Answer:
We know that:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
Then if we use this property in our expression:
sin(a-30)-sin(a+30)
We get:
sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
Now remember that:
sin(-x) = -sin(x)
and
cos(-x) = cos(x)
Then we can rewrite our expression as:
sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
= -2*sin(30°)*cos(a)
and sin(30°) = 0.5
Then:
-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)
So we get:
sin(a-30)-sin(a+30)= - cos(a)
Answer and Step-by-step explanation:
We know that the triangle got dilated by a <u>scale factor of 4.</u> This means that the sides are multiplied by 4.
So 6 becomes 24, and 8 becomes 32.
Now, we find the area of the triangle.
24 × 32 = 768
768 ÷ 2 = 384.
<u>The answer is D. 384 square cm.</u>
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The answer IS NOT B. 96 square cm, because you don't multiply the area of the triangle before the dilation. The dilation occurs first, and then you have to find the area.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
(x+11)(x-2)
Step-by-step explanation:
To factorise: x^2+9x-22
You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.
So x^2+9x-22 = x^2 -2x + 11x - 22.
Now factorize x^2 - 2x and 11x-22 individually.
x^2 - 2x = x(x-2)
11x - 22 = 11(x-2)
Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:
(x+11)(x-2)
Hope this helps
Answer:
25004854810.8
Step-by-step explanation:
You multiply 1.43 by 10 to get 14.3. Then you multiply 14.3 by itself 9 times. Hope this helps!