Yes they just have the same amount of decimal points
Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
- base = 2 units
- height = 3.7 units
- hypotenuse = x units
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
Answer:
the company must buy 22 gallons to paint this entire area
Step-by-step explanation:
The circumference of the tank is given and is C = 2(pi)r, where r is the area.
118 ft
Here the circumference is C = 2(pi)(r) = 118 ft, which leads to r = ------------ ≈
18.79 ft ≈ r 2(pi)
The area of the sides is A = (circumference)(height), or approximately
(118 ft)(50 ft) = 5900 ft², and the area of the top is A = πr², which here comes to (π)(18.79 ft)² ≈ 1109 ft². Combining these two sub-areas, we get:
A(total) = 1109 ft² + 5900 ft² ≈ 7009 ft²
To determine how many gallons of paint will be needed to paint only the top and sides, we divide 7009 ft² by the coverage rate, which is
320 ft²
-----------
1 gallon
which results in:
7009 ft²
---------------------- ≈ 21.9 gallons
320 ft² / gallon
Since the paint comes only in full gallon cans, the company must buy 22 gallons to paint this entire area.
Triangle CED = 47°
Triangle BEC = 28°
360 - 28 - 47 - 112 = 173
The answer = 173°
