Answer: 257.143 square centimeter (approx)
Step-by-step explanation:
Here, Three plates are stored in an L-shaped drawer, as shown so that they fit snuggly inside, with no spaces between the edges of the drawer and the plates.
Therefore,
Total area of L- shaped drawer which is not covered by these plates = Total covered area of the L-shaped drawer - Total area of three plates.
Since, the total area of L-shaped drawer= area of square of side 20 cm+ area of rectangle of length 40 and breadth 20. ( by the given diagram)
Thus, the total area of L-shaped drawer= 
= 400+800
=1200 square cm
Here, the shape of plates are circular and having the radius of 10 cm. ( by the given diagram)
Therefore area of three circular plates = 
=
square cm
Total area of L- shaped drawer which is not covered by these plates = 
=257.142857143≈ 257.143 square cm.
The graph represents a linear function, because the graph is a line.
Linear basically means straight line. If you look at the line, it always goes left once and up once and this is always the same. This means the graph follows the equation of y = mx + c and so is linear. In this case, the equation is y = -x + 1
Answer:
6
Step-by-step explanation:
3/4 is equivalent to 6/8 and there are 6 1/8s in 6/8
Answer:
C(n) = 12 + 1.5(n – 1)
Step-by-step explanation:
Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ 
= 
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ 
= 
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
