Answer:
°
Step-by-step explanation:
The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equivalent to the arc surrounding it. One can apply this here by stating that the measure of the arc surrounding the (90) degree angle is (90) degrees.
The total degree measure of a circle is (360). Thus one can form an equation and solve it to find the measure of the arc surrounding the angle (b). Call the arc surrounding angle (b); ().
Simplify,
Inverse operations,
The peripheral angles theorem states that if the vertex of an angle formed between a tangent and a chord, is on the circumference (outer edge) of a circle, then the measure of the angle is equal to half of the measure of the surrouding arc. Please note that a chord is a line segment in a circle that intersects the circle in two points. A tangent is a line segment that intersects a circle at one point. One can apply this here by stating the following,
Substitute,
Solve,
Answer: See below
Step-by-step explanation:
A.
Let's split the integral into two parts, by the Sum Rule.
[split into 2 integrals]
[solve integral for each part]
[Remember, we need to add C for constant]
-------------------------------------------------------------------------------------------------
B.
[expand into 2 integrals]
[simplify second integral]
[solve integral for each part]
-------------------------------------------------------------------------------------------------
C.
[distribute]
[split into 2 integrals]
[solve integral for each part]
[solve]
-------------------------------------------------------------------------------------------------
D. *Note: I can't put -1 for the interval, but know that the 1 on the bottom is supposed to be -1.
[expand]
[split into 2 integrals]
[solve integral for each part]
[solve]
Answer:
63 ft^2
Step-by-step explanation:
We know that the area for the rectangle is 72 feet squared.
We also know that the area for the triangle is 9 feet squared.
To find out the area of the whole thing you subtract 72-9 whcih gives you 63.
Answer:
y=2
Step-by-step explanation:
<u>Subtract 22 from both sides</u>
<u>Divide by -7 on both sides</u>
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Hope this helps :)