Answer:
40/3, 172/3, respectively
Step-by-step explanation:
x + 9 = 2y
2x = 2y + 2
x + 9 = 2(2x - 2)
4x - 4 = x + 9
3x - 13 = 0
x = 13/3
y = 40/6
RT = 13/3 + 9 = 40/3
QS = 160/3 + 4 = 172/3
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
15.49 and 15.48
any number below 15.50 and above 15.45 will round up to 15.5
Answer:
16682.7 cm³
Step-by-step explanation:
The total volume is the volume of the cone plus half the volume of a sphere:
V = ⅓ π r² h + ½ (4/3 π r³)
V = ⅓ π r² h + ⅔ π r³
V = ⅓ π r² (h + 2r)
Given that r = 4.15 cm and h = 10.2 cm:
V = ⅓ π (4.15)² (10.2 + 2×4.15)
V ≈ 333.65
The volume needed for 50 cones is therefore:
50V ≈ 16682.7 cm³
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
<h3>What is a hexagon?</h3>
The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
brainly.com/question/3295271
