<span>Angles on one side of a straight line always add to 180°.
Look at the picture.
a = 180° - 134° = 46°
b = 180° - 130° = 50°
</span><span>In a triangle, the three interior angles always add to 180°.
a + b + c = 180°
c = 180° - (46° + 50°) = 180° - 96° = 84°
x° = 180° - 84° = 96°</span>
<span>We can see that:
x = a + b</span>
Let the length of string A be x
it is 1 yard = 3 ft shorter than string B
so length of string B = x+3
String C is 1ft 8 inches shorter than B,
so C = x+ 1ft 8 inch = x+ 1+ 2/3 ft.
Total of A +B+C = 13ft 4inch = 13 + 1/3 ft.
x + x+3 + x+1+2/3 = 13 + 1/3
3x + 4 + 2/3 -1/3 = 13
3x = 13 - 4- 1/3
3x = 9 -1/3
x = 3 -1/9
x = 3ft - 12/9 inches = 3 ft - 4/3 inches
x = 2.889 ft
Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
Answer:
Step-by-step explanation:
If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:
Here the machines are constant and the rate is x toys per hour:
If 5 machines make x per hour:
Rate is x/1 hour
The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:
Rate for 5 machines is x and for 8 machines is y:
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
