Hello!
To solve this we use the equation sin60 = (s/2) / (d/2)
s is a side of the triangle
d is the diameter
sin60 = s/d




put 6 in for s


d = 6.9
The answer is C) 6.9
Hope this helps!
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
Answer:
The area will be increased by 72 feet.
Step-by-step explanation:
4 x 6 = 24
Now we have to double those lengths.
We know that 4 x 2 is 8 and 6 x 2 is 12.
So the new equation would be: 8 x 12 = 96
Now we take the original area and subtract it by the new area.
96 - 24 = 72
Hope this helps:)
Move everything to one side
Equation
2x^2 - 5x -3 = 0
Sq rt means square root or radical sign
Quadratic equation-> x = - (b) +/- Sq rt b^2 -4ac
2a
- (-5) +/- Sq rt (-5)^2 - 4(2)(-3)
2 (2)
5 +/- Sq rt 25 + 24
4
Sq rt 29 = 5.38
5 + Sq rt 29 divides over 4 and 5 - Sq rt 29 divides over 4.
Answer:
<em>First even integer: 6</em>
Step-by-step explanation:
<u>Inequalities</u>
Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.
The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:

Operating:

Subtracting 2 and 2x:

Simplifying:

Solving:
x>5
There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):
First integer: 6
Second integer: 8
Third integer: 10
There are other solutions, like 20,22,24 but the first set is 6,8,10.