Answer:
112 ft³
Step-by-step explanation:
→ Length (l) = 7 ft
→ Breadth (b) = 4 ft
→ Height (h) = 4 ft
Formula we use,
→ l × b × h
The volume of cuboid will be,
→ l × b × h
→ 7 × 4 × 4
→ [ 112 ft³ ]
Hence, the volume is 112 ft³.
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
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
<span>d. y = 15x 900</span>
Although you do not give the rates I assume the answer is D as it is the only positive multiplication. You cannot have negative height.
Y + 0.4 = 2 .....subtract 0.4 from both sides
y = 2 - 0.4
y = 1.6 <==