The required factor that equals 225 is 3 × 3 × 5 × 5.
To find what times what equals 225, we can factorize 225 by finding its prime factors. Here's the step-by-step solution:
Step 1: Start by dividing 225 by the smallest prime number, 2. However, 2 does not divide 225 evenly.
Step 2: Move on to the next prime number, 3. Divide 225 by 3: 225 ÷ 3 = 75. Since 3 is a factor, we can write 225 as 3 × 75.
Step 3: Repeat the process for the quotient, which is 75. Divide 75 by 3: 75 ÷ 3 = 25. Now we have 225 = 3 × 3 × 25.
Step 4: Continue factoring the remaining quotient, 25. Divide 25 by 5: 25 ÷ 5 = 5. Now we have 225 = 3 × 3 × 5 × 5.
Step 5: Since we have reached a prime factor, which is 5, and there are no more factors to consider, we can stop factoring.
Therefore, what times what equals 225 is 3 × 3 × 5 × 5.
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B-28 sq meters
C-35 sq meters
D-42 sq meters
Answer: The correct option is (C) 35 sq. meters.
Step-by-step explanation: We are given to find the area of the kitchen floor in the floor plan shown in the figure.
From the figure, we see that
the kitchen is in the form of a rectangle with length 7 meters and breadth 5 meters.
We know that
the area of a rectangle with length l units and breadth b units is given by
For the rectangular kitchen, we have
length, l = 7 meters
and
breadth, b = 5 meters.
Therefore, the area of the kitchen floor in the floor plan is given by
Thus, option (C) is CORRECT.
B. 512
C. 128
D. 256
a)If a student failed physics, what is the probability that he or she failed math?
b)If a student failed math, what is the probability he or she failed physics?
c) What is the probability that he or she failed math or physics?
The solution to the equation is .
To solve the equation log(x) + log(8) = 2, we can use the properties of logarithms.
The equation can be simplified using the logarithmicproperty:
Rewrite the equation in exponential form:
To solve for x, divide both sides of the equation by 8:
Therefore, the solution to the equation is .
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