Answer:

Step-by-step explanation:
we have

Multiply by
both sides


Adds
both sides


Answer: 1080 
Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).
The sides of the triangular base are:
b1 = 13 in.
b2 = 14 in.
b3 = 15 in.
The triangular base is a right triangle, and so the height is one of our sides. We will use
h = 12 in.
The length of the prism is
l = 20 in.
total surface area = bh + (b1+b2+b3)*l
bh = 12*20 = 240 
l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 
TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 
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Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72
Answer:
V = 300 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
Here A = 15 and h = 20 , then
V = 15 × 20 = 300 cm³
9514 1404 393
Answer:
- 69
- 100
- -24
- 1/729
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. Your calculator can help.
1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69
__
2. add 16 to find x.
x -16 = 29
x = 45
Then do the substitution:
2(45 +5) = 2(50) = 100
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3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24
__
4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729