Answer:
3): 14
Step-by-step explanation:
The problem states that ABC and DEF are similar. Therefore, dsue to similar triangles, we have 7x/7=4/x, so x^2=4. Therefore, x=2 (because x cannot be negative). Therefore, AB = 7x = 7*2=14
Answer:
The length of KH is 6 units and OH is 6.3 units.
Step-by-step explanation:
Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.
In ΔLOH
By Pythagoras theorem
→ (1)
In ΔKOH,
→ (2)
In ΔKHL,

Using eq (1) and (2), we get


⇒ 
⇒ 
Put the above value in eq 2, we get
⇒ KH=6 units.
Answer:
45 sq.units
Step-by-step explanation:
to get area of a triangle, it would be base*height/2, so 15*6/2 would be 90/2, which ends up being 45, which is the answer.
Answer:
1,498,454,000 sq. miles
Step-by-step explanation:
Volume of a sphere = 4/3 (3.14) r^3
So since the diameter is 1420 miles, the radius would be half.
V = 4/3 x (3.14) x 710^3
V=4.18666667 x 357,911,000
V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.
Answer: 63.75 = 85h
Solving gives 0.75 hours.
Step-by-step explanation:
we now that speed = distance / time
therefore time will be Distance / speed
Given that distance = 63.75miles
Speed= 6=85miles per hour
Time(h) = 63.75miles/ 85.---- equation 1
But from the options given, the equation that can also be used to find number of hours is
63.75 = 85h
such that making h subject of formula still give us
h= 63.75/85 as in equation 1 above
solving gives that Time ( h) = 0.75 hours .