Answer:
They can be expressed as fractions. > web's answer a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Step-by-step explanation:
Given:
Volume of toy=231 cm³
Diameter of a hemisphere= 7 cm
cone and hemisphere have equal radius.
radius of hemisphere = radius of cone = 3.5 cm
Height of hemisphere= radius of hemisphere= 3.5 cm
Let H be the height of toy
H= height of cone+ height of hemisphere
H = h + r , ( h = height of cone)
H = h + 3.5
volume of toy = volume of cone + volume of hemisphere
Volume of toy= 1/3πr²h + 2/3πr³
Volume of toy=πr²/3(h+2r)
231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)
231×3 =( 22×3.5×3.5)/7 (h+7)
h+7 = (231×3×7)/(3.5×3.5×22)
h+7 = (3×3)/(.5×.5×2)
h+7= 900 /50= 90/5= 18
h+7= 18
h=18-7
h= 11 cm
Height of toy = h+r
Height of toy = 11+3.5= 14.5
Height of toy =14.5 cm
Hence, the height of the toy = 13.5 cm
Answer:
the answer is 4 hours.
Step-by-step explanation:
x: time clark drove
Y: Mitchells time drove
60 times Y = 75 times x
y=x+1
60(x+1)=75x
60x+60=75x
60=15x (subtract the 60x to the other side)
60/15=4
x=4
Answer:
65.45 units^3
Step-by-step explanation:
5/2 (5 divided by 2) 2.5, to get the radius,
then using the volume equation you get 65.449846-bla bla, rounding: 65.45
-Hope this helps! ❤️
Answer:
There are currently 50 states in the United States.
The number of states in 1795 in the United States = 15
Now, the fraction of the states that had become a part of the United States by 1795 is given below: