#1**+2 **

64.

You tangent for 64.

sin 28 = 26 / YX

sin 28 is about 0.27

0.27 = 26/YX

you can solve for YX

GYanggg
Apr 24, 2018

#6**+3 **

It is an equation, 0.27 = 26/YX

you multiply both sides by YX

0.27 * YX = 26

YX is about 96.

GYanggg
Apr 24, 2018

#8**0 **

But that's incorrect...YX is 55.4 mm and YZ is 48.9 mm

I just need to figure out how to get those answers

RainbowPanda
Apr 24, 2018

#3**+3 **

To solve YZ, you use tangent.

Tangent is opposite over adjacent.

Tan 28 = 26/ YZ

you can solve for YZ

GYanggg
Apr 24, 2018

#9**+2 **

Sin(28) = 26 / YX

0.46947... = 26 / YX cross multiply

0.46947*YX = 26 divide both sides by 0.46947

YX = 26 / 0.46947

**YX =~55.4 mm**

Tan(28) = 26 / YZ

0.531709 = 26 / YZ Cross multiply

0.531709*YZ = 26 Divide both sides by 0.531709

YZ = 26 / 0.531709

**YZ =~48.9 mm**

Guest Apr 24, 2018

#11**+1 **

63)

(x + 2)^2 + y^2 =25.......................(1)

-x + y = 1.......................................(2)

y =1 + x sub this into (1)

(x + 2)^2 + (1 + x)^2 = 25, solve for x

(x + 1)^2 + (x + 2)^2 = 25

Expand out terms of the left hand side:

2 x^2 + 6 x + 5 = 25

Divide both sides by 2:

x^2 + 3 x + 5/2 = 25/2

Subtract 5/2 from both sides:

x^2 + 3 x = 10

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 49/4

Write the left hand side as a square:

(x + 3/2)^2 = 49/4

Take the square root of both sides:

x + 3/2 = 7/2 or x + 3/2 = -7/2

Subtract 3/2 from both sides:

x = 2 or x + 3/2 = -7/2

Subtract 3/2 from both sides:

**x = 2 and y = 3 or x = -5 and y = - 4**

Guest Apr 24, 2018