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navik [9.2K]
2 years ago
11

Exercise questions

Mathematics
1 answer:
balu736 [363]2 years ago
3 0

Answer:

2.

a)1

b)1

c)1

Step-by-step explanation:

There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!

some of em are follows:. (x is the given angle)

  • sin(x)^2+cos(x)^2=1
  • cosec(x)^2=1+cot(x)^2
  • sec(x)^2=1+tan(x)^2

You can remember these identity, its gonna help alot.

now back to question,. {x is representing angles)

for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1

for(b) ,

cosec(x)^2=1+cot(x)^2

i.e, cosec(x)^2-cot(x)^2=1, again this is true for all x dat means that for all the angle given in question ,we will get 1

for (c),

sec(x)^2=1+tan(x)^2

i.e,sec(x)^2-tan(x)^2=1,again this is true for all x, dat means that for all the angle given in question ,we will get 1

✌️:)

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the height in feet of an object projected upward is given by the polynomial -16t^2+60t+90 where t represents time, in seconds. F
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<u>Given</u>:

The height of an object project upward is given by the polynomial

h=-16t^2+60t+90

where t represents the time, in seconds.

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<u>Height of an object:</u>

The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;

h=-16(2.5)^2+60(2.5)+90

Simplifying, we get;

h=-16(6.25)+60(2.5)+90

h=-100+150+90

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2 years ago
20 POINTS!!
svet-max [94.6K]

9514 1404 393

Answer:

  P = 3x +32

Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

  (x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x

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As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...

  A = LW = P(2x)

We want this to be the same as the existing area, so ...

  2Px = 6x^2 +64x

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2 years ago
If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60° ?
s2008m [1.1K]
<span>circumference = 5 * PI = </span><span><span><span>15.7079632679 </span> </span> </span>
<span>arc length   =   circumference • [central angle (degrees) ÷ 360]
</span>arc length   =   <span><span>15.7079632679 </span> * 60 /360
</span>arc length   =   <span> <span> <span> 2.617993878 </span> </span> </span>


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