Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer: 0.6934%
Step-by-step explanation:
Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true
If 37% of high school students said that the exercise regularly, the
probability that 5 students who are randomly selected will say thay they exercise regularly will be:
= (37/100)^5=0.006934
= 0.6934%
Step-by-step explanation:
For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.
hope that help you
Answer: 
Step-by-step explanation:
The slope of a line equals to the difference between points' y-coordinates divided by the difference between their x-coordinates.
That is, if
and
are the point of a line,
Then the slope of the line is,

By the given diagram,
,
,
and 
Thus, the slope of the given line
= 
⇒ Fourth option is correct.