√h × √h³ =
324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.
What is product?
In mathematics, a product is the outcome of multiplying two or more numbers together.
The outcome of multiplication is a product, or a factor, which is an expression that specifies the objects (numbers or variables) to be multiplied.
For instance, the result of multiplying 2 and 5 together is 10, or the product. Math requires a lot of multiplication.
Explanation:
Since, 324 is exactly three times 108,
324 = 3 x 108.
Therefore,
324 x 4 = (3 x 108) x 4
324 x 4 = 3 x (108 x 4)
Solving,
108 x 4 = 432
therefore,
324 x 4 = 3 x 432
324 x 4 = 1296.
As, shown above we can use the product of 108 and 4 to find the product of 324 and 4.
Thus, you multiply the product of 108*4 by thee to get 324*4
Therefore, 324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.
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The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.
We know that he has a total of 40 coins, so,
x + y = 40 ( 1)
We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,
10x + 25y = 760 ( 2)
Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:
x + y = 40
y = 40 - x
Substitute this expression for y into equation 2:
10x + 25y = 760
10x + 25(40-x) = 760
10x + 1000 - 25x = 760
-15x = -240
x = 16
So Rob has 16 dimes. We can use equation 1 to find the number of quarters:
x + y = 40
16 + y = 40
y = 24
So Rob has 24 quarters.
Therefore, Rob has 16 dimes and 24 quarters.
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Perimeter of the figure PQR is 91.42 cm.
Perimeter of a straight sided figures or objects is the total length of it's boundary
Given figure PQR consists of an equilateral triangle and a semicircle.
Length of side of an equilateral triangle = 20 cm
Perimeter of equilateral triangle = sum of the length of three sides
Perimeter = 3 × 20 = 60 cm
Now circumference of a circle = 2πr, where r is the radius.
Here there is a semicircle, which is the half of the circle.
Circumference of semicircle = 2πr / 2 = πr
Here Diameter = 20 cm
Radius = 20 / 2 = 10 cm
Perimeter of semicircle = 10π = 31.42 cm
Total perimeter = 60 cm + 31.42 cm = 91.42 cm
Hence the total perimeter is 91.42 cm.
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Answer:
720
Step-by-step explanation:
120/10 to find his feet per second which is 12 feet per second
12*60
since there are 60 seconds in a minute
= 720
a) -7
b) 6
c) 42
d) -42