Step-by-step explanation:
it looks like this is a regular (right) triangular prism with 3 equal side areas and one bottom area.
the surface area of the pyramid is the sum of all 4 of these areas.
all these areas are triangles.
the area of a triangle is
baseline × height / 2
in our case
1 side area is 6×8.2/2 = 3×8.2 = 24.6 yd²
all 3 side areas together are 24.6×3 = 73.8 yd²
the bottom triangle is
6×5.2/2 = 3×5.2 = 15.6 yd²
so, the total surface area is
73.8 + 15.6 = 89.4 yd²
Answer:
-24
Step-by-step explanation:
I´m guessing by the big x sign you want me to multiply so the first step in the equation is to multiply because of PEMDAS so(6*2)+(8*-3)-3*2-6,
so 6*2=12,8*-3=-24,-3*2=-6
12+-24-6-6,
12-24=-12,-6+-6=-12
-12+-12=-24
Answer:
P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
First, you have to answer the question in simplest form:
<span>3x - 4y = 5 (Subtraction property of equality) Subtract both sides by -3x.
-4y = -3 +5 (Divide both side by -4.))
</span>y = 3/4x(slope) 4/5 y-intercept.
10 yards because a square has 4 sides and all four sides are equal and so 40 divided by 4 equals 10
