Please help, Calculate the pay for the following day of a

d1i1m1o1n [39]

The values are vx = $\frac{14\sqrt{3} }{\sqrt{2} }$ , vw = $\frac{14\sqrt{3} }{\sqrt{2} }$ and m∠x = 45°, for the given right angle diagram.

Step-by-step explanation:

The given is,

Right angled triangle XVW,

XW = 14 $\sqrt{3}$

m∠V = 90°

m∠W = 45°

Step:1

Given diagram is right angle triangle,

Trigonometric ratios for right angle is,

$sin$ ∅ $=\frac{Opp}{Hyp}$ ............................(1)

$cos$ ∅ $= \frac{Adj}{Hyp}$ .........................(2)

$tan$ ∅ $= \frac{Opp}{Hyp}$ ..........................(3)

Step:2

For the value of VX,

$sin$ ∅ $=\frac{VX}{XW}$

From given,

∅ = 45°

XW = 14 $\sqrt{3}$

Above equation becomes,

$sin$ 45 $=\frac{VX}{14\sqrt{3} }$

Where, Sin 45 = $\frac{1}{\sqrt{2} }$ ,

$\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }$

$VX = \frac{14\sqrt{3} }{\sqrt{2} }$

Step:3

For the value of VW,

$cos$ ∅ $=\frac{VW}{XW}$

From given,

∅ = 45°

XW = 14 $\sqrt{3}$

Above equation becomes,

$cos$ 45 $=\frac{VW}{14\sqrt{3} }$

Where, cos 45 = $\frac{1}{\sqrt{2} }$ ,

$\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }$

$VW = \frac{14\sqrt{3} }{\sqrt{2} }$

Step:4

For the value m∠x = a,

$tan$ a $=\frac{VX}{VW}$

From given,

VX = $\frac{14\sqrt{3} }{\sqrt{2} }$

VW = $\frac{14\sqrt{3} }{\sqrt{2} }$

Above equation becomes,

$tan$ a $=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }$

$tan$ a = 1

a = $tan^{-1}$ (1)

a = 45°

m∠x = a = 45°

Step:5

Check for solution,

m∠v = m∠w + m∠x

= 45° + 45°

90° = 90°

Result:

The values are vx = $\frac{14\sqrt{3} }{\sqrt{2} }$ , vw = $\frac{14\sqrt{3} }{\sqrt{2} }$ and m∠x = 45°, for the given right angle diagram.

5 0

4 years ago

All of the following are correct except 0 32.5+ 2 = 47 32 +5 - 2 = 12 32+5 2 = 28 32.5+ 2 = 6

n200080 [17]

Answer:

D

Step-by-step explanation:

3 × 3 - 5 + 2 = 6

9 - 5 + 2 = 6

4 + 2 = 6

Answer = 32-5+2= 6

please mark as brainlist answer

3 0

3 years ago

On a number line, M is at 0 and N is at 9. What is the coordinate of P, which is 2/3 of the way from M to N

kari74 [83]

The number line M-N is from 0 - 9.

2/3 of the way will be the same as 9 x 2/3

That equals 18/3 which reduces to 6.

6 is the coord 2/3 across the numberline from 0 to 9.

6 0

4 years ago

Choose all the equivalent expressions to

grigory [225]

I think it is E because you use the distributive property

4 0

3 years ago

Read 2 more answers

Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sel

Rashid [163]

Hi Alyssasmith21!
So $55 for each diamond ring and wants to know how many she needs to sell to get $605. OK this is easy what we have to do is 605/55 to find how many rings which is 11. She needs to sell 11 rings to get $605.
Hope this helps!

3 0

3 years ago