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3 years ago

Each number in a pattern is called a ?

Mathematics

1 answer:

Maru [420]3 years ago

5 0

Each number in the pattern is called a term. The value added each time is called the common difference

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Given the following, find the values of all six trig functions of x.

MakcuM [25]

What is csc in the first one?

4 0

3 years ago

The area of a triangle is 14 square units it has a side length of a and b what is the value of b if a is 1/5

Ilia_Sergeevich [38]

Answer:

140 ft

Step-by-step explanation:

Given data

Area= 14 square feet

Height a = 1/5 ft

Base b=????

We know that the area of a triangle is given as

Area= (1/2)B*H

substitute

14= 1/2* B* 1/5

14= B/10

cross multiply

B= 140

Hence the base is 140 ft

7 0

3 years ago

NEED HELP HERE ASAP 6. Find the cube roots of 27(cos 330° + i sin 330°).

VLD [36.1K]

we have that

the cube roots of 27(cos 330° + i sin 330°) will be
∛[27(cos 330° + i sin 330°)]

we know that
e^(ix)=cos x + isinx
therefore
∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]

z1=3[cos 110° + i sin 110°]

cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
therefore

z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]

z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]

the answer is

z1=3[cos 110° + i sin 110°]

z2=3[cos 230° + i sin 230°]

z3=3[cos 350° + i sin 350°]

7 0

3 years ago

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

ExtremeBDS [4]

Answer:

800 kph
600 kph

Step-by-step explanation:

Equation

Let s represent the speed of the faster plane. Then its travel time is ...

time = distance/speed = 3600/s

travel time for the slower plane is ...

time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

3600/(s -200) -3600/s = 1.5

Solution

Multiplying by (2/3)s(s -200), we get ...

2400(s) -2400(s -200) = s(s -200)

s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

(s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

Conclusion

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

Check

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0

2 years ago

IF CORRECT ILLL BIVE U BRAINLIEST NEED FAST PLS

Montano1993 [528]

Answer: The first one -4x-3<13

Step-by-step explanation: because they didn't really tell us what happened to the 3 just that the 3 disappeared and the 13 became 16

5 0

1 year ago