Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200
Answers
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
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Jay evaluated the expression 3x(3+12 (divided by)3)-4 for his first step he added 3+12 to get 15. What is jays error? Find the correct answer. ( sorry their was no division sign)
Answers
This is because % is defined as 1/100, and the name (per-cent) actually meant this originally!
we can also simplify it: let's divide it by 4:
Answers
Answer:
2x-15
Step-by-step explanation:
x+2x-15=90
3x-15=90
3x=90+15
x=105/3
the other angle is 55
Answers
1) First, we have to start simplifying the algebraic symbols.
2) We have to separate those from the normal numbers.
3) There will be different types of algebraic symbols : group the similar ones and start simplifying.
=>
Answers
raspberries:blueberries:grapes:cherries
a ratio where b=blueberries can be made....
2b:b:3(4(2b)):4(2b)
2b:b:24b:8b
substitute b for 1
raspberries:blueberries:grapes:cherries
2:1:24:8
2+1+24+8=35
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Answers
Answer:
x =-2 and z =-4
Step-by-step explanation:
We need to solve the following systems of equation
-3x-2y+4z = -16 eq(1)
10x+10y-5z = 30 eq(2)
5x+7y+8z = -21 eq(3)
Multiply eq(1) with 10 and eq(2) with 3
-30x-20y+40z = -160
30x+30y-15z = 90
__________________
10y+25z = -70
Divide by 10
2y+5z = -14 eq(4)
Multiply eq(1) with 10 and eq(3) with 6
-30x-20y+40z = -160
30x+42y+48z = -126
__________________
22y+88z = -286
Divide by 11
2y+8z = -26 eq(5)
Subtract eq(4) and eq(5)
2y+5z = -14
2y+8z = -26
- - +
__________
-3z = 12
z = 12/-3
z = -4
Putting value of z in eq(4)
2y+5z = -14
2y +5(-4) = -14
2y = -14 +20
2y = 6
y = 3
Putting value of z and y in eq(1)
-3x-2y+4z = -16
-3x-2(3)+4(-4) = -16
-3x -6 -16 = -16
-3x = -16+16+6
-3x = 6
x = 6/-3
x = -2
Answers
Answer:
y = x + 2
Step-by-step explanation:
the formula for this basic equation is
y = mx + b
m = 5/5 (slope)
b = 2 (y-intercept)
5/5 simplified is just 1
so if we put it in the equation you get y = 1x + 2
but 1x is the same as just saying x
so
y = x + 2