Answer:

Step-by-step explanation:
we know that
The value of sine of an angle in a right triangle is equal to the opposite side of the angle divided by the hypotenuse
so

Answer:
3,451 cm³
Step-by-step explanation:
The ball is a sphere.
Formula for finding the volume of a sphere = ⁴/3*πr³
Volume of the 3 balls = 3(⁴/3*πr³)
Where,
radius (r) = ½ of diameter = ½(13) = 6.5 cm
Plug in the values into the formula:
Volume of the 3 balls = 3(⁴/3*π*6.5³)
= 4*π*274.625
= 3,451.03953 ≈ 3,451 cm³
Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
The correct answer is <span>A. Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ.
</span>
Congruent figures are of the same shape and the same size. <span>Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle TꞌꞌUꞌꞌVꞌꞌ will produce similar but not congruent figures because they have different sizes.</span>
Answer:
option b is the correct i mean 10