*note: for this problem you have to round a few values. I rounded to 2 decimal places, but your answer could be different if you have to round to more/less than 2 decimal places
Answer: Diameter = 8 millimeters
Buttons are circles, so we will use the formula for area of a circle:
A = πr^2
We are solving for the diameter, which is 2 times the radius:
d = 2r
So now we plug in what we know.
The area A = 50.24 square millimeters, therefore we plug it in and simplify:
50.24 square millimeters = πr^2
50.24/π = r^2
15.99 = r^2
squareroot(15.99) = r
r = 4 millimeters
Now we use the radius to calculate the diameter.
r = 4 millimeters
d = 2r
d = 2(4)
diameter = 8 millimeters
Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
<h3>What are
similar triangles?</h3>
Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.
triangle FBT is similar to triangle ADQ with a scale factor of 5/3.
AD = 9; BF = 9 * 5/3 = 15
DQ = 6; BT = 6 * 5/3 = 10
FT = 21; AQ = 21 * 3/5 = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
Find out more on similar triangles at: brainly.com/question/2644832
Answer:
-2.0000 times -2.000 = 4
Step-by-step explanation:
9514 1404 393
Answer:
{(0, −5), (2, 9), (−3, −26)}
Step-by-step explanation:
You only need to try the first point in each set to eliminate the wrong answers.
a: 7(-5)-5 = -40 ≠ 0
b: 7(2)-5 = 9 ≠ 7
c: 7(0)-5 = -5 . . . matches given point
d: 7(1)-5 = 2 ≠ 3
The third choice is the correct one: {(0, −5), (2, 9), (−3, −26)}.
Heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3
