Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem =
=
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine =
=
=
So,
= 
= 
Sin90 = 1
sinB = 
B =
(
)
B = 57.5°
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Given:
1st term = 11
common difference = 6
f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.
Row
<span>
<span>
</span><span><span>
1 11 11
</span><span>2 11 6 17
</span>
<span>
3 17 6
23
</span>
<span>
4 23 6 29
</span>
<span>
5 29 6 35
</span>
<span>
6 35 6
41
</span>
<span>
7 41 6 47
</span>
<span>
8 47 6 53
</span>
<span>
9 53 6 59
</span>
<span>
10 59 6
65
</span>
<span>
11 65 6 71
</span>
<span>
12 71 6
77
</span>
<span>
13 77 6
83
</span>
<span>
14 83 6
89
</span>
<span>
15 89 6 95
</span>
<span>
16 95 6
101
</span>
<span>
17 101
6
107
</span>
<span>
18 107
6 113
</span></span></span>
5. The blue one is y >= 5x - 7
and green is y >= -0.65x + 3
6. y <= (4/5)x
y >= -(5/4)x
"Increased by" means to multiply.
First, change the percentage to a number.
% ⇒ # : %/100
120(%) (120 ÷ 100) = 1.2
Now, you multiply.
5x × 1.2 = 6x
So, your answer is 6x.