Answer:
b=-11
Step-by-step explanation:
I assume you are looking to solve for the value of b.
<u>3(b+2)</u> x <u>2</u>= <u>4b-10</u>
2 2 4
<u>6(b+2)</u> = <u>4b-10</u>
4 4
x 4 x4
6(b+2) = 4b-10
6b+12=4b-10
-4b -4b
2b+12=-10
-12 -12
<u>2b</u>=<u>-22</u>
2 2
b=-11
Answer:
17.4 cm²
Step-by-step explanation:
base = 3x2.6x0.5 = 3.9 cm²
3 sides = 3(3)(3)(0.5) = 13.5 cm²
13.5 + 3.9 = 17.4 cm²
Completing the square goes back to pythagorean thm
but the way u do it, u want to find a value that enable u to take sqrt of both sides and solve
x^2-8x+3=0
x^2-8x=-3
we need (x-4)^2 so add 16
(x-4)^2=-3+16
(x-4)^2=13
x-4=sqrt13
x=4(+/-)sqrt13
Answer:
55%
Step-by-step explanation:
Express the ratio in fractional form, that is
11 : 20 = ![\frac{11}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B20%7D)
To convert the fraction to a percentage , multiply by 100%
=
× 100% ( cancel 20 and 100 by 20 )
= 11 × 5 %
= 55%
Answer:
x = 5.7 units
Step-by-step explanation:
By applying Sine rule is the triangle XYZ,
![\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSinX%7D%7D%7B%5Ctext%7BWY%7D%7D%3D%5Cfrac%7B%5Ctext%7BSinY%7D%7D%7B%5Ctext%7BWX%7D%7D%3D%5Cfrac%7B%5Ctext%7BSinW%7D%7D%7B%5Ctext%7BXY%7D%7D)
![\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSinX%7D%7D%7B%5Ctext%7Bx%7D%7D%3D%5Cfrac%7B%5Ctext%7BSinY%7D%7D%7B%5Ctext%7By%7D%7D%3D%5Cfrac%7B%5Ctext%7BSinW%7D%7D%7B%5Ctext%7B10%7D%7D)
![\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin33%7D%7D%7B%5Ctext%7Bx%7D%7D%3D%5Cfrac%7B%5Ctext%7BSinY%7D%7D%7B%5Ctext%7By%7D%7D%3D%5Cfrac%7B%5Ctext%7BSin107%7D%7D%7B%5Ctext%7B10%7D%7D)
![\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin33%7D%7D%7B%5Ctext%7Bx%7D%7D%3D%5Cfrac%7B%5Ctext%7BSin107%7D%7D%7B%5Ctext%7B10%7D%7D)
![x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Ctimes%28%5Ctext%7BSin33%7D%29%7D%7B%5Ctext%7B%28Sin107%29%7D%7D)
x = 5.69
x ≈ 5.7 units