Answer:
f(-2)=4(-2)+1= 7
Step-by-step explanation:
<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
volume of a sphere is 4/3 * PI * r^3
r = 6
r^3 = 6^3 = 216
4/3 * 216 = 288
Volume = 288 PI in^3
Answer:
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. Converting 3 2/3 yards to improper fraction, it becomes 11/3 yards of plaid ribbon.
She has 2 5/6 yards of polka - dot ribbon. Converting 2 5/6 yards to improper fraction, it becomes 17/6 yards of polka - dot ribbon.
The total number of yards of ribbon that Kristin has would be
11/3 + 17/6 = (22 + 17)/6 = 39/6 yards of ribbon.
Converting to decimal, it becomes 6.5 yards of ribbon. Approximating 6.5 to the nearest yards, it becomes 7 yards. This is because the first digit after the decimal point is 5 and thus, can be rounded up
