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3 years ago

This pair of figures is similar. Find the missing side.

Mathematics

1 answer:

padilas [110]3 years ago

3 0

Answer: The value of x is 63

Step-by-step explanation:

Figure show two quadrilateral,

It is given that two quadrilateral are similar quadrilateral.

We know that

The respective sides of similar quadrilateral ( Like similar triangle) are in the ratio

We can write,

$\frac{90}{10} =\frac{x}{7}$

9=\frac{x}{7}[/tex]

x=63

Therefore, The value of x is 63

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A large company put out an advertisement in a magazine for a job

vova2212 [387]

Answer:

C(19)=12 responses

Step-by-step explanation:

Exponential Decay Function

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

$C(t)=90\cdot(1-0.1)^t$

Calculating:

$C(t)=90\cdot(0.9)^t$

We are required to calculate the number of responses at day t=19, thus:

$C(19)=90\cdot(0.9)^{19}$

C(19)=12 responses

8 0

3 years ago

A 65-story office tower has a height of 910 feet. Write an expression to find the height of each story. Then, use the expression

gizmo_the_mogwai [7]

Assuming each story is the same height
910=65 stories put together
910=65 times (height of each story)
910=65h
divide both sides by 65
14=h
each story is 14 feet

the equation is 910=65h

4 0

3 years ago

Read 2 more answers

Find the complex zeros of x^3+27. write f in factored form

aliina [53]

$x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0

$

4 0

3 years ago

Solve for x x + y = 1 x + 7y = -4 2x - 6y = 4 5x + 15y = -10 2x + 6y = 10

Arada [10]

X + y = 1
add - y both sides
x + y + - y = 1 + - y
x = - y + 1
Answer: x = - y + 1
Graph: y = - x + 1

x + 7y = - 4
add - 7 both sides
x + 7y + - 7y = - 4 + -7y
x = - 7y - 4
Answer: x = - 7y - 4
Graph: y = 0.142857x - 0.571429

2x - 6y = 4
add 6y to both sides
2x - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x - 0.666667

5x + 15y = - 10
add - 15 to both sides
5x + 15y + - 15y = - 10 + - 15y
5x = - 15y - 10
divide both sides by 5
5x/5 = - 15y - 10/5
x = - 3y - 2
Answer: x = - 3y - 2
Graph: y = - 0.333333x - 0.666667

2x + 6y = 10
add - 6y to both sides
2x + 6y + - 6y = 10 + - 6y
2x = - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x = - 3y + 5
Answer: x = -3y + 5
Graph: y = - 0.333333x + 1.666667

Hope that helps!!!

8 0

3 years ago

Let f(x) = -2x + 4 and g(x) = 5x - 7. Find f(x) - g(x).

balandron [24]

Answer:

If you are just looking for a simplified answer then the answer is -7x - 3.

4 0

3 years ago