Find the missing term (x^12)^5*(x^-2)^9___=(x^40)^5

1 answer:

6 0

(x^12)^5=x^(12*5)=x^60
(x^(-2))^9=x^(-18)
x^60*x^(-18)=x^(40) and we need to find x^a such that
x^(42)*x^a=x^(40)^5
x^a=x^(40)^5*x^(-42)
x^a=x^(200)x^(-42)
x^a=x^(200-42)
x^a=x^158
so the missing term is x^158

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Harman [31]

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Step-by-step explanation:

To polygons are said to be similar if all the corresponding angles of given polygons are equal.

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∠F=∠K

∠S=∠T

∠H=∠W

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7 0

3 years ago

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11. What is the length of the missing side, x?

Dimas [21]

Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

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180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

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x = 40 in

8 0

1 year ago

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miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

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10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $\frac{7}{10} * (250 pi)$ = 550 Feet.