Answer:
7.1 cm
Step-by-step explanation:
Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...
(10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse
100 cm² = 2s² . . . . . . simplify
50 cm² = s² . . . . . . . . divide by 2
√(50) cm = s ≈ 7.1 cm . . . . . take the square root
The length of a side of the square to the nearest tenth is 7.1 cm.
Answer:
c) alternate hypothesis
Step-by-step explanation:
Answer:
156 sq. units
Step-by-step explanation:
divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.
Answer:
Step-by-step explanation:
Let b represent the number of cups of butter needed.
Let s represent the number of cups of sugar needed.
Let o represent the number of cups of oat needed.
Let f represent the number of cups of flour needed.
The recipe calls for two times as many cups of sugar as butter. It means that
s = 2b
Two times as many cups of oats as sugar. It means that
o = 2s
Two times as many cups of flour as oats. It means that
f = 2o
If Duane puts in one cup of butter, it means that b = 1
Therefore,
s = 2 × 1 = 2 cups
o = 2s = 2 × 2 = 4 cups
f = 2o = 2 × 4 = 8 cups
Therefore, he needs to add 8 cups of flour