*see attachement for diagram
Answer:
40.4 ft
Step-by-step explanation:
Let the part that broke away be represented as "x"
Thus, the digram makes a right triangle shape.
The closest total length of tree before the storm = x + 14 ft
Apply trigonometric function to find x.
Reference angle = 58°
Side adjacent to reference angle = 14 ft
Hypotenuse = x
Apply CAH, which is:
Cos 58 = adj/hyp
Cos 58 = 14/x
x * Cos 58 = 14
x = 14/Cos 58
x = 26.4191188 ≈ 26.4 ft
✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft
Answer:
Diameter of the smaller coin = 2.46 cm
Step-by-step explanation:
Circumference of a coin = 2πr
Circumference of coin A = 8.03 cm
Circumference of coin B = 8.03 cm - 0.33 cm
A.) what is the first step to find the diameter of the smaller coin?
Find the circumference of coin B
Circumference of coin B = 8.03 cm - 0.33 cm
= 7.7 cm
B.) Find the diameter of the smaller coin.
Circumference of a coin = 2πr
7.7 = 2 × 3.14 * r
7.7 = 6.28r
r = 7.7 / 6.28
r = 1.23 cm
Diameter = 2r
= 2 * 1.23 cm
= 2.46 cm
Diameter of the smaller coin = 2.46 cm
Part A: They are 2 1/4 inches apart on the map.
Part B: They are 13 miles apart.
Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
