Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
Answer:
m = 10
Step-by-step explanation:
The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>
A. Factor 28 + 7g 7(g <span>+ 4)
add
28 </span><span>+ 7g
= 7 (g </span>+ 4)
B. (12r + 15) – 65 Remove parentheses
12r+15-65
= 12r - 50
C. 24 – (8p – 12)
24 - (8p - 12) = -8p + 36
24 - (8p - 12) -(8p - 12) 8p + 12
= 24-8p+12
Simplify 24-8p+12
Group like terms
-8p+12+24
Add the numbers 12+24=36
Answer is -8p+36
Answer:
9 in
Step-by-step explanation:
a short bored is 9 in
37-10=27
27÷3=9
So that means a short bored is 9 in
Answer:
2
Step-by-step explanation:
<u>Since it is AP, the common difference is same for any term:</u>
- (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
- 3x - 3 = 2x -1
- 3x - 2x = 3 - 1
- x= 2
<u>The first 3 terms are:</u>
<u>Since the last term is 18, it means this AP has 6 terms:</u>
<u>Answer: </u>as we need to find the value of x only, it is = 2