Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per <u>one</u> mile.
Jasmine:
minutes per mile
Caroline:
minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:
<u>B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.</u>
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<em>I hope this helps! Let me know if you hae any questions :)</em>
Rearrange equation.h=-16t^2-6t+110 h = 0 at the ground. divide both sides of the equation by (-2) to yield: 0 = 8t^2+3t - 55 and use quadratic equation h=<span>-b±√(b2 - 4ac)</span> 2awhere a = 8, b= 3, c=-55 Substitute: [-3 ± √(9 - 4*8*(-55))] / (16) = [6 ± √(36 + 1760)] / (16) = [6 ± √(1796)] /16 = (6 ± 42.3792)/16. Time can only be positive for this problem...so discard negative answer. = 48.3792/16 = 3.02 seconds
Answer:
60000 square miles
Step-by-step explanation:
Step 1: Great lakes beginning with consonant: Huron, Michigan, Superior
Great lakes beginning with vowel: Ontario, Erie
Step 2: Estimate the areas to nearest thousand.
Estimation of area of Huron = 23000 square miles
Estimation of area of Michigan = 22000 square miles
Estimation of area of Superior = 32000 square miles
Total area of Great lakes beginning with a consonant = 23000 + 22000 + 32000 = 77000 square miles
Estimation of area of Ontario = 7000 square miles
Estimation of area of Erie = 10000 square miles
Total area of Great lakes beginning with a vowel = 7000 + 10000 = 17000 square miles
Step 3: Difference between the total area of Great lakes beginning with a consonant and the vowel
77000 – 17000 = 60000 square miles
Answer:
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
