Answer:
Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
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The computation shows that the thickness of the beam is 3.75 inches.
<h3>How to calculate the values?</h3>
11. The thickness of the beam will be:
= 3/4 inch × 5
= 3.75 inches.
12. The length of the board will be:
= 7 5/8 × 5
= 38.125 inches.
13. The total height of the stairs will be:
= 8 3/16 × 13
= 106.4375 inches.
14. The height of the stack will be:
= 55 × 3/8in
= 20.625 inches.
15. The length of the board will be:
= 3/4 × 86 1/4
= 64.6875 inches.
16. The number of hours that it'll take to replace the trim will be:
= 37 1/2 × 1/4
= 9.375 hours.
17. The height of the will required will be:
= 22 × 5/12
= 9.167 feet
18. The inches removed from the wood will be:
= 1/16 × 7
= 0.4375 inches.
19. The shortest finish stock will be:
= 3/16 × 15
= 2.8125 feet.
20. The total amount of board wasted will be:
= 3/16 × 11
= 2.0625 inches.
21. The total rise in the staircase will be:
= 22 × 7 3/8
= 162.25 inches.
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Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
----------
| |
| |
| | L = w+8
| |
| |
-----------
A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
For this case we have an equation of the form:
Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:
Rewriting we have:
Note: see attached image
Answer:
