An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
Step-by-step explanation:
open the bracket
6={(1/5×4y) + 1/5×10}
6=4/5y+2
6-2=4/5y
4=4/5y
divide both sides by 4/5
y=1/5
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° =
=
=
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG =
≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° =
=
=
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF =
≈ 32.3 in ( to the nearest tenth )
Yes you did it correctly but change problem 5’s denominator on the right to a 6
Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.