Answer:
x= 4
Step-by-step explanation:
The two triangles are similar so the ratios of both should be the same. Triangle DEF is 15 times bigger than triangle ABC so 60 divided by 15 is 4. Moral of the story 4 equals X
Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>
The rate at which the temperature is dropping is
degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

Applying <em>separation of variables</em>, we find the solution as follows:




In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:

Hence:

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029
Answer:
160 Pounds
Step-by-step explanation:
Answer:
14.13 units^2.
Step-by-step explanation:
The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.
pi * 3^2 = pi * 9 = 9pi.
This is a semicircle, so the area will be half of the whole circle.
9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.
Hope this helps!
<span> high and the </span>diameter<span> is </span>8cm using<span> the formula </span>V<span>=.π r ²h, </span>work out<span> how </span>much<span> ...the </span>height<span> h is given as </span>12 cm<span> ... Note: Generally we would </span>use<span> 3.14 as the rounded </span>value<span> of </span>pi<span>. ... when dealing </span>with<span> liquids, turn cm</span>3<span> to milliliters. ... Adding and Subtracting Polynomials Math Word Problem Solution </span>Method<span> ..</span>