<span>x³ - 4x² - 3x² + 12x + 2x - 8
= x²(x - 4) - 3x(x - 4) + 2(x - 4)
= (x - 4)(x² - 3x + 2)
= (x - 4)(x - 1)(x - 2)
</span>
When triangles are similar, ratios of corresponding side lengths are the same. The side lengths you know are CD, DU, VW, WU. (You also know CU, but you do not know the corresponding length VU.)
The ratios can be formed in any convenient way, but it is already clear that the triangles are not similar. CD = 73 is a prime number, and neither DU nor VW is a multiple of that. For example, ...
... CD/VW = 73/84 ≠ 48/55 = DU/WU
1. SET UP EQUATION
(15x+1)+(6x+5)+(4x-1)=180
2. SIMPLIFY
25x+5=180
3. SUBTRACT 5 ON BOTH SIDES
25x=175
4. DIVIDE 25 ON BOTH SIDES
x=7
5. PLUG IN 7 FOR EACH ANGLE
15(7)+1
6(7)+5
4(7)-1
6. SIMPLIFY
105+1
42+5
28-1
7. SOLVE
106
47
27
ANSWERS:
x=7
15x+1=106 degrees
6x+5=47 degrees
4x-1=27 degrees
Answer:
1.99750312 * 10 ^(-12)
Step-by-step explanation:
When we divide numbers in scientific notation
1.6*10^12
----------------
8.01 * 10^23
We divide the numbers out front and subtract the exponents on the powers of 10
(1.6/8.01) * 10^(12-23)
.199750312 * 10^(-11)
But this is not proper scientific notation. We need 1 number in front of the decimal. If we move the decimal 1 place to the left, we subtract 1 from the exponent
1.99750312 * 10 ^(-11-1)
1.99750312 * 10 ^(-12)
Answer:
4.601 cubic inches.
Step-by-step explanation:
The volume of a cone is 1/3*pi*r^2*h, where r=d/2.
Using this, 1/3*pi*(2.6/2)^2*2.6=4.601 cubic inches.
