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4 years ago

Round 716.1079 to the nearest hundredth.

Mathematics

2 answers:

Georgia [21]4 years ago

7 0

Answer:

716.11

Step-by-step explanation:

Round 716.1079 to the nearest hundredth.

Here after the decimal point, 1 is in tenths place

0 is in hundredths place

7 is in thousandths place

9 is in ten thousandths place

Now to round the number to nearest hundredths place, we look at the number in thousandths place.

7 is in thousandths place that is greater than 5. so we add 1 with the number in hundredths place

716.11

Ira Lisetskai [31]4 years ago

4 0

. tenths hundredths

0 is in the hundredths place so look at the 7 it is 5 or greater so round up

716.11

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3 years ago

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°

KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

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b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

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To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

$\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

So, we can use the latter parts to solve this

$\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}$

B = ?

b = 4.0

C = 58°

c = 3.5

$\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}$

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

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