Answer:
Step-by-step explanation:
We are given two sides, the adjacent and the opposite, and the angle of 60*
Using this information, we can refer to the acronym:
SOH CAH TOA
For this question, we will be using the Tangent equation
Tan(60*) = 12/x
Using a calculator, Tan (60*) = sqrt 3
Then cross-multiply
Therefore the answer is: x = 4
Answer:
The measure that can be determined when given the volume and the height is the radius
How to find the measure in the procedure
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
where
r is the radius of the base of the cylinder
h is the height of the cylinder
V is the volume of the cylinder
The measure that can be determined when given the volume and the height is the radius
<em>Steps to find the measure of r</em>
we have
Divide by (pi h) both sides
square root both sides
substitute the given values of V and h in the formula to calculate the radius r
Answer:
The triangles are indeed congruent I know this because if you look at the lines on each side of the triangle they're the same. Another way I know it because They're both right angles. So, if you put them side by side they would be identical.
Answer:
less than a minute
Step-by-step explanation:
Answer:
75 cm^2
Step-by-step explanation:
We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.
For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.
The area of the small triangle is 1/16 the area of the large triangle.
area of small triangle = (area of large triangle) * (area scale factor)
area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16
area of small triangle = (1200 cm^2)/16 = 75 cm^2