Answer:
Robin's age is n - 5
Step-by-step explanation:
Let n represent Nathan's age. Robin is younger, 5 years younger. Robin's age should be a smaller number than Nathan's age. So we'll take away 5 years from Nathan's age:
n - 5
This is Robin's age in terms of Nathan's age.
Good morning,
Answer:
<h2>r = 4 cm</h2>
Step-by-step explanation:
V = h × (base area)
= 12 × (π×r²)
then 192π = 12π×r²
Then 192 = 12×r²
Then r² = 192÷12 = 16
Then r = √16 = 4.
:)
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>
30% of 90 <em>whenever it says "of" put in a multiplication sign </em>
30% x 90 <em> take out the % sign (percent means divided by 100)</em>
30/100 =3/10 <em>simplify,then multiply by 90</em>
3/10 x 90 = 270/10 <em> simplify</em>
270 = 27
90 - 27 = 63 <em>subtract 27 because it is the amount read so far from the total</em>
Keisha has to read 63 more minutes to reach her goal.
Answer:
Step-by-step explanation:
Perimeter of square park = 2000 m
4*side = 2000
side = 2000 ÷ 4
side = 500 m
Area of square park = side * side
= 500 * 500
= 250000 m²
