Answer:
Step-by-step explanation:
We can split the shape into a right triangle and a rectangle.
tan θ = opp/adj
Let c be the missing base for the right triangle.
tan45 = 4/c
c = 4/tan45
c = 4
x = 3 + 4
x = 7
sin θ = opp/hyp
sin45 = 4/y
y = 4/sin45
y = 
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
Answer:
A.
Step-by-step explanation:
x2 - 3x - 10. = 0
x2 + 2x - 5x - 10 = 0
(x2 + 2x) (-5x - 10) = 0
x (x + 2) - 5 (x + 2) = 0
(x - 5) (x + 2) = 0
x - 5 = 0 x + 2 = 0
x = 5 or x = - 2.
Is there a restriction that the set must be positive? or whole numbers? Because negative numbers can be even, which makes your set an infinite list of numbers.
Natural numbers: P = {2, 4, 6, 8, 10}
Whole numbers: P = {0, 2, 4, 6, 8, 10}
All real numbers: P = {2n ;n ≤ 5}
