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brilliants [131]

3 years ago

12

A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 0) and your house is located at (

3, -2). What is the distance, to the nearest unit, between your house and the subway stop?

1 answer:

mars1129 [50]3 years ago

5 0

4.47 to the nearest unit would be 4

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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

Rainbow [258]

Answer:

$\sin L = 0.60$

$tan\ N = 1.33$

$\cos L = 0.80$

$\sin N = 0.80$

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

$MN = 6$

$LN = 10$

First, we need to calculate length LM,

Using Pythagoras theorem:

$LN^2 = MN^2 + LM^2$

$10^2 = 6^2 + LM^2$

$100 = 36 + LM^2$

Collect Like Terms

$LM^2 = 100 - 36$

$LM^2 = 64$

$LM = 8$

Solving (a): $\sin L$

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

$\sin L = \frac{MN}{LN}$

Substitute values for MN and LN

$\sin L = \frac{6}{10}$

$\sin L = 0.60$

Solving (b): $tan\ N$

$tan\ N = \frac{Opposite}{Adjacent}$

$tan\ N = \frac{LM}{MN}$

Substitute values for LM and MN

$tan\ N = \frac{8}{6}$

$tan\ N = 1.33$

Solving (c): $\cos L$

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

Substitute values for LN and LM

$\cos L = \frac{8}{10}$

$\cos L = 0.80$

Solving (d): $\sin N$

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

$\sin N = \frac{LM}{LN}$

Substitute values for LM and LN

$\sin N = \frac{8}{10}$

$\sin N = 0.80$

7 0

3 years ago

Yale is working out 2 hours in a gym. If he spends 21 minutes on stretching and 45 minutes of Jogging. What percentage of time d

MArishka [77]

54% of the time. 21 and 45 is 66. Two hours is 120. The you subtract

6 0

3 years ago

Identify the equation in standard form of the line that passes through the point (6,−8) and has the slope of −2 .

Arturiano [62]

Answer:

y = -2x + 4

Step-by-step explanation:

y = -2x + b

-8 = -2(6) + b

-8 = -12 + b

4 = b

6 0

3 years ago

A scientist had 3/4 liter of solution. HE used 1/6 of the solution for an experiment..How much solution did the scientist use fo

Leviafan [203]

Answer:

$\frac{1}{8}\ liter$

Step-by-step explanation:

we know that

To find out how much solution the scientist used for the experiment multiply 3/4 by 1/6

so

$(\frac{3}{4})(\frac{1}{6})=\frac{3}{24}\ liter$

simplify

$\frac{3}{24}=\frac{1}{8}\ liter$

8 0

3 years ago

In a survey, a group of students were asked to name their favorite day of the week. There were 8 students who chose “other”.

lara [203]

5 % of the students choose other. 95% choose either Saturday or Sunday.
Let x be the number of students who participated.

(5/100) * x = 8 Multiply both sides by 100
5 * x = 8*100
5*x = 800 Divide by 5
x = 800/5
x = 160 students participated in the survey <<<<< Answer

6 0

3 years ago