Okay, the total is 69 units.
(3y)+(12)+(y+1)+(2y+3)+(11)=69
Combine like terms
6y+27=69
Subtract 27 from both sides.
69-27=42
Divide by 6 on both sides
42/6=7
y=7
Plug it into the length of AB
2(7)+3
14+3
length of AB=17
Answer:
3 pieces of strawberry cake
Step-by-step explanation:
Given data shows they took six pieces and then 9 more.
2/6 or 1/3 were strawberry cake.
1/3 of 9 = 3 pieces of strawberry cake
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer:
A) 2p
(because DC is twice the size of AB. Hence why they're in the ratio of 2:1)
B) p+q
(Start from B, go backs against the arrow to the left and get - p, then + q and + 2p. Simplify -p+q+2p)
Hope this helps!
