Answer: The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation: my teacher tought me this
The distance between the two points is 5.4
Explanation:
The points are (-1,-9) and (1,-4)
The distance between the two points can be determined using the formula

Substituting the values in the formula, we get,

Adding the values,

Squaring the terms, we get,

Simplifying, we have,

Thus, the distance between the two points is 5.4
Answer:
a = 2
Step-by-step explanation:
To find the missing length we can use the Pythagorean theorem. Also, because it's a right triangle it makes it the perfect candidate!
The Pythagorean Theorem states:
a^2 + b^2 = c^2
Next, we substitute the letters with our given numbers (keep in mind that c is the hypotenuse which is the side facing the right angle)
a^2 + 2.1^2 = 2.9^2
Finally, we solve our equation (hint: use the calculator if needed)
a^2 = 4 (your answer is not final yet. You have to take the square root of both numbers)
a = 2 (Now that's the final answer!)
Answer:
5x + 9y ≤ 32
Step-by-step explanation:
Each cassette tape costs $5 and each CD costs $9
Let x represent the number of tapes and y the number of CDs.
The cost of the cassettes is the number of cassettes times the cost per cassette and the cost of the tapes is the number of tapes times the cost per tape. We add these together to get the total cost. The total cost must be less than or equal to 32
32≥5x+9y