Answer:
A
Step-by-step explanation:
The angle adjacent to 133 and 133 form a straight angle and are supplementary, hence
adjacent angle = 180° - 133° = 47°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles. The angle 90 is an exterior angle, thus
p + 47 = 90 ( subtract 47 from both sides )
p = 43° → A
Answer:
Given: Point C is the center of circle.
To Find: ∠ A CB
Solution: Measure of arc A DB=312°
Angle made by complete circle=360°
⇒∠A DB + ∠ AC B= 360°[Total measure of complete circle]
⇒ 312° + ∠ AC B= 360°
⇒∠ AC B = 360° - 312°
⇒ ∠ AC B=48°
Answer:

Step-by-step explanation:
Acceleration is second derivative of distance and are related as:

Integrating both sides w.r.to t

Using initial value

We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)
Answer:
r=3
Step-by-step explanation:
3(r - 7) = 4(2 - 2r) + 4
Distribute
3r -21 = 8 -8r +4
Combine like terms
3r -21 = 12 -8r
Add 8r to each side
3r +8r-21 = 12 -8r+8r
11r -21 = 12
Add 21 to each side
11r -21+21 =12+21
11r = 33
Divide each side by 11
11r/11 = 33/11
r = 3