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xxTIMURxx [149]
3 years ago
8

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

c^2=a^2+b^2

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.

Her total distance traveled is 16 + 12 = 28 miles

Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.

We can calculate the length of his route as:

c=\sqrt{16^2+12^2}

c=\sqrt{256+144}=\sqrt{400}=20

c = 20 miles

The difference between their traveled lengths is 28 - 20 = 8 miles

Jane traveled 8 miles farther then her trainer

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Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
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<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

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4 0
2 years ago
Please help! I keep on getting the wrong answer!
valentina_108 [34]

Answer:

CODE: 1977.98

Step-by-step explanation:

A.

(To get the closest answer, round the circumference to the nearest ten thousandth.)

C = 2(3.14)r                      Circumference formula: C = 2πr

C = 2(3.14)(3)

C = 18.84

B.

A = (3.14)r²

A = (3.14)(3)²

A = (3.14)(9)

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C. (It's asking for the circumference.)

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C ≈ 364.24

D. (It's a linear pair, which is 180 degrees.)

4x + 2x = 180

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m∠ABD = 4(30)

m∠ABD = 120°

E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)

x + 7 = 3x - 21

28 = 2x

14 = x

F. (x = 14)

m∠JHK = 3x - 21

m∠JHK = 3(14) - 21

m∠JHK = 42 - 21

m∠JHK = 21°

G. (Supplementary - two angles that add up to 180 degrees.)

180 - 84

= 96°

CODE: E(C - D) - F(G - B) - A

CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84

CODE: 14(244.24) - 21(67.74) - 18.84

CODE: 3419.36 - 1422.54 - 18.84

CODE: 1977.98

8 0
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