Answer:
8.5 units
Step-by-step explanation:
The distance between two points is given by

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then


d=8.48528137423857 units
Rounded off to nearest tenths
d=8.5 units
Answer:
41.8887 cm^2
Step-by-step explanation:
area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94
120 / 360 = 1/3
153.94 / 3 = 51.3134
now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247
subtract
51.3134 - 9.4247 = 41.8887
96
Step-by-step explanation:
I think lol
An irrational number is one with a fraction.
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem

substitute the given values



simplify

step 2
In the right triangle ACD
Find the cosine of angle CAD

substitute the given values

----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC

substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross


step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem

substitute the given values



simplify
