Answer:
We are here given,
4a+23-22 = 32
Solving (23-22):
4a+1 = 32
Now transposing (+1) to RHS:
4a = 32-1
=4a = 31
Now transposing 4 to RHS:
a = 31÷4
= a = 7.75
Thus the value of a is 7.75
The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):

If the volume of the cone is 270pi and the height of the cone is 10, then:

The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:

The total volume is 513 pi cm^3
Answer: So, multiplying two rationals is the same as multiplying two such fractions, will result in another fraction of this same form since integers are closed under multiplication. , multiplying two rational numbers produces gets another rational number.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
The distance bicycle tire travels is <u>1946.8 cm</u>.
Step-by-step explanation:
Given:
Diameter of bicycle tire = 62 cm.
The bicycle tire travels in 10 revolutions.
Now, to find the distance the bicycle tire travels in 10 revolutions.
Diameter = 62 cm.
Radius (r) = 
So, we get the circumference first by putting formula:


Thus, we get the <u><em>circumference of tire 194.68 cm.</em></u>
<u><em>Number of revolutions the tire travels = 10.</em></u>
Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

Therefore, the distance bicycle tire travels is 1946.8 cm.