Set up your two equations:
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is 
ft.
Height of Skateboard ramp is 
ft.
From figure,
It is forming a Right angle triangle 
.
In , 
and 
.
Clearly see that we need to find measure of angle 
.
Using Trigonometric ratio:
So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Answer:
2839.4 meters
Step-by-step explanation:
Given that:
Altitude = 1200 m
Using trigonometry :
The distance from point P to the airplane :
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin θ = altitude / x
Sin θ = 1200 m / x
Sin 25 = 1200 / x
0.4226182 = 1200 / x
x = 1200 / 0.4226182
x = 2839.4423
Distance from P to airplane = 2839.4 meters
Answer:
160°
Step-by-step explanation:
The formula below gives the measure of an interior angle of a regular polygon of n sides.
[(n - 2)180]/n
[(18 - 2)180]/18
16(10)
160
Answer: 160°
Answer:
2(39)(31)+2(39^2)=5460m^2
Step-by-step explanation:
