$Use\ \cos.\\\\\cos24^o=\dfrac{11}{x}\\\\\cos24^o\approx0.9135\\\\\dfrac{11}{x}\approx0.9135\ \ \ |cross\ multiply\\\\0.9135x\approx11\ \ \ \ |divide\ both\ sides\ by\ 0.9135\\\\x\approx12$

7 0

3 years ago

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates

I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points $(x_1,y_1)$ and $(x_2,y_2)$ in m:n, then the coordinates of that point are

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point G divide the line segment FH in 8:2. Using section formula, we get

$G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)$

$G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)$

$G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)$

$G=\left(4.8,4.4\right)$

Therefore, the coordinates of point G are (4.8, 4.4).

4 0

3 years ago

What kind of questions should you ask during an interview

alexdok [17]

Answer:

depends to who ur talking to

Step-by-step explanation:

have fun in your interview

6 0

3 years ago