Answer: 15g/mL
Step-by-step explanation:
Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Answer:
Is their a picture so we can see where to put it
Answer:
![\frac{7}{10} y](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%20y)
Step-by-step explanation:
To add fractions <em>with the same denominator</em>, simply add the numerators:
![\frac{a}{b} + \frac{c}{b} = \frac{a+c}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%2B%20%5Cfrac%7Bc%7D%7Bb%7D%20%3D%20%5Cfrac%7Ba%2Bc%7D%7Bb%7D)
So:
![\frac{3}{10} y+\frac{4}{10} y=\frac{7}{10} y](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D%20y%2B%5Cfrac%7B4%7D%7B10%7D%20y%3D%5Cfrac%7B7%7D%7B10%7D%20y)
Answer:
of the mural is sky blue.
Step-by-step explanation:
Let x be the full portion of mural.
Since,
of mural is painted in shades of blue.
Therefore, the blue portion=![\frac{4}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7Dx)
Also, Three eighths of the blue area is sky blue.
Therefore, the portion of the mural is sky blue=![\frac{3}{8}\times\frac{4}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%5Ctimes%5Cfrac%7B4%7D%7B5%7Dx)
The portion of the mural is sky blue=![\frac{12}{40}x](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B40%7Dx)
Simplify, by dividing numerator and denominator by 4, we get
The portion of the mural is sky blue=![\frac{3}{10}x](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7Dx)