1/2=0.5
3/0.5=6
So 6 portions of clay means 6 students.
Hello,
I am not doing that with sin, cos and pythagorean theorem.
DEFINITION: we call TAN x=sin x / cos x
This means that in a right triangle the tangent of an angle is the ration of opposed side by adjacent side.
11: tan 8°=12.5/d
==>d=12.5/tan 8°=12.5/0.14054...=88.942121...m≈88.9 (m)
12:
tan 28°=h/420
==>h=420*tan 28°=420*0.5317...=223.3179...≈223.3 (m)
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
<u>x = 2</u>
<u>y = 4</u>
<span>x ≤ -2, where x must be less (hence the <'s wider/open side pointing to -2 while the smaller/closed side is pointing at the x. This indicates that -2 is greater than x, thus we have to find a number less than -2 to solve for x.), or equal to (hence the underbar [ _ ] that means equivalent) -2.
A) is incorrect because it's -2, and it is a solution because it is equivalent and is -2. -2 = -2.
B) is incorrect because -2.45 is farther from 0 than -2 is, thus making -2.45 less than -2. It's a solution.
C) is incorrect because -8 is farther from 0 than -2 is, so, like B, it's less than -2. Therefore it's a solution. Note that it's like the opposite with negative numbers. The greater numbers or the numbers farther from 0 equals the lesser numbers and the lesser numbers/ numbers closer to 0 equal the greater numbers. Say for instance, 100 is usually greater than 10 correct? In negative integers -100 is smaller than -10 given that -100 way farther from 0 compared to -10.
D) -1.76 is the answer, because it is closer to 0 than -2 is, thus the greater number. X cannot be higher than -2. So this is not a solution. </span>
Answer: The blue dot is at -6