The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.
⇒
2
x
+
4
x
+
6
x
=
180
12
x
=
180
12
x
12
=
180
12
x
=
15
The measures of the angles are:
2
x
=
2
(
15
)
=
30
4
x
=
4
(
15
)
=
60
6
x
=
6
(
15
)
=
90
Answer:
B
Step-by-step explanation:
Lets convert everything to gallons.
Alpha Mart:
1 quart = 0.25 gallons
1 * 0.25 = 0.25 gallons for $1
1 / 0.25 = 4 * 1 = $4 per gallon
Beta Mart:
1 gallon for $3
Gamma Mart:
1 pint = 0.125 gallons
0.125 gallons for $0.54
1 / 0.125 = 8 * 0.54 = $4.32 per gallon
Delta Mart:
1 quart = 0.25 gallons
2 * 0.25 = 0.5 gallons for $1.86
1 / 0.5 = 2 * 1.86 = $3.72 per gallon.
As we can see from all the unit prices, Beta Mart sells milk for the cheapest price.
Best of Luck!
Answer:
Step-by-step explanation:
The answer is 4230
Answer:
The volleyball travel high enough to clear the top of the net.
Step-by-step explanation:
The height of a volleyball, h, in feet, is given by h = −16t² + 11t + 5.5, where t is the number of seconds after it has been hit by a player.
Now, for h = 7.3 feet, we can write
7.3 = - 16t² + 11t + 5.5
⇒ 16t² - 11y + 1.8 = 0
Using the quadratic formula we get,
⇒ 
⇒ t = 0.27 or t = 0.42
Therefore, for the two real positive values of t the volleyball travel high enough to clear the top of the net. (Answer)
<span>the football team has 30 more players than the basketball
team, so the number of players on the football team is x= 30 + y.
Then you have to add on the extra ten players to each team so that the ratio
fits. Now the football team is </span>
<span>10 + 30 + y (or 40 + y) and the basketball team is 10
+ y.
Next you need to divide the ratio by its respective parts since a third of the
football team is equal to half of the basketball team. So you end up with this
equation:
(40 + y)/3 = (10 + y)/2
multiply the three over to the other side to cancel it out. Same with
the two. So, now the equation is:
80 + 2y = 30 + 3y
Subtract the 30 from the 80 and the 2y from the 3y and you have your answer: y
= 50.
Go back up to the top where you found out that x = 30 + y and put the 50 in
place of the y, giving you x = 80</span>
