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3 years ago

Graph f(x) = -|x-3| - 6

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

Answer:

Step-by-step explanation:

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△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

Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures

Dafna11 [192]

Answer:

american sign language (ASL)

4 0

3 years ago

A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the a

nevsk [136]

Answer:

angle of depression = 59.04 degrees

Step-by-step explanation:

tangent X = 30/50

tangent X = 0.6

x = 30.96 degrees

90-30.96 = 50.04 degrees

3 0

3 years ago

Read 2 more answers

The mean of the scores obtained by a class of students on a physics test is 42. The standard deviation is 8%. Students have to s

NemiM [27]

The correct answer is:
16%.

Explanation: 
We use a z-score to answer this question.
The formula for a z-score is:
z= $\frac{x-mue}{sigma}$ ,
where mue is the mean and sigma is the standard deviation.

Using our information, we have:
z= $\frac{50-42}{8} = \frac{8}{8} = 1$ .

Using a z-table, we see that the area to the left of, or less than, this score is 0.8413. We want to know how many students scored more than this, so we subtract from 1:
1-0.8413=0.1587, which rounds to 16%.

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3 years ago

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What temperature is twenty degrees lower than nine degrees Celsius

White raven [17]

9-20= -11 degrees celsius

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3 years ago