Answer:
B. x < 5
Step-by-step explanation:
Lets go first with 3x – 8 < 23 then with - 4x + 26 > 6 and after that we put them together. (I will use the < > signs but as I see on the pictures these include the =, being less and greater OR equal).
3x – 8 < 23
Lets sum 8 in both sides:
3x < 23 +8
3x < 31
Now, divide both sides by 3:
3x/3 < 31/3
x < 31/3
Here we found one condition. Lets go with the other inequality for the other condition:
- 4x + 26 > 6
Lest sum 4x in both sides to get a potive x:
- 4x + 26 + 4x > 6 +4x
26 > 6 +4x
Now subtract 6 in both sides
26 - 6 > 6 +4x - 6
20 > 4x
Finally, divide both sides by 4:
20/4 > x or 5 > x (simplifying we get the second)
So, our second condition says that x must be less than 5.
So, putting both conditions together:
x < 5
x < 31/3 = 10.33
So, if x must be less than 5 and less than 10.33, is the same that saying that x mus be less than 5. We con obviate the condition that x must be less than 10.33 as it is included in the other. So our answer is:
x < 5
It is the option B in the image (remember I didnt use the less or equal sign because you didn't included it in the statement).
Area of the sector is 981.3 cm²
Step-by-step explanation:
- Step 1: Find the area of the sector where radius = 50 cm and central angle = 45°
Area of the sector = πr² (C/360), where r is radius and C is the central angle
⇒ Area = 3.14 × 50² × (45/360)
= 3.14 × 2500 × 1/8
= 7850/8 = 981.3 cm²
3
4
5
15
50
40
Explanation: the first thee are the fractions times the number in the parentheses. The last two are doing 10 divided by the fraction to get x. It's just reverse of the first three, because you have to find x in a different order, so you use division. Hope this helps.
Answer:
about 5
Step-by-step explanation:
