Answer: 3t+4q.
Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.
Answer:
45.3 miles/h
Hope this will help you
Step-by-step explanation:
Slope formula is y=mx+b. m is the slope and b is the y-intercept. You can plug the coordinates that are given, (-3,-3), to find the y-intercept.
y=-3/4x+b is the equation you have so far. Plug in (-3,-3):
-3=-3/4(-3)+b
Multiply -3/4*-3.
-3=9/4+b
Subtract 9/4 from both sides.
-21/4=b
Equation: y=-3/4x-21/4
-21/4 equals -5.25, so your y-intercept would be (0,-5.25). That is the first point that you can plot on your graph.
After this, to graph the rest of the equation, you need to use your slope, -3/4. Every point will be down 3, right 4 from the one before it. In this case, your next point to graph would be (4,-8.25). You can also find what the coordinates would be in the opposite direction by going up 3, and left 4 from the original y-intercept. In this case, the coordinates would be (-4, -2.25)
Graph the points: (0,-5.25), (4,-8.25), and (-4, -2.25). Connect all the points to form your line. Normally, graphing two or three points should be enough!
I hope this helps :)
Answer:
A. 3 cm
Step-by-step explanation:
The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is
cm and the volume of the water is

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

where h is the height of the water.
Equate volumes of the water:

Therefore, the water is 3 cm from the bottom.