Answer:
63.2 = y
Step-by-step explanation:
The perimeter is the sum of all the sides
P = 7.8+ y+37.6 + y
171.8 = 7.8+ y+37.6 + y
Combine like terms
171.8 = 45.4 + 2y
Subtract 45.4 from both sides
171.8-45.4 = 45.4 + 2y -45.4
126.4 = 2y
Divide each side by 2
126.4/2 = 2y/2
63.2 = y
9514 1404 393
Answer:
sin(D) = cos(E) = (√3)/2
cos(D) = sin(E) = 1/2
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
For this diagram, this means ...
sin(D) = cos(E) = (13√3)/26 = (√3)/2
cos(D) = sin(E) = 13/26 = 1/2
Answer:
3−y
2. 8
4.2bh
Step-by-step explanation:
5(2x+y)=15
2 Divide both sides by 55.
2x+y=\frac{15}{5}2x+y=
5
15
3 Simplify \frac{15}{5}
5
15
to 33.
2x+y=32x+y=3
4 Subtract yy from both sides.
2x=3-y2x=3−y
5 Divide both sides by 22.
x=\frac{3-y}{2}x=
2
1. 3−y
2. 8
2.Add 2y2y to both sides.
x=-8+2yx=−8+2y
2 Regroup terms.
x=2y-8x=2y−8
Answer:
Step-by-step explanation:
Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term (
) is the slope (change) of the line, and the constant is the y-intercept. In essence;( 
), where (
) is the slope and (
) is the y-intercept.
The slope of the given line is (
) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is (
) because this is the rate of burning, the slope is also negative since the height is decreasing. (
) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is (), where the output (
) is the current height of the candle, and the input () is the time at which the measruement was taken.
