Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)? The angle is 21 degrees.
This is a perfect application of the tangent function:
tan 21 deg = opp / adj = opp / 22 = x / 22
tan 21 deg = 0.384 so x would be 22 tan 21 deg, or
x = 22*(0.384)
= 8.45 (answer)
Answer:
Answer options
A. Two cities that are 7.5 cm apart on the map are actually 50 km apart.
D. Two cities that are actually 66 km apart are 9.9 cm apart on the map.
Step-by-step explanation:
Step 1
Indicate the scale as shown;
3 cm : 20 km, meaning 3 cm on the map represents 20 km on the ground
A). what does 7.5 cm represent on the ground
Distance on ground=(7.5×20)/3=50 km
B). what does 4 cm represent on the ground
Distance on ground=(4×20)/3=26.67 km
C). what does 45 km on ground represent on the map
Distance on map=(45×3)/20=6.75 cm
D). what does 66 km on ground represent on the map
Distance on the map=(66×3)/20=9.9 cm
9.) Answer: B. f(x) = 4 - x
Explanation/Proof:
If we substitute, the answers are correct.
f(x) = 4 - (1)
f(x) = 3 ✅
f(x) = 4 - (2)
f(x) = 2 ✅
And so on and so forth.
Answer:
I think no A. x = -1/2 ,x = -4
