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3 years ago

5) What is the value of n in the picture? 3n n 14 A) 19 B) 33 C) 57 D) 41.5

Mathematics

2 answers:

Schach [20]3 years ago

5 0

That's super wrong .the answer cannot be 41.5 because if n=41.5 then 41.5 ×4 =166 +90 +14 =270 and that's wrong because in the diameter need have 180 not 270 so is 19×4+90+14=180 answer = 19

svetoff [14.1K]3 years ago

4 0

Ok. because those two angles are sumplimentary, (they equal 180 degrees) we can set up an equations.
3n+n+14=180

then isolate the variable
4n+14=180
-14 -14
4n=166

then divide to undo the multiplication

4n=166
--- ----
4 4

n=41.5

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3 years ago

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4 years ago

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Oksanka [162]

The answer is Option B $(x + 6)(x^2 + 8)$

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.

So polynomial can be grouped as

$(x^3 + 6x^2) + (8x + 48)$

Step 2:Find what's the common in each section.

In section $(x^3 + 6x^2)$ the come term is $x^2$

In section (8x + 48) the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out $x^2$ from the first section $(x^3 + 6x^2)$ , we get $x^2(x + 6)$

Factoring out 8 from the second section(8x + 48) , we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

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3 years ago

A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use

konstantin123 [22]

Answer:

$f(x)=5120(5)^{x}$

Step-by-step explanation:

From the image, f(x) and x are rlated by

$f(x)=a( {b})^{x}$

where b is the common ratio

We first find the value for b

$\frac{6400}{5120}= 5$

$\frac{8000}{6400}= 5$

$\frac{10000}{8000} = 5$

$\frac{12500}{10000} = 5$

$\frac{15625}{12500}=5$

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

$5120 = a(5)^{0}$

but

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Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

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6 0

3 years ago

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

3 0

3 years ago