Answer:
13.6
Step-by-step explanation:
12.6 + [1/2]2 = 13.6
Of the integers -65, -42, 65, and 90, the two that are farthest apart on the number line are C) -65 and 90
Short Answer: Tony 40 Cleo 30
Givens
T = Tony
C = Cleo
Equations
1/2 T + 1/3 C = 30 (1)
2/5 T + 1/2 C = 31 (2)
Adjustments
Multiply (1) by 3
Multiply (2) by 2
New Equations
3/2 T + C = 90 (1a)
<u>4/5 T + C = 62</u> (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28 the common multiple of 2 and 5 = 10.
(15/10 - 8/10)T = 28
7/10 T = 28 Multiply by 10
7T = 28*10
7T = 280 Divide by 7
T = 280/7 = 40
Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30 Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10 Multiply through by 3
C = 10 * 3
C = 30
Answer:
Cleo has 30 books.
Tony has 40 books.
Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.
<h3>
Answer: 3.67 centimeters approximately</h3>
Use the law of sines to get this answer
b/sin(B) = c/sin(C)
c/sin(C) = b/sin(B)
c/sin(60) = 3/sin(45)
c = sin(60)*( 3/sin(45) )
c = 3.6742346 approximately
c = 3.67 rounding to nearest hundredth
Make sure your calculator is in degree mode.
