Cross-multiply so that 8(3x + 1) = 14(2x)
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:
cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
Answer: 117.5 seconds
Step-by-step explanation:
Given : It takes you 47 seconds to walk from the first (ground) floor of a building to the third floor.
Since from first floor to third , a person need to pass two levels of staircase.
We assume that the person walk at the same pace and the height of all floors are same.
The time taken to pass each level = (Time taken to pass 2 levels) ÷ 2
= (47 seconds) ÷ (2) = 23.5 seconds
Also, the from first floor to sixth floor , a person need to pass 5 levels of staircase.
Then, the time taken to pass each level = 5 x (Time taken to pass one level)
= 5 x 23.5 =117.5 seconds
Hence, it will take 117.5 seconds to walk from the first floor to the sixth floor.
Answer:
1. x > 13
2. x < -2
3. x < 5
Step-by-step explanation:
2x - 3 > 23
<u>→Add 3 to both sides:</u>
2x > 26
<u>→Divide both sides by 2:</u>
x > 13
2x - 3 > 3x - 1
<u>→Subtract 2x from both sides:</u>
-3 > x - 1
<u>→Add 1 to both sides:</u>
-2 > x
5x - 4 < 21
<u>→Add 4 to both sides:</u>
5x < 25
<u>→Divide both sides by 5:</u>
x < 5
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
