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3 years ago

Which number comes next in this series A) 4 B) 21 C) 31 D) 34

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

What is the series you are referring too?

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Find the perimeter of triangle ABC.

Harlamova29_29 [7]

By definition, the perimeter of the triangle is the sum of its sides.
We must then use the formula of distance between points:
$d = \sqrt{(x2-x1) ^ 2 + (y2-y1) ^ 2}$
We now look for the longitus for each of the sides:

For L1:
$L1 = \sqrt{(6-2)^2 + (6-2)^2}$
$L1 = \sqrt{32} 
$
$L1 = 4\sqrt{2}$

For L2:
$L2 = \sqrt{(7-2)^2 + (-3-2)^2}$
$L2 = \sqrt{50}$
$L2 = 5\sqrt{2}$

For L3:
$L3 = \sqrt{(7-6)^2 + (-3-6)^2}$
$L3 = \sqrt{82}$

Then, the perimeter is given by:
P = L1 + L2 + L3
Substituting values we have:
$P = 4\sqrt{2} + 5\sqrt{2} + \sqrt{82} 

P = 9\sqrt{2} + \sqrt{82}$

Answer:
the perimeter of triangle ABC is:
none of the above.

5 0

3 years ago

Read 2 more answers

Kylie Matsumoto is a set designer. Her annual salary is $ 45,320. Kylie's semimonthly salary is $ _________.

serg [7]

3776.67 is the answer. Since 45,320 divided by 12 = 3776.67 (rounded to the nearest tenth)

7 0

2 years ago

Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r

tia_tia [17]

Answer:

(a) Growth

$(b)\ y = 146(1.24)^x$

Step-by-step explanation:

Given

$a= 146$ -- current

$r = 24\%$ --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

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<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

$y = a(1 + r)^x$

Substitute: $a= 146$ and $r = 24\%$

$y = 146 * (1 + 24\%)^x$

$y = 146 * (1 + 0.24)^x$

$y = 146 * (1.24)^x$

$y = 146(1.24)^x$

5 0

3 years ago

1.Find the dot product of the two given vectors, u=(1,6) and v=(-5,-2) 2. Find the dot product of v=-7i+4j and w=-6i+5j

Svet_ta [14]

The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j

Hence the answer is:
v*w=(-42i+20j)

8 0

3 years ago

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What is the difference of the polynomials?

drek231 [11]

Answer:

In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Solberg's polynomials, and the Stirling interpolation polynomials as special cases.

Step-by-step explanation:

6 0

3 years ago