To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
B
Hope this helped I only did like 1 lesson on functions
Answer:
∠DFE=119°
Step-by-step explanation:
step 1
Find the measure of angle BFD
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
∠BFD=(1/2)[arc BD+arc CE]
substitute the given values
∠BFD=(1/2)[38°+84°]
∠BFD=61°
step 2
Find the measure of angle DFE
we know that
∠BFD+∠DFE=180° -----> linear pair (supplementary angles)
substitute
61°+∠DFE=180°
∠DFE=180°-61°=119°
