The volume of the frozen figure is 736 cm³
<h3>Volume of a prism </h3>
From the question, we are to determine the volume of the frozen figure
In the given diagram,
The volume of the frozen figure = a³ + 1/2(a²b)
From the given information,
a = 8 cm
b = 7 cm
∴ Volume of the frozen figure = 8³ + 1/2(8² ×7)
Volume of the frozen figure = 512 + 1/2(448)
Volume of the frozen figure = 512 + 224
Volume of the frozen figure = 736 cm³
Hence, the volume of the frozen figure is 736 cm³
Learn more on Calculating volume of a prism here: brainly.com/question/13175744
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Alvin is 16 and Elga is 8.
16 is two times bigger than 8 and 16+8= 24
Answer:
The Answer is: 47 1/4
Step-by-step explanation:
11/8a + 5/4a = 18
Create a common denominator for he coefficient of a:
11/8a + 2/2 * 5/4a = 18
11/8a + 10/8a = 18
21/8a = 18
Multiply both sides by the inverse of 21/8:
8/21 * 21/8a = 18 * 21/8
a = 378/8 or 189/4 or 47 1/4
Answer:
Step-by-step explanation:
The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...
(31/38)^(t/35) = e^(-kt)
Taking the natural log, we find ...
(t/35)ln(31/38) = -kt
k = ln(38/31)/35 ≈ 0.00581711
To the nearest thousandth, this is ...
k ≈ 0.006
Using this in the equation for temperature, we have ...
T = 72 -38e^(-0.006t)
Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about
T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49
T ≈ 48 °F
The value of k is about 0.006, and the turkey temperature is about 48 °F.
There are 18 adult shirts sold because 12×10 is 120 and 15×18 equals 270 and 270+120 equals 390
