Answer: C. Right angle
D. Complementary angle.
Step-by-step explanation:
We know that the measure of a straight angle is 
which represented by a line.
A pair of supplementary angles have their sum equals to which also represented by a line.
But there is not straight line which show measurement.
There is a right angle 
, in which GF is creating a partition.
A pair of supplementary angles have their sum equals to 
which also represented by a right angle.
Thus, 
are complementary angles.
Hence, the type of angles shown : Right angle and Complementary angle.
Answer:
The answer to your question is the letter A. AB = 6√3, sin 30 = √3/2
Step-by-step explanation:
Data
∠C = 60°
hypotenuse = AC = 12
Process
Calculate the length of the sides AB and BC. The calculate these lengths, use trigonometric functions.
a) To calculate AB use sine
sin Ф = AB / AC
-Solve for AB
AB = AC sinФ
-Substitution
AB = 12 sin 60
- Result
AB = 12√3 / 2
AB = 6√3
b) To calculate BC use cosine
cos Ф = BC / AC
-Solve for BC
BC = AC cosФ
-Substitution
BC = 12 (1/2)
-Result
BC = 6
c) Calculate sin 30 and sin 60
sin 30 = √3/2
sin 60 = 1/2
Answer: C. (5, -10)
Step-by-step explanation:
When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.
The new point will be:
(A*x, A*y)
in this case, the point is (3, -6) and the scale factor is (5/3)
Then the new point will be:
(3*(5/3), -6*(5/3)) = (5, -10)
Answer:
The area of the circle is 19.625.
Step-by-step explanation:
- To find the area of a circle, you use the formula A=πr², so you need the radius. The radius is half of the diameter, so half of 5 is 2.5.
- Next, you just plug the numbers into the formula (I used 3.14 for pi). A=(3.14)(2.5²).
- A=(3.14)(6.25)
- A=19.625
- Round to your liking/whatever the question asks for and add the units the question asks for as well. If there aren't any offered in the question, just use units squared if you have to give any.
Question 3:
If the diver is being pulled up at 25 feet every minute, in 10 minutes they would have been pulled up 10 times that
10*25=250
The diver is now 200 feet below, but 10 minutes ago they would have been 250 feet deeper so:
200+250=450
450 feet
