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stira [4]
3 years ago
8

Please help!!!!! Find the value of the variables

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

x = 24

y = 8√3

Step-by-step explanation:

This is a special right triangle with angle measures 30° 60° 90°

The side length that sees 90° is represented by 2a, the side length that sees angle 60° is represented by a√3 , and the side length that sees angle 30° is represented by a

16√3 ÷ 2 = 8√3 this is the value of y

8√3 × √3 = 24 this is the value of x

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Keith_Richards [23]

Answer:

x=1 .................

6 0
3 years ago
For the lines x=3t, y=1-2t, z=2-3t and x (3, 1, 4) +s(-9, 6, 9) (a) Show that the lines are parallel. (b) Calculate the distance
son4ous [18]

Answer:

Step-by-step explanation:

Given lines in parametric form

line L_1

\frac{x}{3}=\frac{y-1}{-2} =\frac{z-2}{-3}

direction vector of L_1 v_1=

Line L_2

direction vector of L_2 v_2=

therefore

v_2=-3v_1

thus lines are parallel.

(ii)distance between two lines is

L_2 is given by

\frac{x-3}{-9}=\frac{y-1}{6} =\frac{z-4}{9}=s

\frac{x-3}{-3}=\frac{y-1}{2} =\frac{z-4}{3}=3s

\left | \frac{\begin{vmatrix}x_2-x_1 &y_2-y_1 &z_2-z_1 \\ a_1&b_1&c_1 \\ a_2&b_2&c_2\end{vmatrix}}{\sqrt{\left ( a_1b_2-a_2b_1 \right )^2+\left ( b_1c_2-b_2c_1 \right )^2+\left ( c_1a_2-c_2a_1 \right )^2}}\right |

where a_1=3

b_1=-2

c_1=-3

a_2=-9

b_2=6

c_2=9

distance(d)=0 units since value of the matrix

\begin{vmatrix}x_2-x_1 &y_2-y_1 &z_2-z_1\\ a_1&b_1&c_1 \\a_2&b_2 &c_2 \end{vmatrix}

is zero

6 0
3 years ago
10500 people visited an art gallery in 2002.This was an increase of 25% on 2001.How many visitors were there in 2001?​
Alenkasestr [34]
There were (10500/1.25) = 8400 visitors in 2001.


Explanation:
An increase of 25% means multiplying by 1.25. So, if the visitors from 2001 are multiplied by 1.25, then the result is 10500. Thus, the amount from 2001 was 10500/1.25=8400
7 0
3 years ago
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Easy points please help
Paraphin [41]

Answer:

x = 30'

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3x = 90'

Step-by-step explanation:

2x + 3x + x = 180

6x = 180

6x ÷6 = 180 ÷ 6

x = 30'

therefore

2x = 60"

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hope this will helpful....

8 0
2 years ago
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What is the final efficiency of Lily's car in kilometers per liter?
Elena-2011 [213]

Answer:

12.5 km per liter

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To get the kilometer per liter divide km by liters

100/8=12.5

7 0
3 years ago
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