Answer:
18
Step-by-step explanation:
I think the attached phôt below is your full question.
<u>And here is my answer: </u>
Surface area of a triangular prism = hight * area of the base
Here we have:
- h= 12
- Area of the base = 1/2 *2* 1.5 = 1.5
=> Surface area = 12*1.5 = 18
Volume=legntht imes widht time height
volume=11 and 3/5 times 9 times 12 and 1/2
volue=11 and 6/10 times 9 times 12 and 5/10
volume=11.6 times 9 times 12.5
volume=1305 m^3
<h3>Answer:
122 degrees</h3>
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Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
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Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
- angle A = 7x+1 = 7*4+1 = 28+1 = 29
- angle C = 5x+9 = 5*4+9 = 20+9 = 29
Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
Answer: see work below
Step-by-step explanation:
1) 3(2f + 4)
distribute the 3
= 6f + 12
2) 3(4t + 2)
distribute the 3
= 12t + 6
3) 7(6k -2v)
distribute the 7
= 42k - 14v
4) 5(2q - 9)
distribute the 5
= 10q - 45
(im not sure what the red mark is. if it's a negative than my answer would be opposite: -10q + 45)
5) 3(2e + 5t)
distribute the 3
= 6e + 15t
(im not sure what the red mark is. if it's a negative my answer would be opposite: -6e -15t)
6) 4(3r - 5)
distribute the 4
= 12r - 20
I will give in y=mx+b and ax+by=c form
using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)
slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)
given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)
y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33
equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
