Mathematics: Evaluate: 3(2x + z) when x = 8 and z = 2

Evaluate: 3(2x + z) when x = 8 and z = 2 - id328215262550, monkemily1

makenziehook8

07.02.2022

$\huge\boxed{\mathcal{HELLO!:)}}$

First of all, let's use the Distributive Property and distribute 3:

$\rm{3(2x+z)$

$\rm{6x+3z$

Now, plug in the values of x and z:

$\rm{6(8)+3(2)$

Multiply:

48+6

Add:

$\huge\boxed{\boxed{\maltese\pmb{54}}}$

Hope it helps! Enjoy your day!

~Just a determined gal

$\bf{erutaNtneliS$

0,0(0 оценок)

ticklepink05

05.05.2021

Your sister is not correct. You can determine how far the overhang should extend by dividing 8 by $tan(70\°)$

Step-by-step explanation:

The complete exercise is attached.

Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).

Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.

You need to use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can notice that, in this case:

$\alpha =70\°\\\\opposite=8\ ft\\\\adjacent=CB$

Knowing these values you can substitute them into $tan\alpha =\frac{opposite}{adjacent}$ and then solve for "CB" in orde to find its value.

You get:

$tan(70\°)=\frac{8}{CB}\\\\CB*tan(70\°)=8\\\\CB=\frac{8}{tan(70\°)}\\\\CB=2.91$

Therefore, your sisteter is not correct.

0,0(0 оценок)