Answer:
5
Step-by-step explanation:
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
<h3>How to Find the Surface Area of Triangular Prism?</h3>
Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
Learn more about Surface Area of Triangular Prism on:
brainly.com/question/16147227
#SPJ1
Answer: m=-6
Step-by-step explanation:
Add 7 to the other side
Answer:
w = 
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
+ lx = 5x + 25
lx - 5x = 25 - 
x(l - 5) = 25 - 
x = 
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w = 
Answer:
1 + cosa sina
Step-by-step explanation:

cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then

=
← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina