Answer:
15.73
Step-by-step explanation: I just kinda guessed and got it right.
Answer:
sin 70 degrees = 0.9396, 0.9396*3 approximately equal to the 2.82cm one area is 6*2.82/2=8.46cm²
Step-by-step explanation:
- Known this square covers an area of 36 cm square, so its length is 6 cm.
- so, we know that the lower side of the triangle is six, half of it is 3 cm.
- We make a triangle, and then the Angle of the triangle is 70 degrees, so, we can use the sin is to use bottom neighborhood is sin70 degrees = hemline is present in addition to 3cm.
Answer:
![\frac{2\sqrt{2} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B2%7D%20%7D%7B3%7D)
Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;
![\sqrt{9-1}=\sqrt{8}=2\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B9-1%7D%3D%5Csqrt%7B8%7D%3D2%5Csqrt%7B2%7D)
The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;
![\frac{2\sqrt{2} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B2%7D%20%7D%7B3%7D)
To solve this problem, let us say that:
money invested in stock A = A
money invested in stock B = B
money invested in stock C = C
The given problem states that:
C = A * (1 / 4) = 0.25 A
B = A * (1 / 2) = 0.50 A
It was stated that we only have $16,000 to invest.
Therefore:
A + B + C = 16,000
Substituting values of C and B in terms of A:
A + 0.50 A + 0.25 A = 16,000
1.75 A = 16,000
A = $9,142.86
So C and B is:
C = 0.25 (9142.86)
C = $2285.71
B = 0.50 (9142.86)
B = $4571.43