$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$

3 0

3 years ago

Diners frequently add a 15% tip when charging a meal to a credit card. What is the total amount charged if the cost of the mea

aksik [14]

Answer:

$40.25

Step-by-step explanation:

.15 x 35 = 5.25

35+ 5.25 = 40.25

Hope this helps!

7 0

3 years ago

Solve and graph: 7x-6>22<br>(pls explain your answer, im confused on this)

grandymaker [24]

Answer:

x>4

Step-by-step explanation:

Solving an inequality is very similar to solving an equation:

Given: 7x-6>22

Add 6 to both sides: 7x>28

Divide both side by 7: x>4

x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.

6 0

3 years ago

Arrange the expressions in increasing order of their values.

Arada [10]

Answer:

10^0*10^1-1,

10^0*10^1*1^10,

10^0+10^1*1^10,10^0+10^1+1^10

Step-by-step explanation:

3 0

2 years ago

Type of graph that shows a fun and interesting way to show data but it is not very accurate​

Type of graph that shows a fun and interesting way to show data but it is not very accurate