You will have to use trig to solve this:
The side you have is adjacent to the known angle
The side you are looking for is opposite the known angle
^^^This means you need to use tan:
tan(24) = 
.445222 =
^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x
5.3 ≈ x
Hope this helped!
Newton's law of motion has three parts. The second of which states that the force needed to move an object is directly proportional to the acceleration of the motion. The proportion can be written as,
F = ka
where k is the constant of proportionality. This can be substituted with the mass of the object such that the equation would become.
F = ma
where F is force, m is mass, and a is acceleration.
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about <u><em>235.62 cubic inches.</em></u>
For the volume of the other prism, we simply have to do length <em>times</em> height <em>times </em>width, or 6·8·10. That is equal to <em><u>480 cubic inches</u></em>, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about <em><u>716in</u></em><em>³.</em>
<u><em>Hope this helps.</em></u>
