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Ivan
2 years ago
8

Given tanx=8/15 when pi < x < 3pi/2, find tan x/2.

Mathematics
1 answer:
S_A_V [24]2 years ago
8 0

Answer:

tan(x/2)=-4

Step-by-step explanation:

we know that

The angle x belong to the III quadrant -----> given problem

step 1

Find the angle x

x=arctan(8/15)=28.07\°

Remember that the angle x belong to the III Quadrant

so

x=28.07\°+180\°=208.07\°

step 2

Find angle x/2

x/2=208.07\°/2=104.035\°

step 3

Find tan(x/2)

tan(104.035\°)=-4

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Combine the like terms to make a similar expression 2q+2+9
Ede4ka [16]
Add the 2 and 9 together:
2q+11
8 0
3 years ago
Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder
vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be x and y the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

4\cdot x +5\cdot y = 32\,oz (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

x + 8\cdot y = 35\,oz (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

x = 35 - 8\cdot y

(Eq. 2) is (Eq. 1):

4\cdot (35-8\cdot y) + 5\cdot y = 32

140-32\cdot y +5\cdot y = 32

32\cdot y - 5\cdot y = 140-32

27\cdot y = 108

y = 4\,oz

From (Eq. 2):

x = 35 - 8\cdot (4)

x = 35 - 32

x = 3\,oz

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

4 0
2 years ago
What is the value of 9 - [42 - (3 + 2)].
Vlada [557]

9 - [42 - (3 + 2)]

Parentheses first:

9-[42-5]

Brackets next:

9- 37

Now subtract to get -28

8 0
3 years ago
A person reads a books at a rate of 1 word every 0.0145 seconds. How long will it take to read 3,500 words?
Ludmilka [50]

Answer:

50.75 seconds

Step-by-step explanation:

0.0145 x 3500 = 50.75 sec

I hope this helps! Have a nice day!

4 0
2 years ago
Plz help im taking a quiz &amp; im stuck 10 points!!!!!!!!!!!!!!!!!!
Delvig [45]

Answer:

Thanks for asking!

Step-by-step explanation:

The answer is D

5 0
3 years ago
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