Answer:
10 sq units
Step-by-step explanation:
Area of triangle = 1/2(4)(2) or 4 square units
Area of trapezoid = 1/2(2)(2+4) or 6 square units
Combined area = 10 sq units
The total number of fish available in the tank is (18 + 22) = 40. The probability for 1 goldfish to be taken out would be 18/40. Now, after drawing the first fish, the probability to get another goldfish would be 17/39. And the probability to draw 2 goldfish would be the product of both probabilities. P = (18/40)(17/39) = 51/260 So,the answer is B.
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft
also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft
90%=0.9
30%=0.3
115.9%=1.159
9%=0.09
7%=0.07
0.452=45.2%
0.006=0.6%
0.002=0.2%
0.05=5%
4.78=478%
Answer:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is 
.
Step-by-step explanation:
There are two kew parameters for a sphere: Center (
, 
, 
) and Radius (
). The radius is the midpoint of the line segment between endpoints. That is:
The radius can be found by halving the length of diameter, which can be determined by knowning location of endpoints and using Pythagorean Theorem:
The general formula of a sphere centered at (h, k, s) and with a radius r is:
Hence, the equation of a sphere with one of its diameters with endpoints (-9, -12, -6) and (11, 8, 14) is .
