For each of the examples below, identify the
1 answer:
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Answer:
<h2>AC = 36.01</h2>Step-by-step explanation:
Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.
From ΔADB, AB² = AD²+BD²
Given AB = 24 and AD = 16
BD² = AB² - AD²
BD² = 24²-16²
BD² = 576-256
BD² = 320
BD =
BD = 17.9
from ΔABC, AC² = AB²+BC²
SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;
(AD+DC)² = AB²+ (BD² + DC²)
Given AD = 16, AB = 24 and BD = 17.9, on substituting
(16+DC)² = 24²+17.9²+ DC²
256+32DC+DC² = 24²+17.9²+ DC²
256+32DC = 24²+17.9²
32DC = 24²+17.9² - 256
32DC = 640.41
DC =
DC = 20.01
Remember that AC = AD+DC
AC = 16+20.01
AC = 36.01
Answer: There are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.
Explanation:
Since we have given that
Number of cups of cocoa is given by
Number of cups of milk is given by
Since there are total number of cups of ingredients = 14
First, we find out the ratio of cups of cocoa and milk i.e.
So, Number of cups of cocoa is given by
Number of cups of milk is given by
Hence, there are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.