Answer:
D
Step-by-step explanation:
Remember that the formula for the area of a rectangle is:
Where l is the our length and w is our width.
If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:
Combine like terms:
Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:
Combine like terms:
Therefore, our new area will be:
Substitute 1.2l and 1.1w. This yields:
Multiply:
Our old area is:
So, our area increased by a factor of 1.32.
This is the same as 32% of our old area.
So, our answer is D.
And we're done!
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%
Answer:
228.4cm²
Step-by-step explanation:
Find the diagram attached
Total surface area of the prism = Ph + 2B
P is the perimeter of the base (triangle)
h is the height of the prism
B is Base area
P = 5cm + 5cm + 4cm
P = 14cm
h = 15cm
B = 1/2 * base * height
B = 1/2 * 4.6 * 4
B = 4.6 * 2
B = 9.2cm²
Substitute the values into the formula;
Total surface area of the prism = Ph + 2B
Total surface area of the prism = 14(15)+2(9.2)
Total surface area of the prism = 210 + 18.4
Total surface area of the prism = 228.4cm²
Hence the total surface area of the triangular prism is 228.4cm²
Answer:
9x
Step-by-step explanation:
Since you are subtracting a negative from a positive you would get 9
Answer:
The height of the giraffe is 27.432 decimeters.
Step-by-step explanation:
To convert 1 foot to decimeters you would multiply by 3.048.
We need to multiply 9 feet by 3.048 which would give you the answer of 27.432 decimeters.
