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lilavasa [31]
3 years ago
12

What is the multiplicative inverse of c/d? Explain how a number is related to its multiplicative inverse.

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

\frac{d}{c}

Step-by-step explanation:

The multiplicative inverse of a number n is \frac{1}{n}

The product of the number and its multiplicative inverse = 1

n × \frac{1}{n} = 1

Thus the multiplicative inverse of \frac{c}{d} is

\frac{1}{\frac{c}{d} } = \frac{d}{c}

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Please answer this in two minutes
diamong [38]

Answer:

366.6 mm²

Step-by-step explanation:

Step 1: find XY using the Law of sines.

Thus,

\frac{XY}{sin(W)} = \frac{WY}{sin(X)}

m < W = 180 - (70+43) (sum of angles in a triangle)

W = 180 - 113 = 67°

WY = 24 mm

X = 43°

XY = ?

\frac{XY}{sin(67)} = \frac{24}{sin(43)}

Cross multiply:

XY*sin(43) = 24*sin(67)

XY*0.68 = 24*0.92

Divide both sides by 0.68 to solve for XY

\frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68}

XY = 32.47

XY ≈ 32.5 mm

Step 2: find the area using the formula, ½*XY*WY*sin(Y).

Area = ½*32.5*24*sin(70)

Area = ½*32.5*24*0.94

= 32.5*12*0.94

Area = 366.6 mm² (nearest tenth)

6 0
3 years ago
If P(x) = ax 3 + bx - 3 and P(-1)-0, then the value of P(1) is:
sergey [27]

Answer:

(a) -6

Step-by-step explanation:

P(x) = ax^3 +bx - 3

  • P(-1) = -a-b-3 = 0
  • therefore a+b=-3
  • P(1) = a+b-3
  • P(1) = -3 - 3 = -6
  • (a)
7 0
3 years ago
the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
olga2289 [7]

Answer:

16 hours

Step-by-step explanation:

let t be time, n the number of computers and w the number of workers, then

t = \frac{kn}{w} ← k is the constant of variation

To find k use the condition n = 30, w = 6 and t = 10 , then

10 = \frac{30k}{6} ( multiply both sides by 6 )

60 = 30k ( divide both sides by 30 )

2 = k

t = \frac{2n}{w} ← equation of variation

When w = 5 and n = 40 , then

t = \frac{2(40)}{5} = \frac{80}{5} = 16 hours

3 0
2 years ago
Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an average of 12 paintings.
Jlenok [28]
The 7 out of ten adds up to 56 the last 3 add up to 36 which equals 92 divided by ten is 9.2 average
4 0
3 years ago
Read 2 more answers
A bus driver pays all tolls, using only nickels and dimes, by throwing one coin at a time into the mechanical toll collector.
lutik1710 [3]

Answer: a) An = An-1 + An-2

b) 55ways

Step-by-step explanation:

a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.

Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that

An = 5n cents

Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;

An-1 = 5( n-1)

Case 2: using a dime which is two 5 cents, the number of ways is given as;

An-2 = 5(n-2)

Summing up the number of ways, we have

An = An-1 + An-2

From the relation,

If n= 0, Ao= 1

n =1, A1= 1

b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)

From the relation, we have that

Ao = 1

A1 = 1

An =An-1 + An-2

Ao = 1

A1 = 1

A2 = A1+Ao = 1+1= 2

A3 = A2 + A1 = 3

A4 = A3+A2=5

A5=A4+A3=8

A6=A5+A4=13

A7 =A6+A5 = 21

A8= A7+A6= 34

A9= A8+A7= 55

So there are 55ways to pay 45cents.

4 0
2 years ago
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