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USPshnik [31]
3 years ago
11

Simplify: (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2 options are 1 2 sin2 Θ cos2 Θ

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

2 is the right answer.

Step-by-step explanation:

(sin∅-cos∅)²+(sin∅+cos∅)² in this expression we will open the brackets first by squaring the expressions given inside.

(sin²∅+cos²∅-2sin∅cos∅)+(sin²∅+cos²∅+2sin∅cos∅)

Since (a+b)² = a²+b²+2ab and (a-b)² = a²+b²-2ab

⇒(1-2sin∅cos∅) + (1+2sin∅cos∅)

Since (sin²∅+cos²∅) =1

⇒ 1-2sin∅cos∅+1+2sin∅cos∅

⇒ 1+1

⇒ 2

Therefore the option 2 is right answer.


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{24, 95, 76, 60, 15, 48, 80, 75}<br> a.<br> Mean =<br> b.<br> Median<br> c.<br> Mode =
sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
\frac{24+95+76+60+15+48+80+75}{8}

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
15, 24, 48, 60, 75, 76, 80, 95. The middle ones are 60 & 75 so \frac{60+75}{2}

Mode = The number that repeats more times. In this case none of them repeat.

8 0
2 years ago
Anyone know what 5x-4=36 is? I’m looking to solve the (x).
k0ka [10]

Answer:

x=8

Step-by-step explanation:

add 4 to both sides

divide 40 by 5

then you are left with x=8

6 0
2 years ago
Read 2 more answers
Of all the students that Mikey surveyed, 30% said they play baseball. If 21 students play baseball, how many students did Mikey
Ulleksa [173]

Answer:

70 students

Step-by-step explanation:

As, 30% Mike surveyed

And these 30% are 21 students

So 30% of X = 21

= 30/100 x X = 21

= 30X = 2100

So X = 2100/30

X = 70

So 70 students were surveyed

5 0
2 years ago
Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4
harina [27]

3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\

4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}

6 0
3 years ago
Read 2 more answers
16 in wide whats the length is needed to obtain 17sqf
Black_prince [1.1K]
So to fiqure this out you do reverse operations. 17 feet divided by .16 feet which equals 106.25 feet
4 0
3 years ago
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