Answer:
Angle θ would be about 17.1 degrees.
Step-by-step explanation:
To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².
c = √4² + 13²
Square 4 and 13 to get 16 and 169 respectively.
c = √16 + 169
Add 16 and 169 to get 185.
c = √185
Find the square root of 185 (I'll round to the nearest tenth.)
c = 13.60147 ≈ 13.6 units
To find angle β, divide AC by AB and find the inverse sine of that.
β = arcsin(13/13.6)
Divide 13 by 13.6. Round to the nearest thousandth.
β = arcsin(0.955)
β ≈ 1.2723 rad
To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.
β ≈ (1.2723 * 57.2957795)°
β ≈ 72.8974203 ≈ 72.9 degrees
Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.
To find the answer, set up an equation:
Using this set up we can cross out the units that are on opposite sides of the proportion such as miles and hours, leaving us with the desired units of meters and seconds. Then calculate m/s by multiplying 45 by 1000 meters and then dividing that value by 3600 seconds.
The resulting answer is 45mph = 12.5 m/s
Answer:
1 1/2
Step-by-step explanation:
3 1/3 = 10/3 = 20/6
1 5/6 = 11/6
20/6 - 11/6 = 9/6 = 1 1/2
16 because u multiply 3 by what ever is in the ()
Answer:
Equation Form:
x=7,y=−2
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x
opposite.
(−1)⋅(2x+5y)=(−1)(4)
2x−2y=18
Simplify.
−2x−5y=−4
2x−2y=18
Add the two equations together to eliminate x
from the system.
(−2x−5y=−4) +(2x−2y=18) = (-7y=14)
Divide each term by −7 and simplify.
y=−2
Substitute the value found for y into one of the original equations, then solve for x.
x=7
The solution to the independent system of equations can be represented as a point. (7,−2)
The result can be shown in multiple forms.
Point Form:
(7,−2)
Equation Form:
x=7,y=−2
