Answer:
4 d
Step-by-step explanation:
Given D is mid-point of BC and AD⊥AC
From right angle △DAC
cosC=
a/2
b
=
a
2b
...(i)
also from cosine formulae
cosC=
2ab
a
2
+b
2
−c
2
...(ii)
From (i) and (ii) we get
a
2b
=
2ab
a
2
+b
2
−c
2
⇒4b
2
=a
2
+b
2
−c
2
⇒b
2
=
3
a
2
−c
2
∴cosAcosC=
2bc
b
2
+c
2
−a
2
.
a
2b
=
ca
[(
3
a
2
−c
2
)+c
2
−a
2
]
=
3
2
(
ca
c
2
−a
2
)
Convert 6 to a mixed number 5 3/3 the subtract.5 3/3 -4 1/3=Answer = 1 2/3Your welcome!!!
Answer: You get to keep 1,673.24
You pay 272.38 in taxes.
Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.
This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.
What is 22% of 46?
Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.
Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.
So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].
0.46 × 22 = 10.12
Answer: 22% of 46 is 10.12.
Hope this helped :)
Answer:
262,143
Step-by-step explanation:
- 1
- 1+2
- 3+4
- 7+8
- 15+16
- 31+32
- 63+64
- 127+128
- 255+256
- 511+512
- 1023+1024
- 2047+2048
- 4095+4096
- 8191+8192
- 16,383+16,384
- 32,767+32,768
- 65,535+65,536
- 131,071+131,072
=262,143
