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miss Akunina [59]
3 years ago
10

an actor is 6ft tall. on a billboard the actors height in the picture is 16.8. what is the scale factor

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

Scale Factor (small to large) is 2.8

Step-by-step explanation:

The scale factor is "how many times" it is larger.

If we have an actual quantity be "a" and the enlarged quantity be "b" and we let the scale factor be "k", we can write the equation shown below:

ka=b

So, we basically mean "what number" (scale factor) should be multiply with the actual value (smaller one) to get the enlarged value (bigger one). From the problem, we can write:

\k(6)=16.8

Now we find "k", the scale factor:

k(6)=16.8\\k=\frac{16.8}{6}\\k=2.8

Hence, the scale factor is 2.8

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Find the two numbers. <br> X + 3x - 7 = 61
bazaltina [42]

Answer:

x= 17

Step-by-step explanation:

combine like terms

4x-7=61

4x=68

x=17

7 0
4 years ago
Find tan , sin , and seco, where 0 is the angle shown in the figure.
kicyunya [14]

Answer:

  • tan(θ) = 5/3
  • sin(θ) = 5√34/34
  • sec(θ) = √34/3

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

  h = √(3² +5²) = √34

The trig functions are the ratios of sides:

  Tan = Opposite/Adjacent

  tan(θ) = 5/3

__

  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

__

  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3

3 0
3 years ago
I am so confused and im really struggling and this is the only question i need ​
icang [17]

A polynomial of degree 3 has exactly 3 solutions if we use complex numbers. If the polynomial has real coefficients and z is a complex solution, i.e., p(z)=0, the conjugate is also a solution: p(\overline{z})=0

So, in the first case, if we know that 1-i is a solution, the conjugate 1+i must be a solution as well.

So, we know all the roots: -5, 1+i, 1-i.

When you know the solutions x_1,\ x_2,\ldots,\ x_n of a polynomial, you can write the polynomial (up to multiples) as

p=(x-x_1)(x-x_2)\ldots(x-x_n)

So, in your case, we have

p(x) = (x+5)(x-1-i)(x-1+i) = x^3+3x^2-8x+10

You can check that indeed p(0)=10, because the constant term is 10, so, we're ok with this

The second exercise is exactly the same: the solutions -6, i, -i identify the polynomial

p(x)=(x+6)(x-i)(x+i)=x^3+6x^2+x+6

In this case, P(-3)=30, so if we want P(-3)=60 we have to multiply everything by 2:

p(x)=2x^3+12x^2+2x+12

3 0
3 years ago
Which of these is an exponential function?
zhenek [66]

B and D. You are welcome.

3 0
4 years ago
Read 2 more answers
28°<br> 58<br> F<br> What is the value of the missing angle?
dedylja [7]
Your answer is 94.

180-(28+58) gives you

180-86

=94
5 0
3 years ago
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