Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet = 
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,
Simplify to get
x=52.595
y=87.207
Distance saved= 
Answer:
100 Cos 40° + 100 Sin 40° ≈ 141 yards
Step-by-step explanation:
From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle
This means that;
Cos 40° = x/100
x = 100 Cos 40°
Sin 40° = y/100
y = 100 Sin 40°
Therefore, total distance walked = x + y
" = 100 Cos 40° + 100 Sin 40° ≈ 141 yards
36: 1,2,3,<span> 4,6,9,12,18,36
48: 1,2,3,4,6,8,12,16,24,48</span>
Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
