Answer:
5625in²
Step-by-step explanation:
Area of the plate = πr²
625π = πr²
625 = r²
r = √625
r = 25in
If the radius of the plate is tripled, then the new radius will be 3(25) = 75in
New Area = π(75)²
New Area = 5625π in²
If the radius is tripled, the new area of the plate is 5625in²
Answer:
The cost of each drink is $1.5
Step-by-step explanation:
Let us represent
The cost of snacks = x
The cost of drinks = y
50 snacks and 180 drinks will sell for $320
Hence:
50x + 180y = 320....... Equation 1
75 snacks and 100 drinks will sell for $225.
Hence:
75x + 100y = 225....... Equation 2
Combining both Equations together
50x + 180y = 320....... Equation 1
75x + 100y = 225....... Equation 2
Multiply Equation 1 by 75 and Equation 2 by 50 to eliminate x
3750x + 13500y = 24000..... Equation 3
3750x + 5000y = 11250....... Equation 4
Subtract Equation 4 from Equation 3
8500y = 12750
y = 12750/8500
y = $1.5
Therefore, the cost of each drink is $1.5
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
297:5.5
divide 5.5 by both sides which
5.5 divided by 5.5 is 1 and 297 divided by 5.5 is 54
1:54
the unit rate:
54 minutes per word or 54/1
Step-by-step explanation:
1 -5/8
lcm=8
8-5=3
3/8
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