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Mathematics

1 answer:

const2013 [10]3 years ago

3 0

Hello.

Taking a look at our screenshot provided, we can conclude that we need to find the missing angle degree out of 90 degrees, as we are dealing with a right angle.

Let's set this up as an Algebraic formula and solve for the variable;
5x + 15 + 50 = 90

First, let's combine like-terms (15 and 50).

5x + 65 = 90

Now, isolate our variable by subtracting 65 from each side of the equation.

90 - 65 = 25
65 - 65 = 0

5x = 25

Now, divide both sides by 5 to solve for x, our missing angle degree.

x = 5

Your answer is A.) 5

I hope this helps!

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Reil [10]

Answer:

27/100

Step-by-step explanation:

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An airplane travels 6032 kilometers against the wind in 8 hours and 7312 kilometers with the wind in the same amount of time. Wh

Vladimir79 [104]

Answer:

The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.

Step-by-step explanation:

The airplane travels 6032 km in 8 hours against the wind.

So, $u -v = \frac{6032}{8} = 754$ ........ (1) {Where u is the speed of plane in still air and v is the wind speed}

Again, the airplane travels 7312 km in 8 hours with the wind.

So, $u +v=\frac{7312}{8} =914$ ........ (2)

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3 years ago

Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$