Answer:
20 1/6 ft
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
2×(5 1/3 ft) + 2×(4 3/4 ft) = 10 2/3 ft + 8 6/4 ft
= 10 2/3 ft + 9 2/4 ft . . . . change 6/4 ft to 1 1/2 ft
= 10 8/12 ft + 9 6/12 ft = 19 14/12 ft . . . . . use common denominator of 1/12 ft
= 20 2/12 ft . . . . . . change 14/12 ft to 1 2/12 ft; next reduce that fraction
= 20 1/6 ft . . . . perimeter of Caleb's bathroom
The answer is B.
Explanation:
If you divide exponents, you subtract the exponents.
<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
Answer:
x = 1091.63315843
<span>
Setting Up:
7 = ln ( x + 5 )
ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).
You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).
The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.
e^7 = x + 5
Solving</span>:
e = 2.71828182846
Natural logarithms are logarithms to the base of the constant 'e'.
e^7 = x + 5 ( simplify e^7 )
<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.
1091.63315843 = x
