MATHEMATICS COLLEGE

In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units

Answers

Answer 1

Answer:

The Law of Sines tells you

... sin(C)/c = sin(A)/a

... sin(C) = c·sin(A)/a . . . . multiply by c

... C = arcsin(c·sin(A)/a) . . take the inverse sine

Then

... sin(B)/b = sin(A)/a . . . . law of sines again

... b = a·sin(B)/sin(A) . . . . multiply by a·b/sin(A)

where B = 180° - A - C = 160° - C . . . . . . sum of angles in a triangle is 180°

Filling in the given values, we get

... C = arcsin(5.4·sin(20°)/3.3) ≈ 34.033° or 145.967°

Then

... B = 125.967° or 14.033°

and

... b = 3.3/sin(20°)·sin(125.967°) or 3.3/sin(20°)·sin(14.033°)

... b = 7.8 or 2.3 . . . units

The appropriate choice is

... 2.3 units and 7.8 units

Answer 2

Answer:

Answer:

C)2.3 units and 7.8 units

Step-by-step explanation:

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Identify the exponent in the term –3x 2 . A. 3 B. x C. 2 D. minus sign (–)

Answers

Answer:

Correct option is:

C. 2

Step-by-step explanation:

We have to find the exponent in the term -3x²

An exponent refers to the number of times a number is multiplied by itself.

Here, x is multiplied to itself 2 times

i.e. $x* x=x^2$

Hence, exponent in the term -3x² is:

So, the correct option is:

C. 2

The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 35 minutes?

Answers

Answer:

22 in

Step-by-step explanation:

It travels 35/60 ths of the complete circumference of a circle with r =6 in

diameter = 12 circumference = pi * d

35/ 60 * pi * 12 = ~22 inches

Giuseppe is studying shark attacks around the world and finds that most such attacks occur during the day. He concludes that sharks usually do not eat at night. This conclusion is A) not justified, since sharks can't tell day from night. B) justified, since he studied attacks from all around the world. C) not justified, since people usually swim in the ocean during the day. D) justified, assuming that the sharks finish eating their kills before sunset.

Answers

Answer:

C) not justified, since people usually swim in the ocean during the day.

Simplify 8X +7 - 2X -4

Answers

Answer:

6x + 3

Step-by-step explanation:

8x - 2x + 7 -4

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10x - 8y =4-5x + 3y = -9

Please solve with elimination i really need the help!!
please show work

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

Here, (10x - 8y = 4) and (- 5x + 3y = - 9) are two given equation

Now, Name the equation

10x - 8y = 4

take 2 as common we get

2(5x - 4y = 2)

5x - 4y = 2 ...(1)

- 5x + 3y = - 9 ...(2)

Now, Subtract (1) from (2)

5x - 4y = 2

- 5x + 3y = - 9

————————

- y = - 7

y = 7

Now,Put the value of y in equation (1) we get

5x - 4y = 2

5x - 4(7) = 2

5x - 28 = 2

5x = 28 + 2

5x = 30

x = 30÷5

x = 6

Thus,The value of xis6and yis7

FORVERIFICATIONONLY:

5x - 4y = 2

5(6) - 4(7) = 2

30 - 28 = 2

2 = 2

- 5x + 3y = - 9

- 5(6) + 3(7) = - 9

- 30 + 21 = - 9

-9=-9

Hence,L.H.S = R.H.S

-TheUnknownScientist

Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet 36 square feet

Answers

The area of Mr. Cole’s bedroom is82 square feet. Therefore, the correct answer is option B.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given figure can be divided into two rectangles.

One with the dimensions 10 ft by 5 ft.

Other with the dimensions 8 ft by 4t.

We know that, the area of a rectangle is Length×Width.

Here, area of a rectangle with the dimensions 10 ft by 5 ft is

$10*5=50$ square feet