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Kryger [21]
3 years ago
8

Please Help!!!!!!!!!!!

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

C) C=40°, a= 10.1 , c=6.72

Step-by-step explanation:

C= 180-105-35

C=40°

Next using Sine rule,

\frac{a}{sinA}=\frac{c}{sinC}  =\frac{b}{sinB}

where A=105°, C=40° , B =35° and b = 6.

\frac{a}{sin105}=\frac{c}{sin40}  =\frac{6}{sin35}

Solve for a and c

a= \frac{6}{sin35} (sin105)

a= 10.1

c = \frac{6}{sin35} (sin40)

c=6.72

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Consider the following series. 1 4 + 1 8 + 1 12 + 1 16 + 1 20 Determine whether the series is convergent or divergent. Justify y
patriot [66]

Answer:

The series diverges

Step-by-step explanation:

First, let's find the sequence:

4, 8, 12, 16, 20,...,

As we can see, they are multiples of 4, so one possible sequence is:

4,8,12,16,20,...,=4n\hspace{8};\hspace{3}n\in Z

Hence, we can represent the series as:

$$\sum_{n=1}^{\infty} 4n

Let's use the zero test which states:

$$\Sigma a_n$$\\Diverges\hspace{3}if\\\\ \lim_{n \to \infty} a_n \neq 0

So:

\lim_{n \to \infty} 4n= 4 \lim_{n \to \infty} n\\ \\ \lim_{n \to \infty} n=\infty\\ \\4\infty= \infty\\\\Hence\\\\ \lim_{n \to \infty} 4n=\infty

Therefore, by the zero test, the series diverges

3 0
3 years ago
For the function F defined by F(x)=x^2-2x+4 find F(2b-1).
Leni [432]

Answer:

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Step-by-step explanation:

Replace all the x with 2b-1

F(x) = x² - 2x + 4

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= 4b² - 4b + 1 - 2b + 4

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5 0
3 years ago
1+4=5<br>2+3=10<br>10+5=25<br>4+1?<br>​
malfutka [58]
The puzzle is
1+1(4)
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etc
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5 0
3 years ago
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Answer: The answer is NO. Explained below.


Step-by-step explanation:  Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

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For a proportional relationship, we need a relation of the form

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For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship  between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.


5 0
3 years ago
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3 0
3 years ago
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