The equivalent pair of the given expression is; [4.8] and [3.21]
<h3>How to find equivalent pairs?</h3>
Floor function states that the greatest integer that is less than or equal to x. It is represented by: ⌊ x ⌋.
Ceiling function states that the least integer that is greater than or equal to x. It is represented by ⌈ x ⌉.
Kareem wrote the expressions;
[3.2] [2.7] [2.9] [4.8]
By definition above;
[3.2] = 4
[2.7] = 2
[2.9] = 3
[4.8] = 4
Thus, the equivalent pair is [4.8] and [3.2]
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1.)
10/15 ÷ 5
= 2/3
2.)
7/21 ÷ 7
= 1/3
<span>Average mass of a kernel of popcorn = 0.125 g
</span><span>1 pound = 16 ounces, and 1 ounce = 28.3 g
</span><span>how many kernels of popcorn are there in 0.500 pounds of popcorn = ?
0.500 pound = 16 x 0.500 ounces = 8 ounces
8 ounces = 8 x 28.3g = 226.4 g
Now divide this quantity by average mass;
226.4 / 0.125
= 811.2 kernels of popcorn</span>
Answer:
The answer to your question is:
Step-by-step explanation:
Data
B = 70°
c = 14
Process
sin Ф = b / c
b = c sinФ
b = 14 sin 70
b = 14 x 0.94
b = 13.16
cos Ф = a/c
a = c x cos Ф
a = 14 cos 70
a = 14 x 0.34
a = 4.76
C = 90° it is a right angle
A = 180 - 90 - 70
A = 180 - 160
A = 20°
X + y = 51
x - y =15
2x = 66
x = 33
33 + y = 51
y = 18