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3 years ago

Can anyone help me on this one? Thank you in advance!

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

$\bf \cfrac{4}{2(x-3)}=\cfrac{5}{3(14-x)}\implies \stackrel{\textit{distributing in the denominators}}{\cfrac{4}{2x-6}=\cfrac{5}{42-3x}} \\\\\\ 4(42-3x)=5(2x-6)\implies \stackrel{\textit{distributing again}}{168-12x=10x-30}\implies 198=22x \\\\\\ \cfrac{198}{22}=x\implies \boxed{9=x}$

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Please help with this

babunello [35]

Answer: Circle lines

Step-by-step explanation:

Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)

6 0

2 years ago

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .

4 0

3 years ago

Ellen claims she has a coin that is weighted so that the probability of heads is 70%.

kvasek [131]

<span>Outcome Heads Tails
Relative Frequency 0.69 0.31

so first statement is false as 69% is close to 70%.

second statement is false as heads probability is close to 70%

last 2 statements are true:

</span><span>The theoretical probability of tails is most likely 30%.

It is likely that the coin is not fair.
</span>

5 0

3 years ago

Read 2 more answers

Sara has 50 dollars to spend at an amusement park. Admission is 20 dollars, and tickets cost 1.50 per ride. Write an equation to

ra1l [238]

Answer:

Step-by-step explanation:

50 - 20 = 30

30 ÷ 1.50 = 20

4 0

3 years ago

2. Kerry has a $1,973-per-month mortgage payment. He decides to refinance his $204,000 balance at 5% over 20 years. What's his n

klemol [59]

The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by

... A = P(i/12)/(1 -(1 +i/12)^(-12t))

Filling in the given values, this is

... A = $204000(.05/12)/(1 -(1 +.05/12)^(-12·20)) ≈ $1346.31

5 0

3 years ago