (a^2+b^2=c^2) to solve for C which will give you your answer.
skad [1K]3 years ago
5 0

Answer:

Crow flew 20.02 miles.

Step-by-step explanation:

A crow flies to a point in the east = 1 miles

Then it flies to a point in the south = 20 miles

Now we have to calculate the distance x between the crow and initial point.

Therefore, distance x = \sqrt{(\text{Distance of the crow in the east})^{2}+(\text{Distance of the crow in the south})^{2}}

[By Pythagoras theorem]

x = \sqrt{1^{2}+(20)^{2}}

  = \sqrt{1+400}

  = \sqrt{401}

  = 20.02 miles

Crow is 20.02 miles away.

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solmaris [256]

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In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

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1 year ago
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

3 0
2 years ago
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Aleks04 [339]

Answer:

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7 0
2 years ago
Read 2 more answers
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by
garik1379 [7]

Answer:

x^2+12x-220=0 -- Proved

x = 10\ \ \ x = -22

Step-by-step explanation:

Given

Volume = 924cm^3

Dimension: 4cm; (x+1)cm; (x+11)cm

Required

Show that x^2+12x-220=0

The volume is calculated as:

4 * (x + 1) * (x + 11) = 924

Open the brackets

(4x + 4) * (x + 11) = 924

4x^2 + 44x + 4x + 44 = 924

4x^2 + 48x+ 44 = 924

Collect Like Terms

4x^2 + 48x+ 44 - 924=0

4x^2 + 48x -880=0

Divide through by 4

\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0

x^2+12x-220=0

Solving further:

Expand the expression

x^2 + 22x - 10x - 220 = 0

Factorize:

x(x + 22) - 10(x + 22) = 0

(x - 10)(x + 22) = 0

Split:

x - 10 = 0;\ \ \ x + 22 = 0

x = 10\ \ \ x = -22

5 0
2 years ago
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