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ss7ja [257]
3 years ago
5

If csc theta = -2.06, find sec(theta-pi/2)

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

a) sec (θ -π/2) =  co secθ

b) sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )=\frac{1}{2}

Step-by-step explanation:

a)

Given co sec θ = -2.06

sec (θ -π/2) = sec(π/2 -θ) = co secθ

b)

we will use formula

sin A cos B + Cos A sin B = sin(A+B)

Given sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )

                                                =  Sin(\frac{\pi }{18} +\frac{\pi }{9} )

                                                = sin(\frac{\pi+2\pi  }{18} ) = sin(\frac{3\pi }{18})

                                                = sin(\frac{\pi }{6})

                                               =  \frac{1}{2}

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the sum of three numbers is twenty. the second number is four times the first and the sum of the first and third is eight. what
8090 [49]
Let's call the three numbers x, y, and z. 


The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so 
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve

5x + z = 20
x + z = 8

5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5

x + z = 8
x + 5 = 8
x = 3

y = 4x
y = 4 × 3
y = 12

I hope this helps!
4 0
3 years ago
What is the first quartile of this data set?
Mamont248 [21]
The median is 19 and the lower quartile is the middle number of the 5 numbers before 19 
So its 13 

B
5 0
3 years ago
Read 2 more answers
Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian
Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

\frac{3}{4}=0.75

So,

0

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0
3 years ago
Pweas help....10 points and brainiest and thznks<3
Travka [436]

Answer:

F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.

Step-by-step explanation:

Hope this helps. Tell me if you need and explanation.

7 0
2 years ago
Read 2 more answers
At time t=3, there are 2.5 cubic feet of water in the tub. Write an equation for the locally linear approximation of W at t=3, a
velikii [3]

Answer:

W=0.8333*t

2.917 ft³

Step-by-step explanation:

At time t=3, there is 2.5 ft³ of water in the tub

Finding the relation will be;

3=2.5

1=?

Rate=0.8333 ft³/min

W=0.8333 ft³ / min

W=0.8333*t

At t=3.5 will be;

1 min = 0.8333

3.5 min =?

Apply cross-production

3.5*0.8333 =2.917 ft³

4 0
3 years ago
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