Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Answer: 17/7
Step-by-step explanation: Step 1: Simplify both sides of the equation. y+4/15 + 2y−5/5 = 2/5 1/15 y+ 4/15 + 2/5 y+−1= 2/5 (Distribute) ( 1/15 y+ 2/5 y)+( 4/15 +−1)= 2/5 (Combine Like Terms) 7/15 y+ −11/15 = 2/5 7/15 y+ −11/15 = 2/5 Step 2: Add 11/15 to both sides. 7/15 y+ −11/15 + 11/15 = 2/5 + 11/15 7 15 y= 17/15
Answer:
2x+ 2.1 = 7.5
x=2.7
Step-by-step explanation:
The perimeter of an isosceles triangle with sides x and y is
2x+y = P
I put y as the single side since the question said y is the shortest side. It should say shorter sides if the two sides with the same length are smaller than the third.
We know y =2.1 and P = 7.5
Substituting these values in, we get
2x+ 2.1 = 7.5
Subtract 2.1 from each side
2x+2.1 -2.1 = 7.5 -2.1
2x= 5.4
Divide each side by 2
2x/2 = 5.4/2
x = 2.7 m
Answer:
93.5 inches
Step-by-step explanation:
Length times width
Let's say:
lengh=x
width=y
"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).
the parameter is (by definition) 2*lenght+2*width.
so we have 2*x+2y=24.
we also know that x=y+4
Substituting:
2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.
y=4
So the width is 4!
The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)
