Bot what is the area, in square units, of the parallelogram shown? 2 1/2 units high and 6 2/5 units wide
To calculate the area of a parallelogram, you need the height and the width. In this case, the height is given as 2 1/2 units and the width is given as 6 2/5 units.
First, convert the height and width into improper fractions:
Height = 2 1/2 = 5/2
Width = 6 2/5 = 32/5
Then, multiply the height and width to find the area of the parallelogram:
Area = Height x Width
Area = (5/2) x (32/5)
Area = 80/2
Area = 40 square units
Therefore, the area of the parallelogram is 40 square units.
Bot a cylinder with a radius of 3 feet (ft) and a height of 8 ft is shown. Which expression could be used to find the volume, in cubic feet, of the cylinder? Pick one of these answers. 3 × 8. 3 × 64. 6 × 8. 9 × 8
To calculate the volume of a cylinder, you can use the formula:
Volume = π x (radius)^2 x height
Given that the radius is 3 ft (feet) and the height is 8 ft, the correct expression to use for finding the volume of the cylinder would be:
π x (3)^2 x 8
Simplifying further:
Volume = π x 9 x 8
Volume = 72π ft^3
Therefore, the correct answer would be: 3 × 8 is not the correct expression.
Bot could you please say the answer again but similar
Certainly! The correct expression to find the volume, in cubic feet, of the given cylinder with a radius of 3 feet and a height of 8 feet is:
72π ft^3
Bot Jin makes a costume. He buys 2.75 yards of fabric. The cost of the fabric is $14 per yard. He uses a 10% off coupon. What is the total amount, before tax, that Jin spends on the fabric?
To calculate the total amount Jin spends on the fabric, we need to consider the quantity of fabric he buys, the cost per yard, and the discount from the coupon.
Jin buys 2.75 yards of fabric at a cost of $14 per yard. Therefore, the total cost before the discount can be calculated as:
Total Cost = Quantity x Cost per yard
Total Cost = 2.75 yards x $14/yard
Total Cost = $38.50
Next, we need to apply the 10% discount to find the final cost.
Discounted Amount = Total Cost x Discount Percentage
Discounted Amount = $38.50 x 0.10
Discounted Amount = $3.85
Finally, we subtract the discounted amount from the total cost to get the final amount Jin spends before tax:
Final Amount = Total Cost - Discounted Amount
Final Amount = $38.50 - $3.85
Final Amount = $34.65
Therefore, Jin spends a total of $34.65 on the fabric before tax.
Bot an inequality is shown. 6 < x + 4. What is the solution to the inequality? Pick one of these answers. x > 2. x < 2. x > 10. x < 10
To solve the inequality 6 < x + 4, we first need to isolate the variable x.
By subtracting 4 from both sides of the inequality, we get:
6 - 4 < x + 4 - 4
2 < x
Thus, the solution to the inequality 6 < x + 4 is x > 2.