I just took the test. The answer is y=250(4^x)
Answer:
Three cubes
Step-by-step explanation:
Lets first write down what we know.
<em>The dimensions of the pyramid are a base of 6cm and a height of 10cm.</em>
<em>The cubes are 2cm by 2cm by 2cm.</em>
<em>We need to find the volume of both to solve.</em>
First, lets solve for the volume of the pyramid. The equation is <u>Volume=base*height/3</u>
Lets put in the values we know.
volume=6*10/3
Multiply.
volume=60/3
Divide.
volume=20cm
Now that we know the volume of the pyramid is 20cm, all we have to do is find the volume of the cubes, and then divide 20cm by their volume.
To find the volume of the cubes, we just need to multiply length, width, and height together.
2cm*2cm*2cm=8cm
Now divide 20cm by 8cm.
20/8=2.5 rounding up to 3.
<em>Devin will need to melt 3 cubes to fill the square pyramid.</em>
Hope this helps!
A. 8 feet * 0.9 = distance after first bounce
h(n) = 8 * 0.9^n
b. 8 * 0.9^14 = 1.83 feet to 2 d.p.
1.83 * 12 = 21.96 inches
First, you have 35 total pens in the box. 15 are green. to find how many red pens you need to find the difference between 35 and 15 to get how many red pens there are. (35-15= 20) Therefore, there are 20 red pens. The ratio needs to be green pens to red pens. So, there is 15 green and 20 red ( 15/20 or 15:20) Simplify that by 5 and you get 3/4 or 3:4.
In a regular octagon all the interior angles are of the same value.
sum of the interior angles in octagon = (n-2) *180°
n - number of sides, in this case, n = 8
interior angles sum = (8-2)*180° = 6*180° = 1080°
since there are 8 equal angles = 1080/8 = 135°
Angle x + one interior angle of the octagon = 180 ° (as its a straight line)
x + 135 = 180
x = 45°
