Answer:
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So, you already know that angle CBD is 68 degrees, and the complementary angle to angle CBD is angle CBA. These angles together make 180 degrees because segment DBA is a straight line consisting of angles CBD and CBA. 180-68(the angle you already know) is 112 degrees for angle CBA. Then you repeat this process to find the other angles
Answer:
14 cups
Step-by-step explanation:
1 l = 1000ml
to filled the jug we need 2.8 litres
2.8 l to ml
2.8 × 1000
= 2800ml
how many cup would give us 2800ml
2800 ÷ 200
=14 cups
The length of the brace required is 4.3m
What is sine rule?
In a ΔABC a, b and c are the sides and A, B and C are angles then,
![\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSinA%7D%3D%5Cfrac%7Bb%7D%7BsinB%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D)
We can find the length, l as shown below:
Let AB=3m, BC=2m and AC=l
Let ∠A=25°
So, in ΔABC
![\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BsinA%7D%3D%5Cfrac%7BAB%7D%7BsinC%7D%3D%5Cfrac%7BAC%7D%7BSinB%7D)
![\frac{BC}{sinA}=\frac{AB}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BsinA%7D%3D%5Cfrac%7BAB%7D%7BsinC%7D)
![\frac{2}{sin25}=\frac{3}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bsin25%7D%3D%5Cfrac%7B3%7D%7BsinC%7D)
![\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )](https://tex.z-dn.net/?f=%5Cangle%7BC%7D%3Dsin%5E%7B-1%7D%28%5Cfrac%7B3%5Ctimes%20sin25%7D%7B2%7D%20%29)
∠C=39.34°
∠A+∠B+∠C=180°
∠B=180°-25°-39.34°
∠B=115.66°
![\frac{BC}{sinA}=\frac{AC}{SinB}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BsinA%7D%3D%5Cfrac%7BAC%7D%7BSinB%7D)
![\frac{2}{sin25}=\frac{l}{sin(115.66)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bsin25%7D%3D%5Cfrac%7Bl%7D%7Bsin%28115.66%29%7D)
![l=\frac{2\times sin(115.66)}{sin25}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B2%5Ctimes%20sin%28115.66%29%7D%7Bsin25%7D)
l=4.2659
Rounding to nearest tenth of meter.
l=4.3m
Hence, the length of the brace required is 4.3m
Learn more about Sine Rule here:
brainly.com/question/25852087
#SPJ1
6x² + 48x + 96
6(x² + 8x + 16)
6(x + 4)(x + 4) is your polynomial fully factored so I'm guessing the binomial you're looking for is (x + 4).