Alana will use a 3/4 gallon pitcher to fill an empty 2/3 gallon bucket. how much water will she need to completely fill the bucket? a) between 1 and 2 full pitchers b) between 0 and 1/4 of a pitcher c) about 1/2 of a pitcher d) between 3/4 and 1 full pitcher

D. between 3/4 and 1 full pitcher

Step-by-step explanation:

Given : Alana will use a 3/4 gallon pitcher to fill an empty 2/3 gallon bucket

To Find: How much water will she need to completely fill the bucket?

Solution :

let x be the water she will need to completely fill the bucket

Since we are given that Alana will use a 3/4 gallon pitcher to fill an empty 2/3 gallon bucket

Since

So, she will need between 3/4(0.75) and 1 full pitcher  need to completely fill the bucket

57 units²

Step-by-step explanation:

you can solve this by splitting this complex shape into 4 triangles and 1 square (see attached). By using the axes, you will be able to find the base lengths and heights of each shape.

With this, we can find the areas of each shape and then add them to get the total area of the composite shape

Area Triangle 1 = (1/2) x 3 x 4 = 6 units²

Area Triangle 2 = (1/2) x 3 x 3 = 4.5 units²

Area Triangle 3 = (1/2) x 3 x 5 = 7.5 units ²

Area Triangle 4 = (1/2) x 1 x 6 = 3 units ²

Area square = 6 x 6 = 36 units²

Area of composite figure

= sum of areas of each individual shape

= 6 + 4.5 + 7.5 + 3 + 36

= 57 units²