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raketka [301]
3 years ago
15

A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the

flagpole to the nearest metre
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

  23 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...

  Tan = Opposite/Adjacent

  tan(48°) = h/(21 m)

  h = (21 m)tan(48°) ≈ 23.32 m

The height of the flagpole is about 23 meters.

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Find the indicated sum.
OlgaM077 [116]

Answer:

B. 70

Step-by-step explanation:

We have the sum given by \sum_{i=1}^{5}(i+11)).

Now, we open the summation by substituting the values of 'i',

i.e. \sum_{i=1}^{5}(i+11)). = (1+11) + (2+11) + (3+11) +(4+11) +(5+11)

i.e. \sum_{i=1}^{5}(i+11)). = 12 + 13 + 14 + 15 + 16

i.e. \sum_{i=1}^{5}(i+11)). = 70.

Hence, the sum of \sum_{i=1}^{5}(i+11)). is 70.

So, option B is correct.

6 0
4 years ago
Solve the equation, showing each step of the solution.<br> -3x + 25 = 40
grin007 [14]

Answer:

x= -5

Step-by-step explanation:

-3x + 25 = 40

you want to put x terms on one side, numbers on another side

subtract 25 on both sides

-3x = 15

divide both sides by -3

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3 0
3 years ago
Read 2 more answers
Yvonne's car with an 11-gallon gas tank gets an average of 32 miles per gallon. She travels 12 hours at an average speed of 64 m
n200080 [17]

Answer:

$78

Step-by-step explanation:

Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.

_____________________________________________

Given

time = 12 hours

speed = 64 miles per hour

we know distance = speed * time

distance = 12*64 = 768 miles.

Thus, car ran 768 miles.

given that car gets an average of 32 miles per gallon.

It means in one gallon gasoline car travels 32 miles.

let the gallons used be x

in 1 gallon gasoline car travels 32 miles.

in 1*x gallon gasoline car travels 32*x miles = 32x

Thus, 32x should be equal to 768 miles as car traveled that much only

32x = 768 miles

x = 768/32 = 24

Thus, gallons of gasoline used is 24.

Cost of 1 gallon gasoline = $3.25

since, gallons found is 24, we multiply lHS and RHS by 24

Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78

Thus,

cost of 24 gallon is $78 which will be the gasoline cost for the trip.

6 0
3 years ago
Help I need to go to school in like 10 minutes
Vsevolod [243]
You just have to divide numbers, you can use a calculator too. 
8 0
4 years ago
Part B:
Marina86 [1]
Negative 72.75 is your product. It is very simple once you understand it.
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3 years ago
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