Answer:
5,675
Step-by-step explanation:
she save 5,675 in a week
Answer:
32
Step-by-step explanation:
The pattern is multiples of 4
The 8 term will be the 8 multiple of 4
4 * 8 = 32
4 (4v+6p)
16v+24p
this is the answer, if you have any questions let me know
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
Find out more on volume at: brainly.com/question/12410983
Answer:
Step-by-step explanation:
In ΔABC, we have,
∠B=2∠C or ∠B=2y where ∠C=y
AD is the bisector of ∠BAC. So, Let ∠BAD=∠CAD=x
Let BP be the bisector of ∠ABC.
In ΔBPC, we have
∠CBP = ∠BCP = y ⇒ BP = PC ... (1)
Now, in ΔABP and ΔDCP, we have
∠ABP = ∠DCP = y
AB = DC [Given]
and, BP = PC [Using (1)]
So, by SAS congruence criterion, we have
Δ ABP ≅ Δ DCP
Therefore
∠BAP = ∠ CDP = 2x and AP = DP ,
So in Δ APD, AP=DP
=> ∠ADP = ∠DAP = x
In ΔABD, we have
∠ADC = ∠ABD + BAD ⇒ 3x= 2y + x
⇒ x = y
In ΔABC, we have
∠A + ∠B + ∠C = 180°
⇒ 2x + 2y + y = 180°
⇒ 5x = 180°
⇒ x = 36°
Hence, ∠BAC = 2x = 72°