Answer:
5/7, 2/3, and 16/21
Step-by-step explanation:
If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!
Answer:
3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Step-by-step explanation:
This is because in decimal places, we have what is called place value. In a decimal number after the decimal point, each number place is divided by an increasing power of 10. So, for example, if we have a decimal number 0.82, the place value of the 8 is 8/10 while that of the 2 is 2/10² = 2/100.
So, in the given numbers, 0.04 has a place value of 4/100 and 0.4 has a place value of 4/10. So, we can see that 4/100 = 4/10 ÷ 10 = 4/10 × 1/10.
So, the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9