Given the right triangle below, what are the values of cosU and cscU?​

d= radical 128

h= 3.46

Step-by-step explanation:

d: pythagorean theorem (8^2+8^2=c^2)

h: tan30= x/6

[tex]C=5\sqrt{3}[/tex]

[tex]d=4\sqrt(2)[/tex]

Step-by-step explanation:

For the fist triangle:

Hypotenuse is 5*2=10 because 5 is opposite lin of 30 degrees.

C^2=10^2-5^2=100-75

C=5\sqrt{3}

2nd triangle:

We have two angles of 45deegres so it is:

d^2+d^2=8^2

2d^2=64

d^2=32

d=4\sqrt(2)

[tex]d=\sqrt{3}[/tex]

[tex]h=7\sqrt{2}[/tex]

Step-by-step explanation:

Use the 45°-45°-90° and 30°-60°-90° rules for right triangles:

45°-45°-90°

[tex]hypotenuse=\sqrt{2}*leg[/tex]

30°-60°-90°

[tex]longer.leg=\sqrt{3}*shorter.leg[/tex]

Solve for the first triangle: Insert values into the equation

[tex]3=\sqrt{3}*d[/tex]

Solve for d: Divide both sides by [tex]\sqrt{3}[/tex]

[tex]\frac{3}{\sqrt{3} }=\frac{\sqrt{3} }{\sqrt{3} } *d\\\\\frac{3}{\sqrt{3} }=d[/tex]

Rationalize and simplify

[tex]\frac{\sqrt{3} }{\sqrt{3} } *\frac{3}{\sqrt{3} }=d\\ \\\frac{3\sqrt{3} }{\sqrt{3}\sqrt{3} } =d\\\\\frac{3\sqrt{3} }{\sqrt{9} }=d\\\\\frac{3\sqrt{3} }{3}=d\\\\\sqrt{3}=d[/tex]

Solve for second triangle: Insert values into the equation

[tex]h=\sqrt{2}*7[/tex]

Simplify

[tex]h=7\sqrt{2}[/tex]

Done.

D, 5/13

Step-by-step explanation:

The cosine of an angle is the adjacent side over the hypotenuse. In this case, that is 5/13. Hope this helps!

Step-by-step explanation:

[tex]x = 112 \degree + (180\degree - 146\degree) \\ \: \: \: \: = 112 \degree + 34\degree \\ \: \: \: \: = 146 \degree[/tex]

Step-by-step explanation:

Looking at the triangle, to determine x, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

x/Sin60 = 14/Sin45

Cross multiplying, it becomes

x × Sin 45 = 14 × Sin 60

x × 0.7071 = 14 × 0.8660

0.7071x = 12.124

Dividing the left hand side and the right hand side of the equation by 0.7071, it becomes

0.7071x/0.7071 = 12.124/0.7071

x = 17.15

X= 146 degree

Step-by-step explanation:

exterior angle =the sum of interior opposite angles

one of the opposite angles is 112 degree

the other is 180- 146 = 34.

So x = 112+34 =146

Sorry, it’s upside down, if u don’t understand what I did, I can explain further.
[tex]10 points! in the triangle below, what is the value of x? show your work.[/tex]

Sorry, it’s upside down, if u don’t understand what I did, I can explain further.
[tex]10 points! in the triangle below, what is the value of x? show your work.[/tex]