Answer: large pizza
Work:
1) You can determine the arc of a slice that is 1/12 of the whole pizza using the diameter.
2) First, calculate the total circumference of each pizza.
Formula for the circumference: 2π×radius
radius = diameter / 2
medium pizza: 2π (12 / 2) = 12π ≈ 37.70 in
large pizza: 2π (16/2) = 16π ≈ 50.27 in
3) arc of a 1/12 sector
arc of a 1/12 sector = circumferece × 1/12
medium pizza: 37.70 in / 12 = 3.14 in
large pizza: 50.27 in / 12 = 4.19 ↔ this is pretty close to 4.25
So, at the end we have found that the sector of 4.25 in left belongs to a large pizza.
Answer:
7.1 cm
Step-by-step explanation:
The diagonal of a cube connects two opposite corners.
You can use the diagonal of a cube in a right triangle in which it is the hypotenuse. The legs of the triangle are a diagonal of a face and an edge.
Let the length of the edge be s.
a^2 + b^2 = c^2
s = 7.1
Answer: 7.1 cm
Answer:
Option B (35°).
Step-by-step explanation:
To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!
Perimeter of a parallelogram = 2(l+b)
= 2 (65+42)
= 2*107
= 214 cm
Step-by-step explanation:
F= 9/5(C + 32)
5/9 F = C + 32
C = 5/9 F - 32
