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3 years ago

Trigonometric area formula: Area = 1/2 ab sin (c)

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

Trigonometric area formula is Area = $\frac{1}{2}\times absin(C)$

Where a and b are two sides of the triangle and C is the angle between these two sides.

As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle will be defined by the formula

Area = $\frac{1}{2}\times acsin(B)$

= $\frac{1}{2}\times acsin(B)$

= $\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)$

= 6√2×sin80°

= 6×(1.414)×0.9848

= 8.36 square units

≈ 8.4 square units

Option B is the answer.

Ber [7]3 years ago

4 0

Answer:

its probably 8.5

Step-by-step explanation:

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Consider a political discussion group consisting of 1010 Democrats, 1010 Republicans, and 55 Independents. Suppose that two gr

yan [13]

Answer:

The probability is $\frac{3}{20}$

Step-by-step explanation:

Consider a political discussion group consisting of 10 Democrats, 10 Republicans, and 5 Independents.

Total members of the group = $10+10+5=25$

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

$\frac{10}{25}\times \frac{9}{24}$

= $\frac{90}{600} =\frac{3}{20}$

So, the probability is $\frac{3}{20}$

3 0

3 years ago

15/2...7<br> if the three dots is one number what are all possibel numbers?

kvv77 [185]

Add a photo. this is confusing

8 0

3 years ago

Nina earns $15 for each yard she mows the table shows her earnings for 0, 1, 2 and 3 yards mowed how much will Nina earn if she

Paha777 [63]

Hello there!

According to the chart, you can see that for every lawn Nina mows, she earns $15. So it's increasing by 15 per yard.

Let's see if this will help:

1 yard= $15
6 yards = ???

I don't want to give you the answer right away, since I want you to learn how to do it. :)

I hope my hint helped!!

(If you're really stuck, take 6 times 15)!

Hope this helped!!

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8 0

3 years ago

The (greatest, least) of the common factors of 2 or more numbers is the (greatest, least) common factor of the numbers.

Liula [17]

Answer:

The greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

Step-by-step explanation:

As we know that

The greatest common factor of two or more whole numbers is the largest whole number that divides evenly into each of the numbers.

Thus, the greatest of the common factors of 2 or more numbers is the greatest common factor of the numbers.

For example, lets find the greatest common factor of $36$ and $54$ .

The possible factors of $36$ are:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

The possible factors of $54$ are:

1, 2, 3, 6, 9, 18, 27, and 54.

The common factors of 36 and 54 are:

$1, 2, 3, 6, 9, 18$

So, from the common factors, it is easy to figure out that 18 is the greatest common factor.

4 0

3 years ago

Elimination/subtraction

denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

3x - 10y=-70

-<u> 4x +9y = 63</u>

-x + y = 7

Now, for substitution, the equation must be set to a variable.

-x + y = 7

y = x + 7

Next, plug the equation in where applicable in another equation.

4x +9(x + 7) = 63

4x + 9x + 63 = 63

13x = 0

x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

3(0) - 10y=-70

0 - 10y = -70

10y = 70

y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

8 0

3 years ago

Read 2 more answers