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3 years ago

Please help! the question is in the attarchment!

Mathematics

1 answer:

DaniilM [7]3 years ago

8 0

Answer:

1000( l + b)

Step-by-step explanation:

2(500l + 500b)

=500 (2(l+b))

=1000

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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

2 years ago

Which number is a factor of 12 but not a multiple of 3?

Delvig [45]

First list all the factors of 12;

1, 2, 3, 4, 6, 12

now let's see which ones are multiples of 3;

3, 6, 12

so all we have left are numbers 1, 2 and 4.

hope that helps, God bless!

6 0

3 years ago

Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...

melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

8+4 = 12

12+4 = 16 and so on.

Since the next term is obtained by adding 4 to the previous term.

So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, ....

Verification:

f(n) = f(n-1) + 4

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

f(2) = f(2-1) + 4

f(2) = f(1) + 4

f(2) = 4 + 4

f(2) = 8

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

f(3) = f(3-1) + 4

f(3) = f(2) + 4

So, adding 4 in f(2)=8 would give us the next term i.e. 12

f(3) = 8 + 4

f(3) = 12

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly

7 0

2 years ago

Which of the following proportions is true? 4/16=2/14 15/20=24/36 12/15=47/50 16/36=12/27

KengaRu [80]

The correct proportion is 16/36=12/27

4 0

3 years ago

Help only need 44 please help

Lady bird [3.3K]

44.

1. Given

2. Vertical angles are congruent

3. angle 1 congruent to angle 5

4. Def congruence

7 0

3 years ago

Read 2 more answers