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3 years ago

Three ferry services A, B, and C leave from the same jetty at different intervals.

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

3 0

A) 10:00
b) 9:24
c)23:20

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What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A =

hjlf

Answer: A is 88

Step-by-step explanation:

Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

3 0

3 years ago

What is each power of i with its multiplicative inverse.

pentagon [3]

Answer:

1) multiplicative inverse of i = -i

2) Multiplicative inverse of i^2 = -1

3) Multiplicative inverse of i^3 = i

4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

$=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i$

So, multiplicative inverse of i = -i

2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

$1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i$

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

$=1/i^2.i^2\\=1/(-1)(-1)\\=1/1\\=1$

so, Multiplicative inverse of i^4 = 1

3 0

3 years ago

Please help me .....

fenix001 [56]

Answer:

Graph A

Step-by-step explanation:

The graph of a proportional relationship is a straight line through the origin. Only graph A goes through the origin.

7 0

3 years ago

Karen has 6 more than twice as many newspaper customers as when she started selling newspapers. She now has 98 customers. How ma

Black_prince [1.1K]

Answer:

46 customers

Step-by-step explanation:

If the number of original customers is n, we can write the following equation:

98 = 2n + 6

92 = 2n

46 = n

5 0

3 years ago

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into p

zaharov [31]

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

8 0

3 years ago