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4 years ago

Drag the numbers to the boxes to order them from least to greatest value.

Mathematics

1 answer:

attashe74 [19]4 years ago

3 0

Hello!

First you have to convert them all into numbers

2 = 2
47/14 = 3.35
sqrt of 5 = 2.23
0.9 = 0.9
0 = 0

Now you list them from least to greatest

The answer is $0, 0.9, 2, \sqrt{5} , \frac{47}{14}$

Hope this helps!

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Which measures are accurate regarding triangle JKL? Check all that apply.

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Answer:

Option (1), (3) and (6) is correct.

m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.

Step-by-step explanation:

Given : ∠J = 58° , ∠L = 38° and length of side JK = 2.3 units.

We need to check all the options and choose that follows.

First we find the measure of ∠K

Using angle sum property , Sum of angles of a triangle is 180°

⇒ ∠J + ∠k + ∠L = 180°

⇒ 58° + ∠k + 38° = 180°

⇒ ∠k + 96° = 180°

⇒ ∠k = 180° - 96°

⇒ ∠k = 84°

Also using sine rule on ΔJKL , we get,

$\frac{KL}{\sin J}=\frac{JL}{\sin K}=\frac{JK}{\sin L}$

Substitute the values, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

Consider the last two ratios, we have,

$\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${k}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 84^{\circ}}$

On solving we get,

${k}=3.71$

Also, now consider the first and last ratio, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${KL}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 58^{\circ}$

${KL}=3.16$

Thus, k ≈ 3.7 units and KL ≈ 3.2 units.

Option (1), (3) and (6) is correct.

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