#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
(multiply both sides by
)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
Answer:
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Answer:
2 x^4
Step-by-step explanation:
Recall that the GCF is the greatest of the product of factors that are common to all these three expressions
then for the pure numerical part, the factor common to 50, -10 , and 2 is "2"
and for the variable part x^4 is the largest common to all three expressions.
Therefore the GCF is: 2 x^4
Answer:
180 pages
Step-by-step explanation:
Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;
number of pages = time × speed
= (4 × 60) × 25
= 240 ×25
= 6000 pages
Thus, number of pages photocopied in 4 hours is 6000.
For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;
= 
× 3
= 60 × 3
= 180 pages
The expected number of pages with printing error during 4 hour photocopying session is 180 pages.
Carousel : 2 x $4 = $8
Snow cone: $4.50
--------------------
$8 + $4.50 = $12.50
The total amount they pay: $5 + $12.75 = $17.75
$17.75 - $12.50 = $5.25
Jumbo pretzel ticket costs $5.25
