Answer:
A = 21572
Step-by-step explanation:
<em><u>The formula to find a rectangular prism's area is:</u></em>
A = 2wl + 2lh + 2hw
<em><u>OR</u></em>
A = 2(wl + lh + hw)
<em><u>So plug in the numbers into the formula accordingly:</u></em>
A = 2(47 · 66 + 66 · 68 + 68 · 47)
A = 2(3102 + 4488 + 3196)
A = 2(10786)
A = 21572
Answer:
and ![TA=6\ units](https://tex.z-dn.net/?f=TA%3D6%5C%20units)
Step-by-step explanation:
we know that
In the diagram
Triangles GRT and GEA are similar by AA Similarity Postulate
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
![\frac{GR}{GE}=\frac{GT}{GA}](https://tex.z-dn.net/?f=%5Cfrac%7BGR%7D%7BGE%7D%3D%5Cfrac%7BGT%7D%7BGA%7D)
we have
![GR=5\ units](https://tex.z-dn.net/?f=GR%3D5%5C%20units)
![GE=5+3=8\ units](https://tex.z-dn.net/?f=GE%3D5%2B3%3D8%5C%20units)
![GT=16-x\ units](https://tex.z-dn.net/?f=GT%3D16-x%5C%20units)
![GA=16\ units](https://tex.z-dn.net/?f=GA%3D16%5C%20units)
substitute
![\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B16-x%7D%7B16%7D%5C%5C%20%5C%5C5%2A16%3D8%2A%2816-x%29%5C%5C%20%5C%5C80%3D128-8x%5C%5C%20%5C%5C8x%3D128-80%5C%5C%20%5C%5Cx%3D48%2F8%5C%5C%20%5C%5Cx%3D6%5C%20units)
therefore
![GT=16-x=16-6=10\ units](https://tex.z-dn.net/?f=GT%3D16-x%3D16-6%3D10%5C%20units)
![TA=x=6\ units](https://tex.z-dn.net/?f=TA%3Dx%3D6%5C%20units)
Answer:
1
Step-by-step explanation:
-2m+9=7
-2m=7-9
-2m=-2
m=-2/-2
m=1
-2*1+9=7
-2+9=7
(9-2=7)
m=1
3 + 0.1 + 0.02 + 0.005
hope this helps
<h3>
Answer: Statement B in the lower left corner</h3>
When you raise an exponential expression to another exponent, you multiply the exponents. We have 8*5 = 40 as the final exponent. The rule is (x^y)^z = x^(y*z). The base stays the same.
Statement A is not true because we should be adding the exponents. The rule is x^y*x^z = x^(y+z). Note how the bases are all the same. We'll use this rule for statement C to show that it is also false.
A similar rule is (x^y)/(x^z) = x^(y-z). We subtract the exponents this time. This rule is used to show that statement D is false.