Volume of the two semicircle prism = π(2)²(4) = 16π = 50.27ft³
Volume of the rectangle prism = 12 x 4 x 4 = 192 ft³
Volume of the whole prism = 50.27 + 192 = 242.27 ft³
Answer: Volume = 242.27 ft³
Answer:surface area = 2x^2 + 18x - 34
Step-by-step explanation:
The formula for determining the surface area of a rectangular prism is expressed as
Surface area = 2lh + 2wh + 2wl
Where
l represents the length of the rectangular prism.
h represents the height of the rectangular prism.
w represents the width of the rectangular prism
From the information given,
l = x+3
h = 5
w = x - 4
Surface area = 2 × 5 × (x+3) + 2 × (x - 4) × 5 + 2 × (x - 4) × (x + 3)
= 2(5x + 15) + 10(x - 4) + 2[x^2 + 3x - 4x - 12]
= 10x + 30 + 10x - 40 + 2x^2 - 2x - 24
= 2x^2 + 18x - 34
Answer:
<em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>9</em>
Step-by-step explanation:
<em>To attain the y-intercepts you must let x</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em>
<em>So</em><em> </em><em>in</em><em> </em><em>this case</em><em> </em><em>you will be</em><em> </em><em>having</em><em>:</em>
<em>y</em><em> </em><em>=</em><em> </em><em>(</em><em>3</em><em>/</em><em>2</em><em>)</em><em>(</em><em>0</em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em>/</em><em>9</em>
<em>So</em><em> </em><em>the</em><em> </em><em>coordinates</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>(</em><em>0</em><em>,</em><em>1</em><em>/</em><em>9</em><em>)</em>
<em>hopefully</em><em> </em><em>this</em><em> </em><em>makes</em><em> </em><em>sense</em><em> </em><em>:</em><em>)</em>
<h3>What is the greatest common factor for 60 and 45 ?</h3>
<em>The greatest common factor (GCF) is also known as greatest common divisor (GCD).</em>
<em>First we have to find the prime factorization of 60</em>
60 = 2² × 3 × 5
<em>Then we have to find the prime factorization of 45</em>
45 = 3² × 5
<em>Now we have to multiply the common factors to both numbers with a lower exponent</em>
GCF = 3 × 5 = 15
Answer : GCF(60,45) = 15
Hope this helps!
Answer:
D. l hope this helps
Step-by-step explanation: