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iris [78.8K]
3 years ago
9

How do I solve for X?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

The value of x in the special right triangle is 39.60 ft.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

1 / 2 = 7 / b

b = 14 ft

Let's use the value(14 ft) to find the height of the biggest triangle.

sin 30 = opposite / hypotenuse

sin 30 = 14 / h

0.5h = 14

h = 14 / 0.5

h = 28 ft

Therefore, let's find the value of x .

sin 45° = 28 / x

x = 28 / 0.70710678118

x = 39.5979797464

x = 39.60 ft

learn more on right triangle here: brainly.com/question/10412877

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3 years ago
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
qwelly [4]

Answer:

A)

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

\displaystyle \frac{dx}{dt}=\frac{3}{2}

Step-by-step explanation:

<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

xy=6

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:

\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]

By the Product Rule and rewriting:

\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0

Therefore:

\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0

A)

We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.

Using our original equation, find <em>y</em> when <em>x</em> = 4:

\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}

Therefore:

\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0

Solve for dy/dt:

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.

Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

(1)y=6\Rightarrow y=6

Therefore:

\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0

Solve for dx/dt:

\displaystyle \frac{dx}{dt}=\frac{3}{2}

5 0
3 years ago
U guys are mean and never answer my questions, like i paid for no one to answer my question
Sav [38]

Answer:

Step-by-step explanation:

You have no grounds for making a statement like that.  There are a variety of reasons why you might not get immediate answers.  Be patient.

I will do the second part of this question (finding the first three numbers):

a(4) = a(3)*(-3) + 2 = -148, so a(3)*(-3) = -150 and a(3) = -50

a(3) = 50

a(2) = a(3)*(-3) + 2 = 50, so -3*a(3) = 48 and a(d) = -16

a(1) = a(2)*(-3) + 2 = -16, so a(2)*(-3) = -18 and a(1) = 6

The procedure for finding a(5), a(6) and a(7) is exactly the same.

3 0
3 years ago
Find the common ratio of the geometric sequence 8 , 16 , 32 , . . . 8,16,32,...
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What do the 300 and 10 in the diagram represent….PLEASE I NEED HELP FAST
horsena [70]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
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