Answer:
The dimension of the larger bin is x and the smaller bin is 
.
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75
Hence, the dimension of the larger bin is x and the smaller bin is .
Answer:
Barbarian is the first.
Thatched is second.
Vassal is third.
Granary is fourth.
Step-by-step explanation:
Complete question:
The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at
Answer:
27,800
Step-by-step explanation:
We need to obtain the initial population(P0) and constant value (k)
Population function : p(t) = P0e^kt
At t = 0, population = 19,000
19,000 = P0e^(k*0)
19,000 = P0 * e^0
19000 = P0 * 1
19000 = P0
Hence, initial population = 19,000
At t = 3; population = 23,000
23,000 = 19000e^(k*3)
23000 = 19000 * e^3k
e^3k = 23000/ 19000
e^3k = 1.2105263
Take the ln
3k = ln(1.2105263)
k = 0.1910552 / 3
k = 0.0636850
At t = 6
p(t) = P0e^kt
p(6) = 19000 * e^(0.0636850 * 6)
P(6) = 19000 * e^0.3821104
P(6) = 19000 * 1.4653739
P(6) = 27842.104
27,800 ( nearest whole number)
Answer:
4.8 inches
Step-by-step explanation:
Given: The largest frog in the world is goliath which is 12 inches long.
The smallest frog is about 2.5 as long as the goliath.
Lets assume the length of smallest frog be "x".
As given, smallest frog is about 2.5 as long as the goliath.
∴ we can form equation as 
Solving the equation to find the value of x
Dividing both side by 2.5
⇒ 
∴ 
Hence, the length of smallest frog is 4.8 inches.
The answer is D) 72, 108
First you have to find out the measure of the two other angles in the triangle. Those two angles will be equivalent.
Because the sum of all three angles in a triangle is 180, you subtract 36 from it (180 - 36 = 144) then divide by 2 (144/2 = 72).
So, the two angles at the bottom of the triangle are each 72. Because those angles are supplementary to the angles at the top of the trapezoid, you subtract 72 from 180 (180 - 72 = 108).
108 + 108 = 216
The sum of all the angles in a trapezoid is 360, so subtract 216 from 360 (360 - 216 = 144) then divide by 2 (144/2 = 72)
