1. In the metric system of the SI unit meters, 1 meter is equal to 1,000 millimeter. So, the conversion solution is as follows:
254 mm*(1 m/1,000 mm) = 0.254 m
2. The perimeter of a rectangle is equal to
P = 2L + 2W
where
L is the length
W is the width
Since the l<span>ength of a rectangle is one unit shorter than one-sixth of the width, x, the equation would be
W=x
L = 1/6x - 1
Substituting,
P = 2(1/6x - 1) + 2x
P = 1/3x - 2 + 2x
P = 7/3x - 2
3. The given data is 2 parts per second. To determine the parts per shift, we apply the dimensional analysis approach. The solution is as follows:
(2 parts/second)*(3,600 s/1 h)*(10 h/shift) = 72,000 parts per shift</span>
Answer: x≤6
Step-by-step explanation:
1. Simplify 5/3xto 5x/3.
5x/3≤10
2.Multiply both sides by 3.
5x≤10×35x
3. Simplify 10×3 to 30.
5x≤30
4. Divide both sides by 5.
x≤30/5x
5. Simplify 30/5 to 6.
x≤6
Answer:
109.5; B
Step-by-step explanation:
From your identity,
CosA = adjacent/ hypothenus
A represent an arbitrary angle between the sides in question.
In the question above, A=64
Hypothenus is the longest side and adjacent is the side just below the angle .
In the above case,
Hypothenus= X
adjacent =48
This means;
Cos64 = 48 /X
X = 48 / cos64; [ from cross multiplication and diving through by cos64]
X = 48 /0.4383 [ cos64 in radian = 0.4383]
= 109.51
= 109.5 to the nearest tenth.
Note( do your calculation of angle in radian or else, you won't get the answer)
<span>Simplifying
g(r) = -5r + 13
Multiply g * r
gr = -5r + 13
Reorder the terms:
gr = 13 + -5r
Solving
gr = 13 + -5r
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Divide each side by 'r'.
g = 13r-1 + -5
Simplifying
g = 13r-1 + -5
Reorder the terms:
g = -5 + 13r<span>-1</span></span>