Answer: The answer to your question is 6
Step-by-step explanation:
To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.
Medium triangle Large triangle
hypotenuse y 9 + 3
adjacent size 9 y
- Write the proportions
y/9 = (9 + 3)/y
-Solve for y
y² = 9(12)
y² = 108
y = 
-Find the prime factors of 108
108 2
54 2
27 3
9 3
3 3
1
then, 108 = 2² 3³
-Expressthe root as fractional exponents
2²/² 3²/² 3¹/²
-Simplification
2(3)(3)¹/²
-Result
6
Answer:
C) Exponential Growth
Step-by-step explanation:
The geometric sequence is of the form a(n) = a*r^(n-1). For example, a(n) = 2*3^(n-1) with a = 2 as the starting term and r = 3 as the common ratio.
The variable n is in the exponent. We can replace it with x to get y = 2*3^(x-1); which graphs out to an exponential curve going uphill as you read it from left to right. This shows exponential growth, which matches with the growth of the original geometric sequence.
The answer is C because there is an open circle(not including the number it's on) on the 60 mark and the arrow goes to the left, or to the lower numbers.
Answer:
First step is to set the compass to a convenient width and draw an arc from the vertex of the original angle.
Step-by-step explanation:
Answer:
C, D
Step-by-step explanation:
Step 1: (3^2)^3 * 3^6 / 3^4
Step 2: (9)^3 * 3^6 / 3^4
Step 3: 729 * 3^6 / 3^4
Step 5: 729 * 729 / 3^4
Step 6: 531441 / 3^4
Step 7: 531441 / 81
Step 8: <u><em>6561</em></u>
A = 27
B = 2187
<u><em>C = 6561</em></u>
<u><em>D = 6561</em></u>
E = 2187
