Answer:
cosA = ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
Step-by-step explanation:
cosA =
=
= ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
- Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;
- Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.
So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus
![\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE](https://tex.z-dn.net/?f=%5Cdfrac%7BBD%7D%7BBC%7D%3D%5Cdfrac%7BDA%7D%7BCE%7D%3D%5Cdfrac%7BAB%7D%7BBE%7D%5CRightarrow%20BE%5Ccdot%20DA%3DAB%5Ccdot%20CE)
Hey there,
By rounding 287.9412 to the nearest tenth, We look at the number in the tenth place which is 9. And by also looking at the number in the ones place which would be 4,we would round that back down to 0 because 4 is lower than 5 and what ever is lower, Go's down.
Your correct answer: 287.9
~Jurgen
When it gets to zero or the intercept
factor
x=4(t^2-8t+9)
x=(4)(t-9)(t+1)
set to zero
t-9=0
t=9
t+1=0
t=-1, false, time cannot be negative
at t=9 seconds
Given that the maximum speed the cheetah can run is 70 mph, then:
distance traveled will be:
distance=speed×time
speed= 70 mph
=(70)/(60)=7/6 mile per minute
time=t min
distance=7/6t miles
b] Given that t=10, then the distance covered in 10 minutes will be:
distance=7/6(10)=11 2/3 miles
c] The cheetah's average round trip will be given by:
average rate=(70+40)/2=110/2=55 mph
The average rate can be said to be 55 mph.