6x + 9 < 3 3x - 8 > 13
6x < 3 - 9 3x > 13 + 8
6x < - 6 3x > 21
x < -6/6 x> 21/3
x < -1 x > 7
solution is : x < -1 or x > 7
====================
4x + 5 > 25
4x > 25 - 5
4x > 20
x > 20/4
x > 5
===================
5 - 2x > = 27
-2x > = 27 - 5
-2x > = 22
x < = -22/2
x < = -11
==================
-2 < = x - 7 < = 11
-2 + 7 < = x - 7 + 7 < = 11 + 7
5 < = x < = 18
Red:green
5:3
5+3=8
8 units
4qt=8 units
divide by 8
0.5qt=1unit
5 unit=red
5*0.5=2.5qt, red=2.5qt
3unit=lime
0.5*3=1.5qt
1.5qt, 2/3 of that is yellow, 1/3 is blue, 1.5 times 2/3=1, 1.5 times 1/3=0.5
result:
2.5qt red
1qt yellow
0.5qt blue
Answer:
The answer to your question is below
Step-by-step explanation:
Use trigonometric functions to find x
13. cos 40 = 5/x
x = 5 / cos 40
x = 5 / 0.766
x = 6.5
14. tan 25 = x/9
x = 9tan 25
x = 9(0.466)
x = 4.2
15.- cos 65 = x/12
x = 12 cos 65
x = 12 (0.423)
x = 5.1
16.- sin 32 = 15/x
x = 15 / sin 32
x = 15 / 0.53
x = 28.3
17.- tan 55 = 20 / x
x = 20 / tan 55
x = 20 / 1.42
x = 14
18.- sin31 = x / 18
x = 18 sin 31
x = 18 (0.52)
x = 9.3
Take the right angled triangle with sides 13, 12 and 5. sine theta will be 12/13
When sin theta < 0 and cos theta < 0 we are in the third quadrant so sin theta will be -12/13
tan theta = sin theta / cos theta = -5/13 / -12/13 = -5*13 / -12*13 = 5/12
Answer:
a) never true
Step-by-step explanation:
a radius is always half of a diameter
