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3 years ago

A right triangle has side lengths a, b and c as shown below. Uses these lengths to find tan x, cos x, and sin x.

Mathematics

1 answer:

puteri [66]3 years ago

4 0

Answer:

See Below

Step-by-step explanation:

Tan is the ratio of "opposite" side to "adjacent side

Cos is the ratio of "adjacent" to "hypotenuse"

Sin is the ratio of "opposite" to "hypotenuse"

We will write the trig ratios with respect to the angle "x"

Opposite Side is "c"

Adjacent Side is "b"

Hypotenuse is the side opposite of 90 degree angle, "a"

Now, let's write the ratios:

$Sin \ x =\frac{c}{a}\\Cos \ x = \frac{b}{a}\\Tan \ x = \frac{c}{b}$

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How many square inches of tin are needed to make the top of a can that is 10 inches in diameter?

forsale [732]

10/2=5
3.14*5^2=78.50
78.50

4 0

3 years ago

Read 2 more answers

Help please I really need it

gtnhenbr [62]

So we want to solve 2x − 40 = 3y for x2x − 40 + 40 = 3y + 40(Add 40 to both sides!)2x = 3y + 40
Now divide both sides by 2!
 $\frac{2x}{2} = \frac{3y + 40}{2} \ \textgreater \ x = \frac{3}{2}y + 20$
Now substitute $\frac{3}{2}y + 20 for x in 2y = -4x + 48

$
$2y = -4( \frac{3}{2}y + 20) + 48$
Which then gives us..
2y = −6y − 32(Make sure to simplify both sides of the equation)2y + 6y = −6y − 32 + 6y(Now add 6y to both sides)8y = −32
Now divide both sides by 8
 $\frac{8y}{8} = \frac{-32}{8} \ \textgreater \ y = -4$
Now we have to substitute -4 for y in $x = \frac{3}{2}y + 20 \ \textgreater \ \frac{3}{2}(-4) + 20 \ \textgreater \ x = 14$
So we end up getting...
x = 14 and y = −4.
Hope this helps!

7 0

3 years ago

A telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 20% of her calls, there is no answer

Basile [38]

Answer:

$4.8\%$

Step-by-step explanation:

We are given that 20% of her calls, there is no answer or the line is busy.

So, remaining calls = 100% - 20% = 80%

Now we are given that She sells subscriptions to 6% of the remaining calls

So, she make a sale of calls = $6\% \times 80\%$

= $\frac{6}{100}\times \frac{80}{100}$

= $\frac{6}{125}$

= $\frac{6}{125} \times 100$

= $4.8\%$

Hence she make a sale of $4.8\%$ calls .

7 0

3 years ago

What is t. with explanation

kirza4 [7]

$\bf \textit{Logarithm Cancellation Rules}
\\\\
\stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{log_a a^x = x}\qquad \qquad a^{log_a x}=x
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
12\cdot 6^{t-1}=6\cdot e^{3t-1}
\\\\[-0.35em]
~\dotfill\\\\
12\cdot 6^t\cdot 6^{-1}=6\cdot e^{3t}\cdot e^{-1}\implies 12\cdot \cfrac{6^t}{6}=6\cdot \cfrac{e^{3t}}{e}\implies 2\cdot 6^t=6\cdot \cfrac{e^{3t}}{e}$

$\bf \cfrac{2\cdot 6^t}{6}=\cfrac{e^{3t}}{e}\implies \cfrac{6^t}{3}=\cfrac{e^{3t}}{e}\implies e6^t=3e^{3t}\implies ln(e6^t)=ln(3e^{3t})
\\\\\\
ln(e)+ln(6^t)=ln(3)+ln(e^{3t})\implies 1+ln(6^t)=ln(3)+3t\cdot ln(e)
\\\\\\
1+t\cdot ln(6)=ln(3)+3t\implies t\cdot ln(6)-3t=ln(3)-1
\\\\\\
t[ln(6)-3]=ln(3)-1\implies t=\cfrac{ln(3)-1}{ln(6)-3}\implies t\approx -0.08161643824769$

7 0

3 years ago

When you're involved in a head-on collision with another car, the force of impact will involve:

labwork [276]

Answer:

Gravity, Mass, Acceleration, Speed, and Force

Step-by-step explanation:

Gravity: It is the natural force that pulls objects towards the ground.

Mass: It is the weight of the object, it can be measured either in kilograms (kg) or pounds (lb).

Acceleration: It is the change of rate in velocity.

Speed: It is rapidity of movement or action.

Force: It is the principle an object possesses and it is influenced by its weight and speed.

3 0

3 years ago