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2 years ago

Need to be taught how to do this, thanks

Mathematics

1 answer:

inn [45]2 years ago

6 0

Answer:

x = 36.27

Step-by-step explanation:

By using the steps to find sin θ backwards, we can find x, the hypotenuse.

sin θ = $\frac{opposite}{hypotenuse}$ or side $\frac{a}{c}$ (as seen in my example picture).

We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.

So the equation now looks like:

sin 32° = $\frac{20}{x}$

Don't solve for the sin 32 yet! First, we have to isolate the variable.

To get rid of the x in the denominator you have to multiply both sides by x:

( sin 32 ) · x = ( $\frac{20}{x}$ ) · x

( sin 32 ) x = 20

Then, you have to divide both sides by sin 32 to get x by itself:

(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )

x = 20 ÷ ( sin 32 )

Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.

The question asks you to round to 2 decimal places so:

x = 36.27

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When the solutions are going to be complex, which methods can be used to solve quadratic equations?

yKpoI14uk [10]

You could complete the square to state the vertex.
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Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

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y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 2
c = 5

$\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}$
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x1 = -1 + 2i
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2 years ago

Do you know the longest English word that can be spelled without repeating any letter

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the

Ivan

Let $L$ be the line given by the vector equation

$(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}$ .

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by $\Pi_1$ . This is,

$\\\\\Pi_1 : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\$

We observe that $\vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0)$ . Therefore, the vector equation of $\Pi_1$ defines a plane and $\vec{N}$ is a normal vector to $\Pi_1.$

Finally, the vector equation for the wanted plane, which we denote by $\Pi$ , is

$\Pi : (-1,1,2) + r(3,2,4) + s(-3,12,3), r,s \in \mathbb{R} \ .$

Thus, if $s = 0$ , then $L \subset \Pi$ and since $\vec{N}$ is parallel to $\Pi$ , then it is perpendicular to $\Pi_1$ .

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2 years ago

How many pennies would be in a tower that is 10 miles<br> high?

Rufina [12.5K]

Just measure the width (or height, if you'll be stacking the pennies
a mile high) of a penny, then divide 5280 feet by whatever you find.
This is a great activity for a class, and in fact a good way to start
the project. First take one penny, and work out an answer. Then get
100 pennies, and measure them; do the same calculation to see how many
pennies it will take to make a mile. There will probably be a
difference, because you can measure 100 pennies more accurately than a
single penny. Or maybe you have a micrometer that will measure one
penny precisely. Which is better can be a good discussion starter. And
don't forget to try it in metric, too.

Just to illustrate, using a very rough estimate of a penny's width,
let's say a penny is about 3/4 inch wide. The number of pennies in a
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1 mi 1 ft 3/4 in

This gives about 84,480 pennies. (This method of doing calculations
with units is very helpful, and would be worth teaching.)

If we measure 100 pennies as 6 ft 1 in, we will get

5280 ft 100 pennies
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This gives us 86794.5205 pennies in a mile.

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3 years ago

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Paul [167]

The answer to the question

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3 years ago

Need to be taught how to do this, thanks​

Need to be taught how to do this, thanks