It is irrational and is = to 4√2
Answer:
nearest tenth is 23.5
nearest hundredth is 23.55
Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55
Answer:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)
Answer:
D
Step-by-step explanation:
(x - 3)(x + 4) = x^2 + x - 12
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
