Answer:
(7 , 5)
Step-by-step explanation:
Add all the x-axis then divide by 3
7 + 3 + 11 = 21
21/3 = 7
Add all the y-axis then divide by 3
9 + 3 + 3 = 15
15/3 = 5
So answer will be (7,5)
Answer:
D) 8
Step-by-step explanation:
You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.
96 = 12x
/12 /12
8 = x
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Answer:
PE = 83 and Science = 71
Step-by-step explanation:
let P represent PE and S represent Science with P > S, then
P + S = 154 → (1)
P - S = 12 → (2)
Adding the 2 equations term by term eliminates S
2P = 166 ( divide both sides by 2 )
P = 83
Substitute P = 83 into (1)
83 + S = 154 ( subtract 83 from both sides )
S = 71
Hence PE mark = 83 and Science mark = 71
Answer:
Step-by-step explanation:
The area of the triangle is 4.5
Do 3 times 3 divided by 2 to get the area of triangle.
The area of the rectangle is 24
Do 8 times 3 to get the area of the rectangle.
