Answer:
6) 48/52
7)48/73
Step-by-step explanation:
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- Sine of an angle = Opposite side/Hypotenuse
- Cosine of an angle = Adjacent side/Hypotenuse
- Tangent of an angle = Opposite side/Adjacent side
These three operators can be thought of as ratios of certain sides of a triangle. A ratio is just a comparison of two quantities; or lengths of the sides in this case.
Answer:
infinitely many solutions
Step-by-step explanation:
2(x-3)=1/2(4x-12)
2x-6=2x-6
both sides are the same so its infinitely many solutions
Answer:
Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:
1=7
1=5
1=2
Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.
5 x 7=35
5 x 5=25
5 x 2=10
After that you add it all together:
35 plus 25=60
60 plus 10=70
Step-by-step explanation:
your welcome
Pair 2 is a reflection. If you rotated it it would be flipped, so that doesn’t make sense.
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
