The area of the two triangular bases is
A = (4 mm)(6 mm) = 24 mm²
The perimeter of the triangular base is
P = 2(6.3 mm) + 4 mm = 16.6 mm
so the lateral area is
A = (16.6 mm)(8 mm) = 132.8 mm²
The total surface area is the sum of the base areas and the lateral area.
total area = 24 mm² + 132.8 mm² = 156.8 mm²
This value corresponds to selection ...
D) 156.8 mm²
Answer:
5/27
Step-by-step explanation:
I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.
10+5+7 = 22
So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.
You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)
To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.
4.93
^ This number is less than 5, so we round down to 4.9.
Answer:
x^2+6x+3=0
(X+3)^2-9+3=0
since (x+3)^2>=0 for any real value of x
at vertex
(X+3)^2=0
X=-3
i.e y=0-9+3=-6
vertex (-3,-6)
at y intercept x=0
y=3
x^2 coefficient is positive
therefore this is a concave up graph
We want to recast the equation into the standard form equation for a circle centered at (h, k) with radius r. That equation is
... (x -h)² + (y -k)² = r²
Start by completing the square for both x-terms and y-terms.
... x² - 4x + y² + 4y = k
To do that, add the squares of half the coefficients of the x- and y-terms.
... x² - 4x + (-2)² + y² + 4y + 2² = k + (-2)² + 2²
... (x -2)² + (y +2)² = k + 8 = r² . . . . . this is now equal to the square of the radius, so we have
... k + 8 = 6² = 36
Subtracting 8 gives
... k = 28 . . . . . . . matches selection D)