Question

Please helpmathematics ​

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.

$BC= {6}^{2}+{7}^{2}$

$BC= 85$

$BC = \sqrt{ 85}$

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

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.

$\large\boxed{Formula: tan(a)= \frac{opp}{adj}}$

Let's substitute the values according to the formula.

$tan \: x= \frac{6}{7}$

We'll have to use tan inverse.

$x= {tan}^{-1}(\frac{6}{7})$

$\boxed{x=40.6°}$