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3 years ago

PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth

Mathematics

2 answers:

galben [10]3 years ago

5 0

Answer:

D.) x = 5.29

Step-by-step explanation:

first find the last angle measure 180-90-54=36

use law of sines to find x

sin90/9=sin36/x

(sin90)(x) = (sin36)(9)

(sin90)(x) = 5.29

x = 5.29

Likurg_2 [28]3 years ago

3 0

Answer:

Step-by-step explanation:

We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.

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AlladinOne [14]

If a is the first term of an AP with common difference -2, then the first several terms are

a, a - 2, a - 4, a - 6, a - 8, …

with n-th term a - 2 (n - 1).

The sum of the first n terms is equal to the sum of the first 3n terms :

$\displaystyle \sum_{i=1}^n (a-2(i-1)) = \sum_{i=1}^{3n} (a-2(i-1))$

We have

$\displaystyle \sum_{i=1}^N (a-2(i-1)) = (a+2)\sum_{i=1}^N - 2\sum_{i=1}^Ni = (a+2)N - 2\cdot\dfrac{N(N+1)}2 = (a+1)N-N^2$

so that in the previous equation, the sums reduce to

$(a+1)n-n^2 = (a+1)(3n)-(3n)^2$

Solve for a :

$(a+1)n-n^2 = (a+1)(3n)-(3n)^2 \\\\ (a+1)n-n^2 = (a+1)(3n)-9n^2 \\\\ 9n^2-n^2 = (a+1)(3n)-(a+1)n \\\\ 8n^2 = (a+1)(2n) \\\\ 4n = a+1 \\\\ \boxed{a=4n-1}$

Now if a = 27, we have

27 = 4n - 1

28 = 4n

n = 7

as required.

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2 years ago

The sum of y and fourteen is five. What is the value of y? a.19 b.11 c.-9 d.-19

otez555 [7]

Answer:

Step-by-step explanation:

y+14=5

-14 -14

y=-9

Hope it helps :)

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3 years ago

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4 years ago

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Alja [10]

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2 years ago

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kari74 [83]

Answer:

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Step-by-step explanation:

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4 years ago