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Phoenix [80]
2 years ago
12

Please help with this!!!

Mathematics
1 answer:
a_sh-v [17]2 years ago
8 0

Answer:

z = 123.9

Step-by-step explanation:

We can use trigonometric functions, because we have a right triangle.  We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.

tan 20 = opposite/ adjacent

tan 20 = 45.1/z

Multiply each side by z

z* tan 20 = 45.1 /z * z

z * tan 20 =45.1

Divide each side by tan 20

z = 45.1 / tan 20

z=123.9112316

To one decimal place,

z = 123.9

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A potato chip company makes chips to fill snack-size bags and family size bag. in one week production cannot exceed 2400 units,
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Answer:

600 units of for snack-size, 1800 units for family-size

Step-by-step explanation:

7 0
2 years ago
The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio
8090 [49]

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

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Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

6 0
2 years ago
Read 2 more answers
You and a friend each randomly draw a card from a standard deck. What is the probability that at least one of you is holding a f
Andreyy89

Answer:

0.24

Step-by-step explanation:

Total cards = 52

Face cards = heart {K,Q,J} , Spade {K,Q,J} , Club {K,Q,J} , Diamond{K,Q,J} = 12

Now we are given that You and a friend each randomly draw a card from a standard deck.

Probability that no one getting face card:

Favorable events = total cards - face cards = 52 -12= 40

Total cards = 52

So, probability that no one is getting face card = \frac{40}{52} =0.76

Now we are supposed to find the probability that at least one of you is holding a face card

So, probability = 1 - probability that no one is getting face card

                        =1 - 0.76

                        = 0.24

So, probability that at least one of you is holding a face card is 0.24

8 0
2 years ago
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An ant has a mass of 0.005 gram. A grasshopper has a mass 0.5 gram..How many ants would it take to equal the mass of 1 grasshopp
lesya692 [45]

Answer:

Step-by-step explanation:

Just divide the larger mass by the smaller.

0.5 / 0.005 = 0.5 / 0.5 * 10^-2 = 1 * 10^2 = 100

It take 100 ants to equal the mass of a grasshopper.

4 0
1 year ago
The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is he
meriva
Emma’s age is 26 and her sister is 15 because 26 - 15 = 11 (The age that Emma is older by) and once you add 26 and 15, it equals 41
7 0
2 years ago
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