Answer:
Lateral surface area formula: AL=(a+b+c)h
Step-by-step explanation:
"Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism."
Ok, so you can just ignore that 8.7 ft (height of triangle shape). It's not important for finding the lateral surface area.
a, b, c are the base sides. You add the sides of a triangle.
Multiply (a+b+c) with the height, h.
(10 + 10 + 10) x 17 = ?
[this formula can apply for ANY triangular prism no matter which position it's shown]
ANSWER: 510 ft^2
3 x^{2} + 8x +(-4) = 0
x = <u>-b + √ b² - 4ac</u>
2a
x = <u>-8 + √ 8² - 4(3)(-4)</u>
2(3)
x = <u>-8 + √64 - 48 </u>
6
x = -<u>8 + √16
</u> 6<u>
</u>x = -<u>8 + 4 </u> x = <u>-8 - 4</u>
6 6<u>
</u>x = <u>-4 </u> x = <u>-12</u>
6 6
x =<u> -2 </u> x = -2<u>
</u> 3 <u>
</u>
Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
Answer:
∠ZVW= 45
∠ZWV = 31
x=1
Step-by-step explanation:
Properties of a Parallelogram ( including diagonals )
Diagonals of a parallelogram bisect each other.
The diagonals are cut into two equal parts
Opposite angles are congruent
Given this information we need to find x, ∠ZVW and ∠ ZWV
First lets find x
Like stated previously diagonals cut each other into two equal parts
That being said segment WZ ≅ segment ZY
Knowing this we create an equation
2z-1=1
step 1 add 1 to each side
-1 + 1 cancels out
1 + 1 = 2
now we have 2x = 2
step 2 divide each side by 2
2x/2=x
2/2=1
we're left with x = 1
Now lets find ∠ZVW
∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )
This means that because ∠ZXY = 45 ∠ZVW also = 45
Now lets find ∠ZWV
∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)
So because ∠XYZ = 31 ∠ZWV also = 31
