Answer:
65.46 units
Step-by-step explanation:
Given the information:
- The vertex angle of an isosceles triangle measures 26°
=> the leg angle is:
= (180° - 26° )/2
= 77°
Let x is the length of the leg side (x>0)
We use cosine law to find x, we have:
=
Because the isosceles has two equal leg sides
<=>
= 2
- 1.79
<=> 0.21
=
<=> 
<=> x = 65.46 units
Hope it will find you well.
Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is
miles.
Answer:
187.5% increase
Step-by-step explanation:
Percent change formula: 
Initially, the program had 8 members and ended with 15 so 
Graph B would be the answer.
3x-2y=12
-2y=-3x+12
y=3/2x-6
Step-by-step explanation:
the function actually is
y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30
still, the slope (the factor of x) is 40.
that means y (the cost) increases by 40 for every additional hour (x increases by 1).
so, the rate of change (slope) is 40/1 = $40 per hour.