Amount of points don't matter what is the question lets see if I can help
width = 10 feet → C
let l represent the length then width = l - 8
perimeter = 2(length + width) = 2(l + l - 8)
given perimeter = 56 then
2(2l - 8)= 56
divide both sides by 2
2l - 8 =
= 28
add 8 to both sides
2l = 28 + 8 = 36
divide both sides by 2
l =
= 18
thus length = 18 feet and width = 18 - 8 = 10 feet
-- The whole discussion involves 4 rooms, never more and never less,
so we can call the 4 rooms "1 job" for simplicity.
-- Patrice, by himself, does the job in 10 hours. So he does 1/10 of
the job each hour.
-- Working together, Patrice and April do the job in 6 hours. So when
they work together, they do 1/6 of the job each hour.
-- April's part of the job is (1/6 - 1/10) = (5/30 - 3/30) = 2/30 = 1/15 job per hour.
-- Her unit rate alone is 1/15 job per hour, or <em>15 hours</em> per job.
Answer:
1) Volume of triangular pyramid = 33 cm³.
2) Volume of triangular prism = 99 cm³
Step-by-step explanation:
1) Volume of a triangular pyramid is given as;
V_py = ⅓Ah
Where A is area of base and h is height
We see from the diagram that;
A = 11 cm²
h = 9 cm
Thus; V_py = ⅓ × 11 × 9 = 33 cm³
2) Volume of triangular prism is given by;
V_pr = ½bhl
Where;
½bh is area of triangular cross section
l is length
We see from the diagram that ½bh = 11 cm² and L = 9 cm
Thus;
V_pr = 11 × 9 = 99 cm³