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=
74.3 is greater than 7.43
Answer:
n = P/8.75
Step-by-step explanation:
Jose’s pay (P) depends on the number (n) of hours he works.
P = 8.75n Divide both sides by 8.75
n = P/8.75
=====
P = $61.25
n = 61.25/8.75
n = 7 h
Jose worked for 7 h.
Answer:
x = e^2/2 + 3
Step-by-step explanation:
Solve for x:
log(2 x - 6) = 2
Hint: | Eliminate the logarithm from the left hand side.
Cancel logarithms by taking exp of both sides:
2 x - 6 = e^2
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
2 x = e^2 + 6
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = e^2/2 + 3
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
On comparing both sides, we get
And,
Therefore, the coordinates of point B are (7,-3).