Answer:
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
Step-by-step explanation:
= <span><span>−x</span>+6</span>
<span>=<span><span> −<span>3x</span></span>+3</span></span>
<span>= </span><span><span>−x</span>+6</span>
= <span><span>2x</span>−3</span>
<span>= <span><span>−<span>4x</span></span>−<span>17</span></span></span>
Hello from MrBillDoesMath!
Answer:
Perimeter = 60
Height = 18/5
Discussion:
The diagonals of a rhombus bisect each other at right angles. So a rhombus can be viewed as the union of 4 congruent right triangles, each with legs (1/2)*18 = 9 and (1/2) *24 = 12. See attachment. This gives a hypotenuse length of 15 so the Perimeter = 4 *c = 60.
The height ( = altitude) of a rhombus is
= area / length of base
= (1/2) ( (18) * 24) /c
= (1/2) ( 18 * 24) / 60
= 18/5
Thank you,
MrB
Answer:
Adult plate = 21 , child plate = 11
Step-by-step explanation:
number of adult plate = a , no of child plate = c
$487 = $19a + $8c (equation 1)
32 = a + c (equation 2)
Multiply equation 2 by 8 gets you:
256 = 8a + 8c (equation 3)
Solve equation 1 and equation 3 simultaneously:
487 = 19a + 8c (equation 1) minus
256 = 8a + 8c (equation 3) :
231 = 11a
a = 231/11
a= 21
Substitute a = 21 into equation 2 :
32 = 21 + c
c = 32 - 21
c = 11
So 21 adult plates and 11 child plates were sold.
B is congruent to F and E is congruent to C
A and D are not congruent to any others.
Answer:
A . Triangle A
D. Triangle D
