We have to calculate the pizza´s area.
r=radius
Area (circle)=π*r²
diameter=30 cm
radius=diameter/2=30 cm/2=15 cm
Area(pizza)=π*(15 cm)²=225π cm²≈706.86 cm².
solution: 706.86 cm²
Answer:
5 and 6
Step-by-step explanation:
5 and 6
Answer:
4.9kg of water
Step-by-step explanation:
Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%
Ratio of moisture amount to dry product = 175 : 100
Mass of food product = 10kg
Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg
Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%
Ratio of moisture amount to total weight of material is 15 : 100
Amount of moisture in food product = 15/100 × 10kg = 1.5kg
Amount of water contained in the final product = 1.5kg
Amount of other components in the food product = 10kg - 6.4kg = 3.6kg
Total amount = 1.5kg + 3.6kg = 5.1kg
% of water = 1.5kg/5.1kg × 100 = 29%
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
Answer:
Step-by-step explanation:
4/11
