Answer:
12.5 in²
Step-by-step explanation:
Given:
Height of tile = 2.5 in
Base of tile = 2*height of tile = 2*2.5 = 5 in
Length of other side of tile = 2.5 in
Required:
Area of the tile
SOLUTION:
Area of the tile = area of parallelogram
All we need to calculate the area of the tile, is the base and the height.
Area of parallelogram = base × height
Area of tile = 5 × 2.5 = 12.5 in²
Answer:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
x = 11 hours
Step-by-step explanation:
Let
Number of hours = x
Total cost = y
Total cost = fixed cost + variable cost
The equations are:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
solve the equation to find for how many hours the total cost of the services is equal.
Equate total cost of both services
20 + 4x = 9 + 5x
Collect like terms
20 - 9 = 5x - 4x
11 = x
x = 11 hours
Check:
Happy paws
y = 20 + 4x
= 20 + 4(11)
= 20 + 44
= 64
Woof watchers
y = 9 + 5x
= 9 + 5(11)
= 9 + 55
= 64
Answer:
2n - 9
Step-by-step explanation:
Let the number be n. Then "a number multiply by two then subtract 9" yields
2n - 9
Y = sin(x^2)
Use the chain rule.
We want dy/dx.
dy/dx = cos(x^2)*2x
dy/dx = 2xcos(x^2)
Did you follow?
Answer:
the answer is triangles ABC and DEC are similar
Step-by-step explanation:
angle C is a common angle for both triangles
angle D is equal to angle A ( corresponding angles)since they are parallel
angle B is also equal to angle B for the same reason as angle D and A
since the three angles of the two angles are equal they are similar
