Well im not to sure about yours but mine say the answer is A
Answer:
Dawn has 32 pens.
Step-by-step explanation:
- Let No. of pens Alice has = A
- Let No. of pens Maurice has = M
- Let no of pens Paul has = P
- Let no. of pens Suzy has = S
- Let no of pens Dawn has = D
Given :
- A = 7M
- P = 2/3 (A + S)
- D = P + 12
- S = 1/2 M
- If S = 2 {Given}
- M = 4 [∵ S = 1/2 M → M = 2S = 2X(2) ]
- A = 28 [ ∵ A = 7M → A = 7 x 4 ]
- P = 20 [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
- D = 32 [ ∵ D = P + 12 → D = 20 + 12 ]
umm ,this is too long could you maybe putt it in smaller form so I can answer
In a parallelogram diagonals bisect each other,
=>AT=TX=>4y-2=14=>4y=14+2=>4y =16=>y=16/4=4
And ZT=TY=>2x+12=6x-12
=>12+12=6x-2x
=>24=4x
=>24/4=X
=>6=X
Hope this helps u...!!!
Answer:
Circumference: 64π
Ratio: 1 : 4
Measure of ∠xoy: π/2
Step-by-step explanation:
We are given an arc length of 16π. Since it's in terms of pi, we use the formula
S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)
We are given S = 16π and r = 32, plug those in and find Ф
16π = 32Ф
16π/32 = Ф
π/2 = Ф
This is the measure of the central angle.
The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4
The formula for circumference is C = 2πr, where r is the radius, so we hace
C = 2π(32) = 64π
