C. 96 students will not prefer math or language arts
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
The complete question is
Find the volume of each sphere for the given radius. <span>Round to the nearest tenth
we know that
[volume of a sphere]=(4/3)*pi*r</span>³
case 1) r=40 mm
[volume of a sphere]=(4/3)*pi*40³------> 267946.66 mm³-----> 267946.7 mm³
case 2) r=22 in
[volume of a sphere]=(4/3)*pi*22³------> 44579.63 in³----> 44579.6 in³
case 3) r=7 cm
[volume of a sphere]=(4/3)*pi*7³------> 1436.03 cm³----> 1436 cm³
case 4) r=34 mm
[volume of a sphere]=(4/3)*pi*34³------> 164552.74 mm³----> 164552.7 mm³
case 5) r=48 mm
[volume of a sphere]=(4/3)*pi*48³------> 463011.83 mm³----> 463011.8 mm³
case 6) r=9 in
[volume of a sphere]=(4/3)*pi*9³------> 3052.08 in³----> 3052 in³
case 7) r=6.7 ft
[volume of a sphere]=(4/3)*pi*6.7³------> 1259.19 ft³-----> 1259.2 ft³
case 8) r=12 mm
[volume of a sphere]=(4/3)*pi*12³------>7234.56 mm³-----> 7234.6 mm³
Answer $9.00 per pound for almonds
Reason
First, 70# x $3.50 = $245 of peanuts
Second, $515 total cost - $245 of peanuts = $270 of almonds
Third, we know 100# - 70# peanuts = 30# of almonds
Last, $270 cost of almonds divided by 30# of almonds = $9.00 per pound for almonds
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
- S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1
Where:
- S₁₃ = Sum of the first thirteen terms of the geometric series.
- a = First term of the series
- r = Common ratio
Given:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615
