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ANTONII [103]
3 years ago
6

An isosceles triangle has its vertex at the origin and its base parallel to the x-axis with the vertices above the axis on the c

urve y = 27-x^2. Find the largest area the triangle can have.
Mathematics
1 answer:
Virty [35]3 years ago
7 0
We are given with an isosceles triangle having a vertex on the curve given y =<span>27-x^2</span> .
The area of the triangle, A= xy = x (27-x^2) 
A' = 27-x^2-2x^2 = 0 
x = 3 
Amax = 3(27-9) = 54 units2
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How many liters of gasoline to fill 13.2 gallon tank?
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<span><span>1.       </span><span>Find how many liters of gasoline to fill 13.2 gallon tank.
based on the metric conversion, there are 3.79 liters of liquid in every 1 liquid gallon.
Now, since we have 13.2 gallon tank, we need to multiply it with the given unit of conversion
=> 1 gallon = 3.79 liters
=> 13.2 gallon x 3.79 liters
=> 13.2 x 3.79
</span>=> 50.028, therefore it needs around 50.028 liters of gasoline to be able to fill the 13.2 gallon tank</span>



5 0
3 years ago
Can someone please explain this
SSSSS [86.1K]

Answer:

-1

Step-by-step explanation:

can you also hep me on something

4 0
3 years ago
Whats the radius and center of (x+4)^2+(y-2)^2=9
Fiesta28 [93]
I believe the center would be (-4,2) while the radius should be 3.
8 0
3 years ago
What is the recursive formula for the sequence?<br><br> 8, 6, 4, 2, 0, . . .
e-lub [12.9K]

Step-by-step explanation:

Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

Thus, the common difference between any two consecutive term is - 2.

The recursive formula is given as:

f(1)=a_1 = 8\\\\f(2)=a_2 = a_1 - 2\\\\f(3)=a_3 = a_2 - 2\\\\f(4)=a_4 = a_3 - 2\\\\f(5)=a_5 = a_4 - 2\\\\\therefore f(n) = a_n=a_{n-1}-2 \\

3 0
3 years ago
Use the Law of Sines to find the missing angle of the triangle. Find m&lt;b to the nearest tenth.
defon
1. By the Law of Sines, you have:

 SinA/a=SinB/b=SinC/c

  2. You don't need the fraction SinC/c, so you can eliminate it. Then:

 SinA/a=SinB/b

 A=40°
 a=19
 B=m∠b
 b=13

 3. When you substitute this values into SinA/a=SinB/b, you obtain:

 SinA/a=SinB/b
 Sin(40°)/19=SinB/13
 SinB=13xSin(40°)/19
 m∠b=SinB^-1(13xSin(40°)/19)
 m∠b=26.1°

 Therefore, the answer is: 26.1 degrees.
6 0
2 years ago
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