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lions [1.4K]
3 years ago
8

Sin 75°(cot 75° + cot 60°)help me simplify this​

Mathematics
1 answer:
leva [86]3 years ago
7 0
(square root of 6)/ 3
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What is the mean absolute deviation of the following set
Verdich [7]

Answer:

1

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

4 0
3 years ago
Solve the following quadratic by<br> completing the square.<br> y = x2 + 10x + 10
IgorC [24]

Answer:

<h2>         x = -5 - √15    or   x = -5 + √15</h2>

Step-by-step explanation:

y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}

3 0
3 years ago
Which graph correctly represents 5/2x-y&lt; 3
kompoz [17]
5/2x - y < 3
Add y
5/2x < 3 + y
Subtract 3
5/2x - 3 < y
y > 5/2x - 3
Graph "5/2x - 3" and shade the area that is above it
5 0
3 years ago
the hypotenuse of the right angled triangle is 6cm more than twice the shortest side. if the third side is 2 cm less than the hy
Mumz [18]

Answer:

Let the base be p

Hypotenuse = 2p +6

Perpendicular = 2p + 4

By Pythagoras theoram

(2p+6)^2 = (2p+4)^2 +p^2

=> 4p^2 +36 + 24p = 4p^2 + 16 +16p +p^2

=> 36+ 24p = p^2 + 16p + 16

=> p^2 - 8p - 20 = 0

=> p^2 - 10p +2p - 20 = 0

=> p(p-10) +2(p-10) = 0

=> (p-10)(p+2) = 0

p = 10 and - 2

Length can't be negative

So,

p = 10

Base = 10

Perpendicular = 24

Hypotenuse = 26

6 0
3 years ago
If aſc and a +b = C, prove that a|b.
mars1129 [50]

Answer with Step-by-step explanation:

Since we have given that

a + b = c

and a|c

i.e. a divides c.

We need to prove that a|b.

⇒ a = mb for some integer m

Since a|c,

So, mathematically, it is expressed as

c= ka

Now, we put the above value in a + b = c.

So, it becomes,

a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b

a=mb, here, m = k-1

Hence, proved.

7 0
3 years ago
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