Question

Please help
mathematics ​

Answer 1

1)

=9.22 cm

2)

=40.6°

hope this helps

Answer 2

Given:

• Trapezium

To find:

• Length of BC
• Value of "x"

Solution:

We can divide the given shape into a triangle and a rectangle.

We'll have to use Pythagoras Theorem.

`\large\boxed{Formula:{a}^(2)={b}^(2)+{c}^(2)}`

In this question we have to find the hypotenuse so we'll have to add.

Let's substitute the values according to the formula.

`BC= {6}^(2)+{7}^(2)`

`BC= 85`

`BC = √( 85)`

`\boxed{BC=9.22 \: cm}`

Now, we can find the value of "x"

• Adjacent= 7 cm
• Opposite= 6 cm
• Hypotenuse= 9.22 cm

We can use any one from SOHCAHTOA.

Here I'm using tan.

`\large\boxed{Formula: tan(a)= (opp)/(adj)}`

Let's substitute the values according to the formula.

`tan \: x= (6)/(7)`

We'll have to use tan inverse.

`x= {tan}^(-1)((6)/(7))`

`\boxed{x=40.6°}`