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3 years ago

9

Use the Pythagorean theorem to find each missing length to the nearest tenth

2 answers:

telo118 [61]3 years ago

3 0

Answer: 10.4

explanation: a^2 + b^2 = c^2
plug in 3 for a and 10 for b
3^2 + 10^2 =c^2
simplify to get
109 =c^2
take the square root of both sides
c = sqrt109 or 10.44030651

Elis [28]3 years ago

3 0

Answer:

c<u> </u><u>(</u><u>the</u><u> </u><u>hypotenuse</u><u>)</u><u> = 10.4 units</u>

Step-by-step explanation:

Start off by rearranging the original pythangorean theorem (a^2+b^2=c^2) by taking the square root of both sides so it is in the form of a distance formula solving for c(the hypotenuse).

c^2 will become |c| as length cannot be negative so (labeling an absolute value is negligible)

a^2+b^2 = c^2

c^2 = a^2+b^2

√(c^2) = √(a^2+b^2)

<em>c = √(a^2+b^2)</em>

Then substitute the given lengths, in this scenario, sides a and b.

After you substitute, just simplify.

c = √(3^2+10^2) = √(9+100) = √109 ≈ 10.4 units (nearest tenth)

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

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The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

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