<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines
in this problem we have
therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines
In this problem we have
g=HI
G=angle Beta
substitute
therefore
<u>the answer Part 2) is</u>
Law of Cosines
Answer:
B. (x - 6)(x + 2).
Step-by-step explanation:
x^2 - 4x - 12
We need 2 numbers whose product is the last number -12 and whose sum is the coefficient of x (-4).
These numbers are -6 and + 2.
So the factors are (x - 6)(x + 2).
Answer:
A. 49 feet
B. 66 feet (round to the nearest foot)
C. 4 seg
Step-by-step explanation:
A. What is the height of the ball after 3 seconds?
For 
B. What is the maximum height of the ball? round to the nearest foot
then
For 
C. When will the ball hit the ground?
The ball will hit the ground when 
so, 
Using the quadratic equation
Answer:
Step-by-step explanation:
Explanation:
First, multiply each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
A
=
2
×
h
2
(
a
+
b
)
2
A
=
2
×
h
2
(
a
+
b
)
2
A
=
h
(
a
+
b
)
Now, divide each side of the equation by
a
+
b
to solve for
h
while keeping the equation balanced:
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
(
a
+
b
)
a
+
b
2
A
a
+
b
=
h
h
=
2
A
a
+
b
Answer:
To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.
Step-by-step explanation:
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