Let the unknown angle be x.
That is
sin x = 4/5
cos x = 3/5
By drawing a right triangle in the first quadrant,
hypotenuse = 5
Adjacent side = 3
opposite side = 4
That is tan x = 4/3
From the calculator,
x = arctan(4/3) = 53 deg (nearest integer)
Answer: 53 deg. (nearest integer)
Answer:
wait what was edgar's absolute guessing error
Step-by-step explanation:
greater than 18, or less than 18
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
A 360 degrees counter-clockwise rotation will bring the triangle at the same place.
So, divide 1980 by 360 and find the remainder.
On dividing, we can find that
1980 = 5(360) + 180
A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.
A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.
Answer: £122.4
Step-by-step explanation:
Given
The rate of interest is 4%
The principal invested is £1500
the time period is 2 years
Compound interest is given by
put values
![C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4](https://tex.z-dn.net/?f=C.I.%3D1500%281%2B0.04%29%5E2-1500%5C%5CC.I.%3D1500%5B1.04%5E2-1%5D%5C%5CC.I.%3D1500%5B1.0816-1%5D%5C%5CC.I.%3D1500%5Ctimes%200.0816%5C%5CC.I.%3D122.4)
Therefore, interest earned is £122.4
