Answer:
(a) 3 ft, 4 ft, 5 ft
Step-by-step explanation:
The triangle inequality requires the sum of the two short sides exceed the long side.
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a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible
b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle
c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle
d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)
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The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.
In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
<h3>What is the ship vector about?</h3>
The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
Learn more about vectors from
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Answer:
The value of x is 10
Step-by-step explanation:
We can use a system of equations to solve this.
Cups of 25% bleach solution used = x
Cups of 1-% bleach solution used = 5
Cups of solution we get = y
The first equation becomes:
x + 5 = y
Using the decimal forms of each percentage solution
25% solution for x cups = 0.25x
10% solution for 5 cups = 0.1(5)
20% solution for y cups = 0.2 y
The second equation becomes:
0.25x + 0.1(5) = 0.2y
So the system of equations is:
x + 5 = y
0.25x + 0.1(5) = 0.2y
Solve both equations simultaneously to find the values of x and y:
x = 10 cups
y = 15 cups
Answer:
i think it is A
Step-by-step explanation:
