In the given triangle, y = 32°.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.
sin y = 
.
Step 2; Length of the opposite side = 9 cm.
Length of the hypotenuse side = 17 cm.
sin y = = 
= 0.5294.
We can multiply inverse sine on both sides to solve y.
y = 
(0.5294) = 31.9657°.
Rounding this off to the nearest tenth we get, y = 32.0°.
The activity series is an arrangement of species in order of reactivity.
<h3>What is the activity series?</h3>
The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.
The following are the fates of these reactions;
- 2NaBr + I2--------->2NaI + Br2 - Not possible
- 2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible
- 2AgNO3 + Ni ----------> Ni(NO3)2 + 2Ag - possible
- Pb + Zn(C2H3O2)2 ----------> Zn + Pb(C2H3O2)2 - Not possible
Learn more about activity series:brainly.com/question/18080147
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Answer:
Step-by-step explanation:
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore 
. The highest y can get is 50.
Let's replace y with x+18 and isolate x
y is replaced with x+18
subtract 18 from both sides
This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
Answer:
y = 2 x minus 6
Step-by-step explanation:
(-6,-18) and (-1,-8)
Slope: (-8 - -18)/(-1 - -6)
10/5
2
y = 2x + c
-8 = 2(-1) + c
-8 = -2 + c
c = -6
y = 2x - 6
y = 2x - 4
