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3 years ago

Which of the following is a complex number? a. -7 b. 2+√3 c. 4+9i d. π

Mathematics

2 answers:

Feliz [49]3 years ago

3 0

Hello,

Answer C
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scoundrel [369]3 years ago

3 0

Answer: C. 4+9i

Step-by-step explanation:

A combination of a real and an imaginary number is called complex number.

Since, - 7 is the negative integer and an integer is always the real number only therefore it can not be the complex number,

2+√3 is the irrational number which is only a real number therefore, it can not be the complex number,

In number 4+9i, 4 is the real number and 9i is the imaginary number, Therefore it is a complex number,

π is the irrational number and an irrational number is always a real number therefore it can be the complex number.

Thus, Option C is correct.

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How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?

andrew-mc [135]

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

7 0

3 years ago

Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie

dsp73

Answer:

Yes it would

Step-by-step explanation:

Lanie's room is in the shape of a parallelogram.

Lanie has a rectangular rug that is 6 feet wide and 10 feet long.

Area of a rectangle = Length × Width

Area of the rectangular rug = 10 feet × 6 feet

= 60 square feet

We are told that:

The floor of her room is shown below and has an area of 108 square feet.

Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.

7 0

3 years ago

-1/3+(-7/4) in simplist form

Airida [17]

Answer:

your answer will be $-\frac{25}{12}$

Step-by-step explanation:

hope this helps have a nice day :)

8 0

2 years ago

Read 2 more answers

Angle C has what measurement according to the protractor?

trasher [3.6K]

The answer is A.50 just take the test. and was write

5 0

3 years ago

1.1

solniwko [45]

Answer:

$Cost = 112.266$ cent/km

Step-by-step explanation:

Given

$Unit\ cost = R17.82/litre$

$Rate = 6.3litre/100km$

Required

The fuel cost in $cent\ per\ km$

This is calculated using:

$Cost = Unit\ cost * Rate$

$Cost = R17.82/litre * 6.3litre/100km$

$Cost = R17.82 * 6.3/100km$

$Cost = R1.12266/km$

Multiply by $100$ to get the cost in cents

$Cost = 1.12266 * 100$ cent/km

$Cost = 112.266$ cent/km

6 0

3 years ago