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katrin2010 [14]
3 years ago
11

In ΔLMN, the measure of ∠N=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the measure of ∠L to the nearest tenth of a degree.

Mathematics
2 answers:
Tcecarenko [31]3 years ago
8 0

Answer:

L=43.6637≈43.7∘

Step-by-step explanation:

laila [671]3 years ago
7 0

Answer:

43.7

Step-by-step explanation:

SOH-CAH-TOA

cosL= adjacent/hypotenuse=6.8/9.4

cosL=6.8/9.4

L=cos^{-1}(6.8/9.4)

L=43.6637≈43.7^{o\\}

​

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wariber [46]
0.07, 0.13, 0.15, 0.16, 0.21, 0.28
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4 years ago
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Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
2 years ago
Read 2 more answers
Celestes bank charges 2.35 for every time she uses the ATM celestes uses the ATM to withdraw 20.00 on Monday and to deposit 75.0
Shkiper50 [21]

Answer:

she used for two times

so 2.35*2=4.7

her account balance charges for 4.7



4 0
3 years ago
True or false the values [x] and [-x] are always equal
RoseWind [281]

Answer:

If you mean |x| and |-x| yes they are equal.

Step-by-step explanation:

Brackets do not exactly specify the meaning of absolute value.

On most keyboards, above the enter button on the main keyboard part (not the keypad one) there is a back slash symbol \ and if you hold shift, there might be another symbol | which more accurately represents absolute value,

If you aren't talking about the absolute value, then no.

4 0
3 years ago
How can you quickly determine the number of roots a polynomial will have by looking at the equation?
Shtirlitz [24]

One can determine the number of roots by seeing the degree of the given polynomial.

The number of roots can be determined by just seeing the highest power of the given equation.

1) for the equation  x-4=0

here, the highest power of the equation is one. So, it will have one root.

<h3>What is the polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on,  and non-negative integer exponentiation of variables.

Let's check it by simplifying x-4=0  which implies x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

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here, the highest power of the equation is two. So, it will have two roots.

Let's check it by simplifying using the middle term splitting method,

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Thus, the equation has two roots.

Hence, one can determine the number of roots by seeing the degree of the given polynomial.

To learn more about the polynomial visit:

brainly.com/question/2833285

#SPJ1

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2 years ago
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