x + 3 < 4x - 12 or 4x - 12 < 20
<u>-x </u> <u> -x </u> <u> +12 </u> <u>+12 </u>
3 < 3x - 12 or 4x < 32
<u> +12</u> <u> +12 </u> <u> ÷4 </u> <u>÷4 </u>
15 < 3x or x < 8
<u> ÷3</u> <u>÷3 </u>
5 < x
5 < x < 8
Graph: 5 o---------------o 8
Answer:
0.3745
Step-by-step explanation:
Data
mean (
): 80
standard deviation (
): 4
Normal distribution table is in figure attached
.
Z = (85 - 80)/4 = 1.25
Area below curve = 0.3944
Z = (82 - 80)/4 = 0.5
Area below curve = 0.0199
Proportion of exam scores between 82 and 85?
0.3944 - 0.0199 = 0.3745
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Check the picture below.
notice that 146° is sitting on a flat-line, and thus it has a sibling linear angle, namely 34°.
now, recalling that a triangle has a sum of 180° for all interior angles, the missing one is 126°, and incidentally that is a corresponding angle with "c".
If I am correct, it should be $2,736.
if this is a re-sell, then you would have to add the loss to the selling price to get the original cost.
loss means how much was lost in profit, so whenever you see that make sure to add it to whatever is applicable, like in this case, $2,640.
