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3 years ago

485.8 divided by 48 estimate

Mathematics

2 answers:

Naya [18.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Ipatiy [6.2K]3 years ago

3 0

Answer:

10.12

Step-by-step explanation:

You get 10.12 because when you divide 458.8 by 48 you get 1 because 48 goes into 48 1 time then 48 goes into 5 0 times so that is where the 10 comes from then you move the decimal and 48 goes into 58 1 time so that is where you get the 10.1 from

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3 years ago

-4/5+7/12 simplify the expression

miss Akunina [59]

Answer:

$\frac{-13}{60}$

Step-by-step explanation:

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And please help: brainly.com/question/22129776

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3 years ago

△klm, lm=20 sqrt 3 m∠k=105°, m∠m=30° find: kl and km

Anarel [89]

Answer:

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

MK = $\frac{40\sqrt{3}}{1+\sqrt{3}}$ = 25.36

Explanation:

According to the Law of Sines:

$\frac{a}{sinA}=\frac{b}{sinB}= \frac{c}{sinC}$

where:

A, B, and C are angles

a, b, and c are the sides opposite to the angles

First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore

m∠K + m∠L + m∠M = 180°

m∠L = 180° - m∠K - m∠M

m∠L = 180° - 105° - 30°

m∠L = 45°

Now, we can apply the Law of Sines to our case (see picture attached):

$\frac{LM}{sinK}=\frac{MK}{sinL}=\frac{KL}{sinM}$

Let's solve one side at the time:

$\frac{LM}{sinK}=\frac{MK}{sinL}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{MK}{sin(45)}$

$MK = \frac{20\sqrt{3} }{sin(105)} \cdot sin(45)$

MK = $\frac{40\sqrt{3} }{1+\sqrt{3} }$ = 25.36

Similarily:

$\frac{LM}{sinK}=\frac{KL}{sinM}$

$\frac{20\sqrt{3}}{sin(105)}=\frac{KL}{sin(30)}$

$KL = \frac{20\sqrt{3} }{sin(105)} \cdot sin(30)$

KL = $\frac{20\sqrt{6}}{1+\sqrt{3}}$ = 17.93

8 0

3 years ago