Answer:
<u>1,216 cm³</u>
Step-by-step explanation:
Volume (composite space figure) = Volume (pyramid) + volume (prism)
- ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
- ⇒ 96 [14/3 + 8]
- ⇒ 96 [14/3 + 24/3]
- ⇒ 96 x 38/3
- ⇒ 32 x 38
- ⇒ <u>1,216 cm³</u>
Answer:
An ellipse and a rectangle.
Step-by-step explanation:
If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.
If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.
If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.
By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours.
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
Answer:6_1/4
Step-by-step explanation:
They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.
This means that you just have to divide 18_3/4 bu 3, which is 6_1/4
