Answer: x-int : (-2,0), (-5,0)
y-int: (0,10)
Step-by-step explanation:
Answer:
135°
Step-by-step explanation:
Since it's a right triangle, one angle will be 90° and the other given one is 45°. The total degrees in a triangle is 180 therefore ∠CAB is 45°.
Because ∠CAB is supplementary to ∠CAD, you have to subtract 180° -- since it's a straight line -- with 45°.
This gives you 135°
Answer:
The probability that both cards that are drawn are hearts is 1/17.
Step-by-Step-Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.
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So hence, your answer is 1/17</h2>
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Answer:
$149.00
Step-by-step explanation:
Selling Price = Final Price / 1 + Sales Tax
(reverse tax calculator)
"For Example:
If your total receipt amount was $57.98, and you paid 1.07 percent in sales tax, you’d simply plug those numbers into our calculator to find out that your original price before tax was $57.37. From there, it is a simple subtraction problem to figure out that you paid .61 cents in sales tax."
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
