Answer:
Step-by-step explanation:
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
Answer:
Total items = $39.90
Sales tax amount = $3.7905
Total cost = $43.691
The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items
Step-by-step explanation:
Dress = $24.95
Skirt = $14.95
steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Correct steps:
Total items = dress + skirt
= $24.95 + $14.95
= $39.90
Sales tax = 9.5%
Sales tax amount = 9.5% of total
= 9.5/100 × $39.90
= 0.095 × 39.90
= $3.7905
Total cost = Total + sales tax amount
= $39.90 + $3.7905
= $43.6905
To the nearest hundredth
= $43.691
Sales tax is the amount of money imposed by government on the sales of some items
Total cost is the cost of all items including sales tax
Length =l
Height = h
Area function = l * h = 924
Perimeter function = 2i + 2h = 122
Divide by 2
I + h = 61.
Plug in I or h for the other variable
I * (61 - I) = 924
61i - i^2 = 924
Factor the function
(-I + 28)(I - 33) = 0
l = 33 as l cannot be negative
61 - 33 = 28
h = 28
Difference between h and l is 33-28=5
First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:
7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.
In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28) = 16.26°
the other acute angle = (90° - 16.26°) = 73.74°
In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹ (0.4706...) = 28.07°
the other acute angle = (90° - 28.07°) = 61.93°
I'm sorry, but just now, I don't know how to do the
third triangle in the question.
