Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
Step-by-step explanation:
4/9 is in lowest terms because it does not have any other common factor , other than 1 so it can't be reduced more .
A. True
28/35 which u can't go any further than this bc 35 isn't divisible by 2 nor is 28 divisible by 5
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>
To solve this problem, we must recall that the formula
for velocity assuming linear motion:
v = d / t
Where,
v = velocity
d = distance
t = time
For condition 1: bus travelling on a level road
v1 = d1 / t1
<span>(v2 + 20) = (449 – d2) / 4 --->1</span>
For condition 2: bus travelling on a winding road
v2 = d2 / t2
<span>v2 = d2 / 5 --->2</span>
Combining equations 1 and 2:
(d2 / 5) + 20 = (449 – d2) / 4
0.8 d2 + 80 = 449 – d2
1.8 d2 = 369
d2 = 205 miles
Using equation 2, find for v2:
v2 = 205 / 5
v2 = 41 mph
Since v1 = v2 + 20
v1 = 41 + 20
v1 = 61 mph
Therefore
<span>the
average speed on the level road is 61 mph.</span>
