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stiks02 [169]
2 years ago
8

At a military function, three cannons are fired at intervals of 12

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
3 0

Answer:

144 seconds

Step-by-step explanation:

To do solve this question, we must find the LCM (least common multiple) of 12, 16, and 18.

Let's start by prime factorizing (finding the prime factors) all the numbers.

12\rightarrow3*4\rightarrow2*2*3

16\rightarrow4*4\rightarrow2*2*2*2

18\rightarrow2*9\rightarrow2*3*3

Now, we must find the greatest quantity of each [prime] number and multiply them together to obtain the least common multiple.

Upon further evaluation of the [prime] factors, we can see that we need four 2s and two 3s. Therefore...

2*2*2*2*3*3=2^4*3^2=16*9=144

They will be fired together again after 144 seconds.

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Classify the following triangle. check all that apply​
Karo-lina-s [1.5K]

Answer:

Options (A), (B)

Step-by-step explanation:

Option A.

Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.

Option (B).

Given triangle has a right angle. Therefore, it's a right triangle.

Option (C).

Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.

Option (D).

Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.

Option (E).

A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.

Option (F).

Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.

5 0
3 years ago
The volume of a cube is 343 cm³ what is the surface area of the cube
blagie [28]
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5 0
3 years ago
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A canvan crosses 1,738 miles of desert in 85 days l. It traveled 22 miles on the first day and 28 miles on the second day. If th
joja [24]

Answer:

Okay. So first you add 22+28=50.  Then subtract 1,738-50=1,688. Then divide 1,688 by 2 witch should give you an answer of 844 miles each day.              Hope it helped!

Step-by-step explanation:

3 0
3 years ago
Use linear approximation to approximate √25.3 as follows.
Sophie [7]

The idea is to use the tangent line to f(x)=\sqrt x at x=25 in order to approximate f(25.3)=\sqrt{25.3}.

We have

f(x)=\sqrt x\implies f(25)=\sqrt{25}=5

f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}

so the linear approximation to f(x) is

L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92

Hence m=\frac1{10} and b=\frac92.

Then

f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}

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3 years ago
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Zina [86]

Answer:

x=5

Step-by-step explanation:

esa es la respuesta correcta

7 0
3 years ago
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