Answer:
16
Step-by-step explanation:
The formula to find the volume of the right angle rectangular prism is:
V = h*w*l where:
= 4*8*2 = 64 cubic inches
Let V1 in cubic inches is the volume of the big rectangular prism
In the question, she made smaller rectangular prism using 1/4 of the number of cubes so the volume in cubic inches of the smaller right rectangular prism:
1/4 the Volume of of the big rectangular prism
= 1/4 V1
= 1/4*64 = 16
Hope it will find you well.
Answer:
46 years
Step-by-step explanation:
We have the logistic growth function and we want to find the time when the population will reach 20,000, to do it we just need to replace
with 20,000 and solve for
:
Divide both sides by 25,000
Multiply both sides by and divide them by 0.8
Subtract 1 from both sides
Divide both sides by 8.25
Take natural logarithm to both sides
Divide both sides by -0.076
≈ 46
We can conclude that the population will reach 20,000 after 46 years.
<u>Given</u>:
Let A denote the angle of the given triangle which measures ∠A = 81°
Let B denote the angle which measures ∠B = 40°
The length of the side a = x.
The length of the side b = 7 cm.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the law of sine formula.
Applying the law of sine, we have;
Substituting the values, we have;
Simplifying, we get;
Cross multiplying, we have;
Thus, the length of the side x is 10.8 cm.