Answer: AD = 9cm
Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.
BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm
BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3
Subtract BD from AB.
That's 12 - 3 = 9 the length of AD
Answer:
Step-by-step explanation:
small=s, s=3.99
large=l, l=19.20
10s+8l=192.20
20s+l=99
we can see that in the second equation, 20s+l=99
l=99-20s
lets replace l in the first equation
10s+8(99-20s)=192.20
10s+792-160s=192.20
-150s=-792+192.20
150s=599.80
s=3.99
l=99-20(3.99)=99-79.80=19.20
Answer:
The first option (0.80)
Step-by-step explanation:
First, we need to find all the outcomes which meet the criteria, and in this case there are 1,3,5,6,7,8,9,10. In total we have 8 outcomes that meet our criteria out of 10 outcomes,, therefore the probability of the outcome to be greater than 4 or an odd number equals...
8 / 10 = 0.8
Answer:
340.8cm^2
Step-by-step explanation:
So surface area is basically the area of all the sides combined. And we know that the area of a triangle is 1/2bh, and for a rectangle it is LW. So there are three congruent rectangles, and one of those rectangle's area is 72 ( 6 x 12), so you can multiply that by 3 to find all three rectangles, which is 216. We also know that the two triangles are congruent. and the base is 12, and height is 10.4, so 12 x 10.4 is 124.8.
We take the total of the rectangles and the triangles to find the total surface area:
216 + 124.8 = 340.8cm^2
