Answer: 13 and 8
Step-by-step explanation:
13+8=21
13-8=5
All I did was trial and error. Plus, it helps to set up an equation : x+x=21, x-x=5
Answer:
∠ A ≈ 16.67°
Step-by-step explanation:
Using the Sine rule in Δ ABC
=
, substitute values
=
( cross- multiply )
16 sinA = 8 sin35° ( divide both sides by 16 )
sin A =
, thus
∠ A =
(
) ≈ 16.67° ( to 2 dec. places )
3 units down would be subtracting 3 from the Y values and 4 units left would be subtracting 4 from the X values
Point A is at (2,-1)
The new point would be at (2-4, -1 -3) = (-2,-4)
Point B is at (1,-4)
The new point would be at (1-4, -4 -3) = (-3,-7)
Point C is at (3,-5)
The new point would be at (3-4, -5-3) = (-1,-8)
Point D is at (5,-3)
The new point would be (5-4, -3-3) = (1,-6)
So the new location would be:
A' (-2,-4)
B' (-3,-7)
C' (-1,-8)
D' (1,-6)
Answer: 
Step-by-step explanation:
Total number of cards in a deck = 52
Number of red cards = 26
Number of cards not red =
Number of ways to draw not red cards = 
Total ways to draw 3 cards = 
The probability that none of three cards are red = 
[∵
]

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

Hence, the required probability = 
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h2>
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
<h2><u>Solution</u>:-</h2>
Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
<h3>

</h3>
Where,
= 2 ,
= 3
= -1 ,
= 4
Putting values we get,
x = 
x = 
x = 
x = 1
Now,
Finding y
<h3>

</h3>
Where,
= 2 ,
= 3
= 7 ,
= -3
Putting values we get,
y = 
y = 
y = 
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
<h3>The coordinates of the point is P(1, 3). [Answer]</h3>
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<u>N</u><u>o</u><u>t</u><u>e</u>:- Refer the attachment.
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