Answer:
∠O = 95°
Step-by-step explanation:
since ∠Q = 85°, arc NOP = 2(85°) = 170°
arc PQN = 360° - arc NOP
arc PQN = 360° - 170° = 190°
∠O = 1/2(arc PQN) = 1/2(190°) = 95°
Answer:
She has walked <u>7233.6 ft</u>
Step-by-step explanation:
13.7 miles ÷ 10 = 1.37 miles
1 mile = 5280 ft
5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)
Answer:
1. 30
2. 150
Step-by-step explanation:

Lets assume tan(x) = u

Now we solve for 'u'
add 1 on both sides
, divide both sides by 3

Take square root on both sides

We replace tan(x) for 'u'
x = 30 because
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because
in second quadrant
tan is negative in second quadrant
divide food money by income:
468 /2600 = 0.18 = 18%
Answer:

Step-by-step explanation:
Given:


Required:
LCM of the polynomials
SOLUTION:
Step 1: Factorise each polynomial








Step 2: find the product of each factor that is common in both polynomials.
We have the following,

The common factors would be: =>
(this is common in both polynomials, so we would take just one of them as a factor.
and,

Their product = 