Answer:
16.9 m
Step-by-step explanation:
Start with a half a circle. The central angle of a semicircle is 180 deg.
Now subtract 21 deg on each side.
180 - 21 - 21 = 138
The central angle is 138 deg.
The radius is 7 m.
Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
2. Pass the number 50 from the right member to the left member. Then you obtain:
x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span>
3. Then, you must apply the quadratic equation, which is:
x=(-b±√(b^2-4ac))/2a
</span><span>x^2+20x+50=0
</span><span>
a=1
b=20
c=50
4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
-10</span>±5√2 (It is the last option).
Answer:
The value of g(f(1)) is 84/5
Step-by-step explanation:
To find the answer to a composite function, start with the function on the inside, which is f(1). So, we input 1 into the f(x) equation and evaluate.
f(x) = 6x + 2
f(1) = 6(1) + 2
f(1) = 6 + 2
f(1) = 8
Now that we have the answer of 8, we can input that in for x in the outside function, which is g(x).
g(x) = 2x + 4/5
g(8) = 2(8) + 4/5
g(8) = 16 + 4/5
g(8) = 84/5
Answer:
c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
Step-by-step explanation:
Here, t = 320.00 + 0.40 b
and t = The total prices charged by Terrance for packing and moving b boxes.
s = 250.00 +0.50 b
and s = The total prices charged by Sylvester for packing and moving b boxes.
Now, to find the number of boxes, when both the prices are equal.
⇒320.00 + 0.40 b = 250.00 +0.50 b
or, 320 - 250 = 0.50 b - 0.40 b
or, 0.10 b = 70
or, b= 70/0.10 = 700
Hence, for packing and moving b = 700 boxes, both companies charge the same amount.
Now, the price charged = 320 + 0.4 (b)
= 320 + 0.4(70) = 320 + 280
= 600
or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
