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Svet_ta [14]
2 years ago
15

Express the formula in terms of the height, Use that formula to find the height when the volume is and the radius is

Mathematics
1 answer:
kupik [55]2 years ago
7 0

The formula to find the height of the Cylinder is; h = V/(πr²) and at V = 45π and r = 3, we have; h = 5

<h3>How to change the subject of the formula?</h3>

We are given the formula for volume of a cylinder as;

V = πr²h

where;

h is height

r is radius

To make h the subject, let us divide both sides by  πr² to get;

V/(πr²) = h

At V = 45π and r = 3, we have;

h = 45π/(πr²)

h = 45/3²

h = 5

Read more about Subject of formula at; brainly.com/question/10643782

#SPJ1

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Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package wa
LUCKY_DIMON [66]

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

7 0
3 years ago
Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156
tensa zangetsu [6.8K]
An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

an = 117 + 13n

an = 13n + 117
4 0
3 years ago
Ame
crimeas [40]

Answer:

Concept: Mathematical Analysis

  1. 2 friends share 56
  2. 5- 10 dollar bills and 6- one dollar
  3. We split the bills in half to equate equal change.
  4. Hence 5 bills ÷2= 2.5 or 25 dollars
  5. 6 bills÷2= 3 or 3 dollars
  6. You need to make change for the 10 dollars, break a bill into 5's
3 0
2 years ago
Which figure is NOT a polygon?
alexdok [17]

Answer:

A.

Hope It Help

Step-by-step explanation:

Brainliest please

5 0
2 years ago
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