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3 years ago

The number 943 is between what two tens

Mathematics

2 answers:

spayn [35]3 years ago

7 0

Answer:

943 is between 94 tens and 95 tens

Step-by-step explanation:

The number 943 is between what two tens

Lets round the number 943 to nearest tens to the left and then to the right.

When we round the number 943 to the nearest tens to the left, it becomes 940. 940 can be written as 94 tens

When we round the number 943 to the nearest tens to the right, it becomes 950. 950 can be written as 95 tens

So 943 is between 94 tens and 95 tens

kakasveta [241]3 years ago

3 0

It is between 940 and 930

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Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

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3 years ago