ANSWER
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
thats funny!! love that!!!! please mark me
<span>Steps for Factoring a Polynomial: Step 1: If there is a common factor, factor out the GCF. Step 2: Identify
the number of terms: (i) If polynomial has two terms, convert
polynomial into difference of two squares or sum of two cubes or
difference of two cubes.
</span>
Hope this helps!
<span />
Answer:
472 in²
Step-by-step explanation:
This net is made up of 3 identical rectangles and 2 identical triangles.
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
<u>Rectangle</u>
- width = 8 in
- length = 19 in
<u>Triangle</u>
<u>Surface Area</u>
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
Answer:
a) 2
b) -
c) y = 2x + 1
Step-by-step explanation:
a)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
Parallel lines have the same slope so.... a parallel slope is 2
b)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
To find a perpendicular slope flip the slope and change the sign : -
c)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4, parellel slope : 2
- Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
- Calculate the product: 3 = 2 + b
- Move the variable to the left-hand side and change its sign: -x = 2 - 3
- Calculate the difference and change the signs : b = 1
Use the slope and y-intersept (b) to write the new line : y = 2x + 4
