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Vikentia [17]
3 years ago
13

Will 6,8, and 14 form a triangle

Mathematics
1 answer:
katrin [286]3 years ago
3 0
No, you can't form a triangle. 
6+8=14 and you can't build a triangle.
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Write an equation for the nth term of the arithmetic sequence. Then find a50.
julia-pushkina [17]

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

<h3>A(n) =  \frac{1}{3}  + (n - 1) \frac{1}{6}  \\  =  \frac{1}{ 3}  -  \frac{1}{6}   +  \frac{1}{6} n</h3>

So the nth term of the sequence is

<h3>A(n) =  \frac{1}{6}  +  \frac{1}{6}n</h3>

For a50 since we are finding the 50th term

n = 50

So we have

<h3>A(50) =  \frac{1}{6}  +  \frac{1}{6} (50) \\  =  \frac{1}{6}  +  \frac{25}{3}</h3>

We have the final answer as

<h3>A(50) =  \frac{17}{2}</h3>

Hope this helps you

4 0
3 years ago
What is the equation of the asymptote? f (x) = 3^x-5+1<br> y=?
Natasha_Volkova [10]

The equation of the asymptote is y=1

Explanation:

The given equation is f(x)=3^{x-5}+1

We need to determine the horizontal asymptote of the equation.

The given equation is of the exponential function of the form f(x)=c \cdot n^{a x+b}+k and has a horizontal asymptote y=k

Hence, from the above equation, the value of k is 1.

Therefore, we have,

k=1

Thus, the horizontal asymptote is y=1

Therefore, the asymptote of the equation is y=1

4 0
3 years ago
2.1<br> Construct an independent Equilateral triangle as follows:<br> 10 cm side with vertices ABC.
Masteriza [31]

Step-by-step explanation:

First draw a straight line

then mark a point A on the line

after take the compass and take 10 cm size

then keep the compass on A and draw the arc its B

then keep the point on B and draw arc to A

next keep the compass on A draw arc on same length

to upside to line do same thing from point B to upside

mark a point meeting borth arcs its c

all ABC triangle

6 0
2 years ago
What is the surface area of a triangular pyramid if each face has an area of 30mm squared?
netineya [11]
I hope this helps you



3 triangles area+square area


3.30+30


90+30


120
3 0
3 years ago
Read 2 more answers
Whats the area of 5 and 16
icang [17]

Answer:

The area of a shape that has a length of 5 and a width of 16 is 80.

Step-by-step explanation:

Just multiply 5 by 16.

5 0
3 years ago
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