Answer:
Properties of rhombus
. all the properties of a parallelogram( apply the ones that matter hair are parallel sides opposite angles congruent and consecutive angles are supplementary)
. all sides are congruent by definition
. the diagonals bisect the angles
. the diagonals are perpendicular bisectors of each other
Properties of rectangle
. all the properties of parallelogram apply (the ones that matter hair are parallel sides, opposite sides are congruent, and diagonals bisect each other)
. all angles are right angles by definition
. the diagonals are congruent
Properties of square
. all the properties of a rhombus apply( the ones that matter have a parallel sides diagonals are perpendicular bisector of each other and diagonals bisect the angles)
. All the properties of rectangle apply (the only one that matter where is diagonals are congruent)
. All angles are right angles by definition
Hope it will help you
Step-by-step explanation:
Answer: 810
Step-by-step explanation:
first lets take down the information we were given,
height (h) of the pyramid should be 12 - 9 = 3
base (a) = 9
So we calculate the volume of a square pyramid
V = a²h/3
V = (9² × 3) / 3
v = (81 × 3) / 3
V = 81
now we calculate the volume of the cube using the formula
V = a³
V = 9³
V = 729
NOW to get the volume of the entire figure
we say
volume of square pyramid + volume of cube
81 + 729 = 810
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
No x intercept because there is no solution
