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kumpel [21]
3 years ago
8

Given sinx=-3/5 and x is in quadrant 3, what is the value of tanx/2

Mathematics
1 answer:
umka2103 [35]3 years ago
3 0

Step-by-step explanation:

since x is in quadrant three,tan theta and cot theta are positive

<h2>__________________________</h2>

tan theta= opposite/adjacent

sin theta = opposite /hypotenuese

from triangle ,we know 2 sides hypotenuese and opposite as 5 and 3 respectively,we get third side as 4 using pythagorous theorem

tanx°=3/4

<h2>__________________________</h2>

but asked tanx/2

see the attachment now

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Serga [27]

3/4 of an apple per person

5 0
3 years ago
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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they
Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

D = 30\times \dfrac{15}{60}=7.5\ miles

Let , time taken is x .

So , distance covered b them is equal :

7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

4 0
3 years ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
DochEvi [55]
X is Kevin; Y is Dan

X = 3Y

X - 4 = 5(Y - 4)


3Y - 4 = 5(Y - 4)   
3Y - 4 = 5Y - 20
     + 4         +4
4 cancels each other out.
     3Y = 5Y - 16
     - 5   -5
5 cancels each other out.
    -2Y = -16  
    /2       /2     
       Y = 8 

X = 3Y;    
X = 3 x 8;

Thus,
X = 24;
Kevin(x) is 24

8 0
3 years ago
In the figure below, AMNO
NeX [460]

Given:

\Delta MNO\cong \Delta PQR

To find:

The length of QR.

Solution:

We have,

\Delta MNO\cong \Delta PQR

Then, MN=PQ                 (CPCTC)

10=4x-2

10+2=4x

12=4x

Divide both sides by 4.

\dfrac{12}{4}=x

3=x

Similarity,

MO=PR            (CPCTC)

2y+3=21

2y=21-3

2y=18

Divide both sides by 2.

y=9

Now,

x+y=3+9

x+y=12

Therefore, the correct option is d.

4 0
3 years ago
(b) it takes 44 pounds of seed to completely plant an 8
VikaD [51]

Answer:

5 pounds and 8 ounces of seed per one acre.

Step-by-step explanation:

We have our two values, 44 pounds and 8 acres.

It also says it takes 44 pounds of seed for every 8 acres of farmland.

So to get the value of how much seed per one acre we need, we divide 44 by 8.

Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)

1) 0.0 + 5.5 = 5.5

2) 5.5 + 5.5 = 11.0

3) 11.0 + 5.5 = 16.5

4) 16.5 + 5.5 = 22.0

5) 22.0 + 5.5 = 27.5

6) 27.5 + 5.5 = 33.0

7) 33.0 + 5.5 = 38.5

8) 38.5 + 5.5 = 44.0

6 0
3 years ago
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