Answer: 5376
Step-by-step explanation: if a chessboard have 64 squares that means 84 squares used at the tournament will have 5376 squares all together by multiplying 64 × 84.
Answer:
Step-by-step explanation:
A line has the following slope-intercept equation:
In which a is the slope.
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
Slope of -3 means that . So
Passes through the point (1.25, -4). Means that when
So
Let h represent the height of the triangle.
... b = 10 + 3h . . . . . . the base is 10 inches more than 3 times the height
... A = (1/2)bh . . . . . . formula for the area of a triangle in terms of base and height
... 16 = (1/2)(10 +3h)h . . . . substitute the known values
... 3h² + 10h - 32 = 0 . . . . rearrange to standard form
... (h -2)(3h +16) = 0
... h = 2 or -16/3 . . . . . . . . the negative solution is extraneous
... b = 10 + 3·2 = 16 . . . . . use the relation between b and h
The base and height of the triangle are 2 inches and 16 inches, respectively.
Answer:
C. 32 cubic feet
Step-by-step explanation:
The volume of a cylinder can be written in terms of diameter as ...
V = (π/4)d^2·h
If water fills the 6-foot height to only 4.5 feet, then the volume of water is ...
V = (π/4)(3 ft)^2(4.5 ft) ≈ 31.81 ft^3
The volume of water in the container is about 32 cubic feet.
Answer:
The value of c is 0,-2.194 and 2.194 in the interval (-3,3).
Step-by-step explanation:
To find the value of c for a given function using Rolle's Theorem we have to find the first derivative of the function and then equate it to zero.
These solutions of x are the values of c.
f(x) = x sin(x)
= xcosx + sinx
xcosx + sinx = 0
x = -tanx
Using the graphical method we can see that 0,-2.194 and 2.194 is a solution of the equation.There are infinitely many solutions but in the interval (-3,3) there is only 3 solution.