Answer:
27 fl oz.
Step-by-step explanation:
Answer:
16.5
Step-by-step explanation:
The values are vx =
, vw =
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}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
m∠V = 90°
m∠W = 45°
Step:1
Given diagram is right angle triangle,
Trigonometric ratios for right angle is,
∅
............................(1)
∅
.........................(2)
∅
..........................(3)
Step:2
For the value of VX,
∅ ![=\frac{VX}{XW}](https://tex.z-dn.net/?f=%3D%5Cfrac%7BVX%7D%7BXW%7D)
From given,
∅ = 45°
XW = 14![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Above equation becomes,
45 ![=\frac{VX}{14\sqrt{3} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7BVX%7D%7B14%5Csqrt%7B3%7D%20%7D)
Where, Sin 45 =
,
![VX = \frac{14\sqrt{3} }{\sqrt{2} }](https://tex.z-dn.net/?f=VX%20%3D%20%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D)
Step:3
For the value of VW,
∅ ![=\frac{VW}{XW}](https://tex.z-dn.net/?f=%3D%5Cfrac%7BVW%7D%7BXW%7D)
From given,
∅ = 45°
XW = 14![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Above equation becomes,
45 ![=\frac{VW}{14\sqrt{3} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7BVW%7D%7B14%5Csqrt%7B3%7D%20%7D)
Where, cos 45 =
,
![VW = \frac{14\sqrt{3} }{\sqrt{2} }](https://tex.z-dn.net/?f=VW%20%3D%20%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D)
Step:4
For the value m∠x = a,
a ![=\frac{VX}{VW}](https://tex.z-dn.net/?f=%3D%5Cfrac%7BVX%7D%7BVW%7D)
From given,
VX = ![\frac{14\sqrt{3} }{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D)
VW = ![\frac{14\sqrt{3} }{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D)
Above equation becomes,
a ![=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D%20%7D%20%20%20%20%20%20%20%20%20%20%20%7B%5Cfrac%7B14%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B2%7D%20%7D%20%7D)
a = 1
a =
(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 =
, vw =
and m∠x = 45°, for the given right angle diagram.
Answer:
$88.93
Step-by-step explanation:
78 * 1.1401 = $88.93
Answer:
4 over 5
Step-by-step explanation:
its 4 over 5 because your going to get a decimal and the other answers you will get a integer which the question isnt asking for so the answer is 4 over 5