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ycow [4]
2 years ago
7

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from th

e airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
A. 403 m
B. 405 m
C. 4611 m
D. 4647 m

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0
B) 405 m
tan(5) = x/4629
4629tan(5) = 404.9
Round up
x=405 m
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A bakery used 25% more butter this month that last month. If the bakery used 240 kilograms of butter last month, how much did it
SCORPION-xisa [38]

Answer:

300kg

Step-by-step explanation:

240(25/100)

240(.25) = 60

25% of 240 = 60, so add that 60 to get an extra 25% for this month

240 + 60 = 300

6 0
3 years ago
Read 2 more answers
At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equatio
andriy [413]

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. P = 400 ( 1.2 )^ t Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(C) 1040

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as P = 400 ( 1.2 )^ t

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year    value of t

2006-    t = 0

2007-    t  = 1

2008-    t = 2

2009     t = 3

No of people in 2009 will be

P = 400(1.2)^3

     = 400*1.728

   P  = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

               = 691 - 400

                = 291

The increase in the population at the end of 2009 is 291 people.

4 0
3 years ago
Find smallest number which on adding to 19 it is exactly divisible by 28,36 and 45 (LCM).
BabaBlast [244]

Answer:

1241

Step-by-step explanation:

∴

L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260

∴

the required number is 1260 - 19 = 1241

Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.

7 0
9 months ago
Please i need this answer in two minutes
Travka [436]

Answer: $55,489.20

Step-by-step explanation:

Given the following information :

Base salary = $10.20 per hour

Overtime pay = $10.20 * 1.5 = $15.3

Average sale per hour = $60

Tips = 20% of sale

Regular shift hour = 8hours

Work week:

3 10-hour shift = 24hrs regular (6 hrs overtime)

1 11 - hour shift = 8hrs regular (3 hrs overtime)

1 5 - hour shift = 5 hours

Total hours per week = 37hrs regular, 9hrs overtime

WEEKLY :

Income from tips = $60 * 46 * 0.2 = $552

Regular pay: 37 * 10.20 = $377.40

Overtime: 9 * $15.30 = $137.70

Total = $(137.70 + 377.40 + 552) = $1067.10

Number of weeks in a year = 52

Annual gross = $1067.10 * 52 = $55,489.20

7 0
2 years ago
45 POINTS* The figure is reflected across the line M and then reflected across the line N. What is the resulting transformation?
Sergio039 [100]

Answer:

Reflection

Step-by-step explanation:

6 0
3 years ago
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