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12345 [234]
3 years ago
14

7. what is the value of x

Mathematics
2 answers:
frozen [14]3 years ago
8 0

Answer:

x = 18.5

Step-by-step explanation:

tangent is opposite over adjacent

tan 51 = x/15

solve for x

be sure your calculator is in Degree mode.

x = tan 51 * 15

andrew-mc [135]3 years ago
7 0

Answer:

x ≈ 18.52

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan51° = \frac{opposite}{adjacent} = \frac{x}{15}

Multiply both sides by 15

15 × tan51° = x, thus

x ≈ 18.52 ( to 2 dec. places )

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Please please please help me please
Step2247 [10]

Answer:

Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.

These are integer sequences.

The sum of the two previous terms can be represented by:

fn = fn-1 + fn-2.

These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.

Ln = { 2 if n = 0

1 if n = 1

Ln-1 + Ln-2 if n > 1

________________

Fn+1 + Fn-1 = Ln

___________________

f(0) = -1

f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11

________________________________

f(12) = 199

________

f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....

given f(n) = f(n-1) + f(n-2)

____________________

f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =

f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =

f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =

f(10) + f(11) = f(12) →

f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =

7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =

47 + [76] = 76 + [123] = <u>199</u>

_____________________

Explicit formula

for n is an integer.

Nth term of the lucas sequence.

As you can see, the golden ratio

( 1 + √5 / 2) appears in here.

L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹

6 0
3 years ago
Two angles in a triangle are 30 degrees and 40 degrees. Find the missing angle measure. Please show your math work step by step
brilliants [131]

Answer:

110

Step-by-step explanation:

Hello There!

If you didn't know the rule about angles in a triangle is that they have a sum of 180

So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180

so the missing angle = 180 - 30 - 40

180 - 30 = 150

150 - 40 = 110

so the missing angle = 110

5 0
2 years ago
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some
Tamiku [17]
Your answer: A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches ... brainly.com/question/18026512
7 0
2 years ago
(q^4)^z= q^12 find the value of z
juin [17]

Answer:

z = 3

Step-by-step explanation:

we use the method

(x^a)^b = x^(a*b)

so

(q^4)^z = q^(4*z)

now

4*z = 12

z = 12 / 4

so

z = 3

4 0
3 years ago
Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answe
notsponge [240]

Answer:

16.97

Step-by-step explanation:

Therefore b= 16.97

8 0
2 years ago
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