Well, if he shoots 15 shots in 5 minutes then that means he shoots 3 per minute.
3 x 12 = 36
In 12 minutes, he will have shot 36 shots.
Landon's score is: 141
Step-by-step explanation:
Let x be the scores of Landon
and y be the scores of Chris
Then
And
Put\ x=2y+5\ in Eqn 1
subtracting 5 from both sides
Dividing both sides by 3
Putting y=68 in equation 2
Landon's score is: 141
Keywords: Linear equations, Variables
Learn more about linear equations at:
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7/5 - 10/5 = -3/5
I hope this helps.
Answer:
Step-by-step explanation:
An animal rescue group saved 50 baby birds and 44 adult birds during the month of August. Ratio of baby birds saved to adult bird saves is expressed as number of baby birds saved divided by number of adult birds saved. So the ratio of baby birds saved to adult birds saved for august becomes
50/44 = 25/22
the ratio of baby birds saved to adult birds saved for September becomes
36/30 = 6/5
6/5 is the biggest ratio, hence , the ratio of baby birds saved to adult birds saved is higher in September.
Answer:
Step-by-step explanation:
If our interval is between 0 and 90 degrees, that means that our angles are first quadrant angles. Since the formulas for the half angles of sin and cos consider both the positive and negative roots, knowing that we are in QI leaves us using only the principle, or positive, root.
Also, if we know that the sin of angle is 3/4, we can set up a right triangle in QI and find the missing side of that triangle using Pythagorean's Theorem. Sin of an angle is the ratio opposite side/hypotenuse. That means that, according to Pythagorean's Theorem,
and
and
Now for the forula for the sin of a half-angle:
Referring to the right triangle we created and found the missing side for, we see that the cosine of that same triangle is
Filling in the formula then:
Get a common denominator on the upper fraction:
Bring up the 2 as 1/2 to multiply and get:
When you do the exact same thing to find the cos of the half angle, you are using a + sign instead of a - sign under the radical. That gives you as your exact value: