Speed boat departed 1.75 hrs after steam boat1.8 hrs after speed boat departure, steam boat has sailed for a total: 1.8+1.75 = 3.55 hrssteam boat's speed is 36.8 km/hr, so it has traveled: 3.55*36.8 = 130.64 km
speed boat is 86.9 km behind steam boat. so it is 130.64-86.9 = 43.74 km from portspeed boat's speed = 43.74/1.8 = 24.3 km/hr
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
Answer:
387.0742
Step-by-step explanation:
Set up either long division or synthetic div. I'd do the latter.
Your divisor for synth. div. should be -7.
__________
Then -7 / 2 9 k
-14 +35
--------------------
2 -5 k+35 Rem is 32;
Let 32 = k + 5 and solve for k:
k = -3.
Let's check that. Is k correct?
Then -7 / 2 9 -3
-14 +35
--------------------
2 -5 -3+35 = 32
Since the rem is 32, we are correct; k = -3.
