Answer:
solution :
in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.
now ,
in rt angle tirangle ADC,
angleACD=45 degree, angle DAC=45 degree now,
in triangle ABD,
angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)
angle BAD+75+30=180
angle BAD=180-165 therefore,angle BAD=15
angle BAC =15+45=60
Area of triangle ABC=1/2×AB×AC×SIN 60
=1/2×10.2×14×√3/2
=61.83cm³ ans
Find the circumference and multiply it by 3.
C = pi * d
C = 3.14 * 21
C = 65.94
So it travels 65.94 inches in 1 revolution.
65.94 * 3 = 197.82
So it travels 197.82 inches in 3 revolutions.
Answer: 0.267
Step-by-step explanation:
The relative frequency is the number of times that we obtained a given outcome divided by the total numer of trials.
In this case we have 75 trials.
in 20 trials the outcome was a 3.
Then the relative frequency of the event "spin a 3" is:
p = 20/75 = 0.266... = 0.267
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
Answer:
x<-3 or x>-1
Step by step explanation:
Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.