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klemol [59]
3 years ago
13

18. cos t(sec t - cos t)

Mathematics
1 answer:
Margarita [4]3 years ago
8 0
\bf sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\
-----------------------------\\\\
cos(t)[sec(t)-cos(t)]\implies cos(t)sec(t)-cos(t)cos(t)
\\\\\\
cos(t)\cdot \cfrac{1}{cos(t)}-cos^2(t)\implies 1-cos^2(t)\implies \boxed{sin^2(t)}
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What is the positive solution to the equation 0<br> = 3x2-31<br> ?
Bas_tet [7]

Answer:

4.47

Step-by-step explanation:

3x²+31=91

3x²=91-31

3x²=60

x²=60÷3

x²=20

x=√20

x=4.47

6 0
2 years ago
From a point 114 m away from a building, Serena measures the angle between the
irga5000 [103]

Answer:

4900

Step-by-step explanation:

so what you're going to do first is you're going to do 114* 43 which equals 4902 then you round that and you're going to have 4900I am not a hundred percent sure

8 0
2 years ago
Solve the equation.<br> у+ 3 = -у +9<br> Оy = 1<br> Оy= 3<br> O y=6<br> Оy= 9
Triss [41]

Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  y = 3

5 0
3 years ago
Read 2 more answers
50 point HELP ASAP Question: A rectangle has sides measuring (3x + 8) units and (6x + 5) units.
cluponka [151]

Answer:

see below

Step-by-step explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

  = (3x+8)(6x+5)

   Distribute

3x*(6x+5) + 8(6x+5)

18x^2 +15x + 48x +40

Combine terms

18x^2+63x+40  units^2

The degree is 2  ( the highest power of x)

This is a trinomial   ( it has 3 terms)

Multiplication is closed for polynomial multiplication

We started with polynomials and we ended up with a polynomial.

3 0
3 years ago
A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time
Olegator [25]

Answer:

315 km

Step-by-step explanation:

If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.

Let's use the points (0.5, 42) and (4.5, 378):

as we move from the first point to the second, t increases by 4 and y increases by 336.  Thus, the slope of this graph is

m = rise / run = 336 km  /  4 hr  =  84 km/hr

then distance traveled = speed times time, or

distance traveled = (84 km/hr)t, where t is the elapsed time.

In 6 hours the bus would travel

                                 ( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi

8 0
3 years ago
Read 2 more answers
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