Answer:
The answer is 15.625 square meters per day.
Step-by-step explanation:
To solve this, divide the amount (500) by the amount of time it took to do it (32 days), which gives you 15.625 square meters per day.
First, you must find the original volume of the prism by applying the following formula:
V1=HxB
V1 is the original volume of the prism.
H is the height of the prism (H=10 ft).
B is the base are of the prism (B=5 ft2)
So, the original volume is:
V1=HxB
V1=(10 ft)(5 ft2)
V1=50 ft2
<span>
When the prism is dilated by a factor of 6/5, its volume is:
</span>
V2=(V1)*<span>(6/5)^3
</span> V2=(50 ft³)*<span>(6/5)^3
</span> V2=<span>
86.4</span> ft³
<span>
What is the volume of the dilated prism?
The answer is: </span><span>
<span>86.4</span></span> ft³
Answer:
$9
Step-by-step explanation:
20% is equal to 1/5. Multiply $45 by 1/5 to get $9
Slope is rise over run.
40. the rise is $0.90 and the run is 6 years, so the annual rate of change is .9/6 = $0.15 per year
40) Final answer: $0.15 per year
For 41-48, find the difference between the given values of the same variable, then multiply by the slope and add/subtract from the variable whose second value is missing (sorry if that's confusing)
41. 9-6=3 => 3*(-1)=-3 => 2+3=-1
41) Final answer: r=-1
42. 4-3=1 => 1*8=8 => (-5)-8=-13
42) Final answer: r=-13
43. 5-2=3 => 3*(4/3)=4 => -3+4=1
43) Final answer: r=1
44. 7-3=4 => 4*(3/4)=3 (flip the slop to find x values) => -2-3=-5
44) Final answer: r=-5
45. (-1/4)-(-5/4)=4/4=1 => 1*(1/4)=1/4 (again flip the slope) => 1/2-1/4=1/4
45) Final answer: r=1/4
46. 1-(2/3)=1/3 => (1/3)*(1/2)=(1/6) (don't have to flip this time) => (1/2)-(1/6)=1/3
46) Final answer: r=1/3
For 47 and 48, I'll setup an equation for r
47. (4-r)*(-5/3)=r-2 => -20/3+(5r)/3=r-2 => -14/3+(5r)/3=r => -14/3=-(2r)/3 => -14=-2r => r=7
47) Final answer: r=7
48. (R-(-2))*(-2/9)=5-r => -2(r+2)/9=5-r => -(2r)/9-4/9=5-r => -(2r)/9=49/9-r => (7r)/9=49/9 => 7r=49 => r=7
48) Final answer: r=7
Hope I helped :)
Answer:
Answer is 368.94
Step-by-step explanation: