Answer:
1. 14
2.400 pieces
Step-by-step explanation:
1. 8.02+6.1= 14.12, since its less than 14.5 you must round down to 14
2. remember 1 meter is 100 centimeters, thus to find how many centimeters are in 24 m multiply 100 by 24. this will get 2400 centimeters
divide 2400/6 and you will get 400
The graphs of the given equations are parallel.
<h3>What is the slope-intercept form of a line?</h3>
The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equations are y = x +10 and y = x+5.
The equations are in the slope-intercept form of y = mx +b.
Therefore, the slopes of both lines are 1.
Two lines are parallel if they have the same slope.
Therefore, the graphs of the given equations are parallel.
To learn more about the slope-intercept form of a line, click here:
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Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
8z +3 - 2z < 51
6z + 3 < 51
-3. -3
6z < 48
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6. 6
z<8