An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g
The surface area of rectangular prism is 346 square meters.
Given the figure is rectangular prism.
We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)
Given that the length of prism = 5 m
Width of prism = 17 m
Height of prism = 4 m
So the total surface area of the rectangular prism is given by,
= 2 [5*17 + 17*4 + 4*5]
= 2 [85 + 68 + 20]
= 2*173
= 346 square meters
Hence the surface area of rectangular prism is 346 square meters.
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5x2-3x=25
Divide each term by 5:
x^2 - 3/5x = 5
Make a trinomial square of the left side by taking the square of half of the coefficient of x.
The coefficient of x is -3, so the square would be (-3/10)^2
Add that to both sides of the equation.
Now you have:
x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2
Simplify both sides:
x^2 -3/5x +9/100 = 509/100
Factor the trinomial:
(x-3/10)^2 = 509/100
Solve for x, , take the square root of both sides:
x-3/10 = +/-√509 / 100
Simplify the right side:
x-3/10 = +/-√509/10
Add 3/10 to both sides:
X = +/-√509/10 + 3/10 ( this is the exact form)
You can then find the decimal answer if needed.
Answer:
560 downloads of standard version downloads.
Step-by-step explanation:
Let there were number of standard version of downloads = x
and number of high quality version of downloads = y
There were total 950 downloads of the both type of songs.
x + y = 950 -----(1)
Size of the standard version songs = 2.8 MB
and the size of the high quality version songs = 4.4 MB
Total download size = 3284 MB
2.8x + 4.4y = 3284
7x + 11y = 8210 -----(2)
Multiply equation (1) by 11 (-) equation (2)
(11x + 11y) - (7x + 11y) = 10450 - 8210
4x = 2240
x = 560
There were 560 downloads of the standard version downloads.