Answer:
Increases, same, increases, decreases
Step-by-step explanation:
I mean just look at the graph
Answer:
12.6
Step-by-step explanation:
Circumference is πd. So...
(3.14*4)
12.56
12.6
Hope this helps and have a nice day ~(^_^)~
Answer:
Step-by-step explanation:
Split the area into two sections by extending 6 in segment.
We get a rectangle of 5 in x 10 in and a trapezoid.
<u>Rectangle:</u>
<u>Trapezoid:</u>
- A = 1/2(b₁ + b₂)h
- A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²
<u>Total area:</u>
Answer:
84.5 m
Step-by-step explanation:
It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.
The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:
Tan = Opposite/Adjacent
Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:
tan(30°) = OB/OA
OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m
Likewise, we have ...
OC = (200 m)·tan(45°) = 200 m
Then the width of the river is the difference between these values:
BC = OC -OB = 200 m - 115.47 m = 84.53 m
Explanation
The Inscribed Quadrilateral Theorem states that a quadrilateral can be inscribed in a circle if and only if the opposite angles of the quadrilateral are supplementary
Answer 1: True
Also, Given a triangle, the circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet.
Answer 2: True
