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2 years ago

I don't understand how to get the answer to problem 9

Mathematics

1 answer:

andrew-mc [135]2 years ago

7 0

I see the cosine in problem 7 and I see the cotangent in problem eight. So I know that you're talking about trig functions in class. Problem 9 is trying to find out if you know what they're good for. You have a right triangle and you know the lengths of all three sides. So you can easily find the sine or the cosine or the tangent or the cotangent of the angle. Pick one and calculate the number. Then use your calculator to find the angle that has that number for the trig function that you chose.

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The perimeter of a room is 43 ft. The width is 9 1 2ft. What is the length?

andreev551 [17]

<em> $answer = 12 \: ft \\ solution \\ perimeter = 43 ft\\ breadth = 9 \times \frac{1}{2} = \frac{19}{2 } = 9.5 \: ft\\ now \\ perimeter \: of \: \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43= 2(l + 9.5) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 43 = 2l + 19 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = 19 - 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - 2l = - 24 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: l = \frac{ - 24}{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: l = 12 \: ft \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$ </em>

7 0

2 years ago

Read 2 more answers

Sin0=12/37 find tan0

alexira [117]

Answer:

$\large{ \tt{❃ \: EXPLANATION}} :$

We're provide - Sin θ = $\frac{12}{37}$ which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = $\tt{ \frac{p}{h}}$ ] . We're asked to find out tan θ ].

$\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :$

$\large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}$

$\large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}$

$\large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}$

$\large{ \tt{ ⇢{b}^{2} = 1225}}$

$\large{ \tt{⇢ \: b = \sqrt{1225}}}$

$\large{ \tt{⇢ \: b = 35 \: \text {units}}}$

Now , We know - Tan θ= $\tt{ \frac{perpendicular}{base} }$ . Just plug the values :

$\large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}$

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5 0

3 years ago

Which of the following is an equation of a oine parallel to the equation y=-5x-1

yuradex [85]

Answer:

y = - 5x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 5x - 1 is in this form

with slope m = - 5

• Parallel lines have equal slopes

The only equation from the list with m = - 5 is

y = - 5x + 3

4 0

2 years ago

A circle has an area of 49•3.14 square units. What is the diameter of the circle?

inysia [295]

The area of a circle is πr².

First we will solve for r, radius, and then double it to find the diameter.

153.86 = (3.14)(r)²
49 = r²
√49 = r
7 = r

Now the diameter:

7*2 = 14

So the diameter is 14 units.

Hope this helps :)

4 0

3 years ago

I watched an astronaut drop a feather on the moon. It took 1.3 seconds. How fast was it going right before it hit the lunar surf

Zolol [24]

Answer:

2.106 m/sec

Step-by-step explanation:

An astronaut drops a feather on the moon and it took 1.3 seconds to reach the surface.

Now, it is given that, the free-fall acceleration on the moon is 1.62 m per sec².

There is a relation for moving body under acceleration due to gravity that,

v = u+ gt .......(1), where, v and u are the final and initial velocities of the falling body under acceleration due to gravity g and t is the time of travel.

Therefore, in our case, u =0 as there is free fall, g =1.62 m/sec² and t= 1.3 secs.

Hence, the velocity of the feather just before hitting the lunar surface(v) will be given by v = 0+ 1.62 ×1.3 =2.106 m/sec.

{Using the formula (1)} (Answer)

4 0

3 years ago