Answer:
The answer to your question is below
Step-by-step explanation:
Use trigonometric functions to find x
13. cos 40 = 5/x
x = 5 / cos 40
x = 5 / 0.766
x = 6.5
14. tan 25 = x/9
x = 9tan 25
x = 9(0.466)
x = 4.2
15.- cos 65 = x/12
x = 12 cos 65
x = 12 (0.423)
x = 5.1
16.- sin 32 = 15/x
x = 15 / sin 32
x = 15 / 0.53
x = 28.3
17.- tan 55 = 20 / x
x = 20 / tan 55
x = 20 / 1.42
x = 14
18.- sin31 = x / 18
x = 18 sin 31
x = 18 (0.52)
x = 9.3
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer:
50
Step-by-step explanation:
because 50 pints
Answer:
180
Step-by-step explanation:
formulae=H×L×W so....5×9×4=180