Answer:
0.08
Step-by-step explanation:
![{5}^{ - 2} \times \sqrt[3]{8} \\ \\ = {5}^{ - 2} \times \sqrt[3]{ {2}^{3} } \\ \\ = \frac{1}{ {5}^{2} } \times 2 \\ \\ = \frac{1}{25} \times 2 \\ \\ = \frac{2}{25} \\ \\ =0.08](https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7B5%7D%5E%7B%20-%202%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%20%7B2%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B5%7D%5E%7B2%7D%20%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Cfrac%7B1%7D%7B25%7D%20%20%5Ctimes%202%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%7D%7B25%7D%20%5C%5C%20%5C%5C%20%3D0.08)
Answer:
the perimeter is 30
Step-by-step explanation:
ok so lets say this
width= x
length= 2x
the area is
A= wl
or
25 = x(2x)
25= 2x^2
5 = x thats the width so we know that if we double that we get the legnth so
the legnth is 10
the perimeter is defined as:
2l +2w =p
insert the width and legnth
2(5) + 2(10) = p
10+ 20= p
p= 30
A 90 degree counter-clockwise rotation is being done on the black figure to get the red figure.
The algebraic rule for a 90 degree counter-clockwise rotation is 
For instance, the point C = (0,1) moves to C' = (-1,0), which is shown in the graph given and also you can use the rule above to get the same coordinates. The other points A,B and D follow the same rule.
Side note: the rotation is centered at the origin (0,0). This point is fixed.
The answer is 0.10 because if you look at 12 , what is closer to it 10 or 20 the answer is 10 so it's 0.12
Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
