Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
As you must keep in mind
→ ,where x is base , and m,n are exponent.
→
Now the value of ,
, which is the radical form of
(-8 3/4) +(-2 5/6) +(-1 1/5)
= -((8 +2 +1) +(45/60 +50/60 +12/60))
= -(11 +107/60)
= -(12 47/60)
= -12 47/60
Answer:
240 cm^3
Step-by-step explanation:
The solid is composed by two rectangular parallelepipeds. To find the total volume we have to find the volume of the two solids and added up.
To find the volume of a parallelepiped we have to use this formula:
V = base surface x height
The area of rectangle is : base x width
So:
Area first rectangle: 4 x 6 = 24 cm^2
V = 24 x 7 = 168 cm^3
Area second rectangle: 4 x 2 = 8 cm^2
V = 8 x 9 = 72 cm^3
total volume = 168 + 72 = 240 cm^3
Answer:
The area of a rhombus is square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
Multiply both sides by 6.
The height of the rhombus is .
Area of a rhombus is
Therefore, the area of a rhombus is square units.