Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]
the area of each trapezoid is (v(t1)+v(t2))/2 times width
for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8
2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24
3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75
4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7
add them all up
0.8+2.24+1.75+0.7=5.49
5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
Answer:
6m
Step-by-step explanation:
If it doesn't move it's just the same force
Answer: f(x^-1) = x/5 - 3/5
Step-by-step explanation:
1. Replace f(x) with y
2. Swap the positions of x and y to make x = 5y + 3
3. Solve for y by subtracting 3 from both sides and dividing each side by 5
Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>
Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's
From the question
a = 15
A = 70°
c = 14
So we have
C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>
Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>
To find b we can use the sine rule
That's
b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>
Hope this helps you
