Since Irina can paint 1 room in 9 hours, that means she paints 1/9 of the room in 1 hour. Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being her speed.
Since Paulo can paint 1 room in 8 hours, that means he paints 1/8 of the room in 1 hour. His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being his speed.
The equation would then be 1/9x + 1/8x = 1 (Irina's portion of the room, plus Paulo's portion of the room, equal to one whole room).
Find a common denominator. 72 is the first number that both 9 and 8 divide evenly into. Since 9*8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x. Since 8*9 = 72, we multiply the top of 1/8 by 9 to convert the fractio and get 9/72x. We now have 8/72x+9/72x=1
17/72x=1
Divide both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
x=1/1 ÷ 17/72
x=1/1 * 72/17
x=72/17=4.24
Together it should take them 4.24 hours.
Answer:
<h2>Side YZ is 8 units long.</h2>
Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that 
, which means 
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means 
and 
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where 
is the hypothenuse and 
, 
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where 
and 
Therefore, side YZ is 8 units long.
AD= AB+BC+CD
According to the question,
AB=BC
Then ,
AB+BC=2AB
76= 2AB + 24
52/2= AB = BC = 26.
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.
Surface are of a cube = 6a^2
surface area
= 6 (4.5)^2
= 6 x 81 /4
= 243/2
= 121.5
