Use the distance formula: d² = (x₂ - x₁)² + (y₂ - y₁)²
d² = 50² + 80²
= 2500 + 6400
= 8900
d = √8900
= 94.3
Answer: 94.3 km
Answer:
160 pounds of sand.
Step-by-step explanation:
Answer:
The graph is shifted 1 unit right
The graph is shifted 2 units down
Step-by-step explanation:
We are given
Parent function as

New function as

we can also write as

We can see that
1 is subtracted to x-value
and 2 is added to y-value
So, f(x) is shifted right by 1 unit
and
f(x) is shifted up by 2 unit
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
Answer:
y
Step-by-step explanation: