Answer:
7
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Solve for x:
-8 (8 - x) = (4 (x + 10))/5
Multiply both sides by 5:
-8×5 (8 - x) = (5×4 (x + 10))/5
(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):
-8×5 (8 - x) = 4 (x + 10)
5 (-8) = -40:
-40 (8 - x) = 4 (x + 10)
Expand out terms of the left hand side:
40 x - 320 = 4 (x + 10)
Expand out terms of the right hand side:
40 x - 320 = 4 x + 40
Subtract 4 x from both sides:
(40 x - 4 x) - 320 = (4 x - 4 x) + 40
40 x - 4 x = 36 x:
36 x - 320 = (4 x - 4 x) + 40
4 x - 4 x = 0:
36 x - 320 = 40
Add 320 to both sides:
36 x + (320 - 320) = 320 + 40
320 - 320 = 0:
36 x = 40 + 320
40 + 320 = 360:
36 x = 360
Divide both sides of 36 x = 360 by 36:
(36 x)/36 = 360/36
36/36 = 1:
x = 360/36
The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:
Answer: x = 10
Answer:
explanation will answer.
Step-by-step explanation:
To convert this fraction to a decimal, just divide the numerator (35) by the denominator (64). So, 35 / 64 = 35 ÷ 64 = 0.546875. Approximated Values: 35 / 64 = 0.5 rounded to 1 significant figure. 35 / 64 = 0.55 rounded to 2 significant figures. 35 / 64 = 0.547 rounded to 3 significant figures.
Answer:

Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
= G- A = GF = 2
- H = EG = 4

<span>10 seconds.
You need to figure out when the height of the bolt reaches 0. Given the equation:
1600 - 16T^2 = 0
Add 16T^2 to both sides
1600 = 16T^2
Divide both sides by 16
100 = T^2
Take the square root of both sides
10 = T
Therefore the bolt will hit the ground after 10 seconds.</span>