Answer:
option (a) ; 5 meters and 22 meters has the closest and reasonable approximation for the diameter and circumference of a circle.
Step-by-step explanation:
The circumference of a circle is given by the relation :
Circumference C = πd
Given that :
the diameter and circumference of a circle are as follows:
(a) 5 meters and 22 meters
(b) 19 inches and 50 inches
(c) 33 centimeters and 80 centimeters
We are meant to deduce the entity with the closest approximation.
a) 5 meters and 22 meters
Circumference C = πd
C = π × 5
C = 3.14 × 5
C = 15.7 meters
b) 19 inches and 50 inches
Circumference C = πd
C = π × 19
C = 3.14 × 19
C = 59.66 inches
c) 33 centimeters and 80 centimeters
Circumference C = πd
C = π × 33
C = 3.14 × 33
C = 103.62 centimeters
From the above calculations ; it is clear and obvious that the first option i.e option (a) which is 5 meters and 22 meters Has the closest and reasonable approximation for the diameter and circumference of a circle
Answer:
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.
Difference in y:
-20 - 10 = -30
7 + 3 = 10
7/10 * (-30) = -21
Add -21 to 10:
10 + (-21) = -11
The y-coordinate is -11.
You have to use Trigonometric ratios here. I'll help you with a question, and you try to do the other two.
a. You are given the hypotenuse, and told to figure out the opposite. The trigonometric function that deals with that is sin(x), which is opposite over hypotenuse. So:
Solve for y:
Simplify:
For these problems, you have to remember the ratios Sine, Cosine, and Tangent. An easy way is to make a mnemonic device. A good one that a lot of people use is SohCahToa. Which is Sine (Opposite, Hypotenuse), Cosine (Adjacent, Hypotenuse) and Tangent (Opposite, Adjacent). Remember trigonometry is just a glorified field of ratios of sides to angles. There are many more trigonometric ratios including inverse trigonometric ratios, reciprocal trigonometric ratios, and hyperbolic trigonometric ratios (which show up during differential calculus). But for now, focus on this. Haha.
Answer:
Measure of angle A = 55°.
Step-by-step explanation:
From the picture attached,
2 = 2
Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.
Therefore, ΔACB ~ ΔNLM.
m∠A = 180° - (90° + 35°) [By triangle sum theorem]
= 180° - 125°
= 55°
Measure of angle A is 55°.