Answer:
A and B
Step-by-step explanation:
Here, we want to select the statements that are sometimes true
The correct answers are that;
1. A parallelogram has congruent diagonals
This is in the case of a rectangle
Whenever we have the diagonals of a parallelogram equal, then what we have is a rhombus
b. A rhombus is a parallelogram
In this case, we have that a rhombus is a kind of parallelogram with all four sides equal and the diagonal meet at 90 degrees
(i) 175
(ii) option A - the average age of the trees in the forest
Step-by-step explanation:
Step 1 :
Cross sectional area of a cylindrical can = π * r² = π * 5² = 25π sq inches [Given radius = 5 inches ]
Step 2 :
Given rectangular prism has the same cross-sectional area, the cross sectional area of the prism = 25π sq inches
Given the height of the rectangular prism is same as that of the cylindrical can, the height of the prism is also 7 inches.
Step 3 :
Volume of the prism = Cross sectional area * height
= 25π * 7 [from step 1 and 2]
= 175
Second question
Step 1 :
The volume of wood that can be expected is equal to the volume of an average tree * the average number of trees per acre * number of acres.
The volume of the tree is determined by the dimensions of the tree .
We know that The volume of the tree does not depend on the age of the tree.
Hence the answer is option A - average age of the trees in the forest
The 2nd part:
( -2,-1)
(0,3)
( -4,2)
There are a total of 33 students in the class (21+12=33). There are 12 boys in the class so the chance of drawing a boys name would be 12/33 which reduces to 4/11. This means you will draw a boys name 4 times for every 11 draws. To find the percent probability, just divide...
4/11 =.3636
multiply by 100 to convert to a percentage ( move decimal to the right 2 places).
.3636 = 36.36%
There is a 36.36% chance that a boys name is drawn.