Answer:
<h2>135 ft²</h2><h2 />
Step-by-step explanation:
see attached image
<u>shaded area = total area (1) - unshaded triangular area (2)</u>
1. area of a trapezoid = (a + b) * h/2
where a = 8, b = 18, h = 15
Area of trapezoid = (8 + 18) * 15/2 = 195 ft²
2. Area of unshaded triangle = 1/2 (8) 15 = 60 ft²
shaded area = 195 - 60 = 135 ft²
Volume:
<h2>
Explanation:</h2>
A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:
So:
From the figure the radius of the hemisphere is the same radius of the cylinder and equals:
And the height of the cylinder is:
So:
The volume of a hemisphere is half the volume of a sphere, hence:
Finally, the volume of the composite figure is:
<h2>Learn more:</h2>
Volume of cone: brainly.com/question/4383003
#LearnWithBrainly
<span>Equation at the end of step 1 :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> -3x3y7 + x3y - 6y</span> = <span> -y • (3x3y6 - x3 + 6)</span>
Trying to factor a multi variable polynomial :
<span> 3.2 </span> Factoring <span> 3x3y6 - x3 + 6</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
<span>Equation at the end of step 3 :</span><span> -y • (3x3y6 - x3 + 6) = 0
</span><span>Step 4 :</span>Theory - Roots of a product :
<span> 4.1 </span> A product of several terms equals zero.<span>
</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>
</span>We shall now solve each term = 0 separately<span>
</span>In other words, we are going to solve as many equations as there are terms in the product<span>
</span>Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation :
<span> 4.2 </span> Solve : -y = 0<span>
</span>Multiply both sides of the equation by (-1) : y = 0
Bob was selling some toys. Every toy cost 55 dollars and he made 1045 dollars in profit on that exact day. How many toys did Bob make on that day?
