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3 years ago

Find least common multiple of 9 and 12

Mathematics

1 answer:

Iteru [2.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

because multiples of 12 are 12, 24, 36, 48, etc

multiplex of 9 are 9, 18, 27, 36, etc

you would stop at 36 becomes the smallest common multiple of both of them is 36 and there is your answer

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A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants

nekit [7.7K]

Answer:

d = 24

Step-by-step explanation:

The area of a circle is given by A = π * r²

We are told the area of the clock is 144π.

Let's clear the formula for the radius:

r² = A / π

r² = 144π / π

r² = 144

r = √144

r = 12

The diameter is two times the radius, d = 2r = 2*12 = 24.

5 0

3 years ago

The value of loga (30a)^3 is

postnew [5]

Part 1 of the solution.

8 0

3 years ago

In 1/8 days, a construction crew built 1/4 miles of a road. What is the unit rate in miles per day.

tigry1 [53]

The unit rate of road construction is 2 miles per day.

Step-by-step explanation:

Given,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

To find

The rate of road constructed per day

Method

We will apply unitary method to solve it.

Now,

In $\frac{1}{8}$ days $\frac{1}{4}$ miles road is constructed.

In 1 day the road will be constructed = $\frac{1}{4}$ ÷ $\frac{1}{8}$ miles

= 2 miles

4 0

3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$