Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
If you expand the square, you have
![\dfrac{1}{4}x^2-3x=7x+8-10x](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7Dx%5E2-3x%3D7x%2B8-10x)
Simplify the right hand side:
![\dfrac{1}{4}x^2-3x=-3x+8](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7Dx%5E2-3x%3D-3x%2B8)
Cancel the -3x appearing on both sides:
![\dfrac{1}{4}x^2=8](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7Dx%5E2%3D8)
Multiply both sides by 4:
![x^2=32](https://tex.z-dn.net/?f=x%5E2%3D32)
Consider the square root of both terms (using the doubles sign):
![x=\pm\sqrt{32}=\pm4\sqrt{2}](https://tex.z-dn.net/?f=x%3D%5Cpm%5Csqrt%7B32%7D%3D%5Cpm4%5Csqrt%7B2%7D)
Answer:
8
Step-by-step explanation:
8y-8=24
+8 +8
8y=32
32/8 = 4
y=4
4*2=8
9/10. make the bottom numbers the same to add fractions. you can do that by multiplying 7/10 by 10/10.
70/100 + 20/100 = 90/100
90/100 = 9/10
you can also reduce 20/100 to 2/10.
7/10 + 2/10 = 9/10
Heya!!!
Answer is...
15 numbers have 5 in them....
Numbers are....
5
15
25
35
45
50
51
52
53
54
55
56
57
58
59
HOPE IT HELPS YOU '_'