Line WY is a Tangent. Find WY. It's a right triangle inside a circle..any help?
Answers
We know one leg is 9 and the other leg, WY is unknown. But, we do know the hypotenuse.
XY is 6 but PX is unknown. If you think about it, PX is a radius of the circle and we know that the radius is 9 since PW is also a radius of the circle. So, the hypotenuse is 6 + 9 = 15.
We know one leg is 9 and the hypotenuse is 15. We need to find the other leg and we can.
Pythagorean Theorem states that
a^2 + b^2 = c^2 where a and b are the sides of the triangle and where c is the hypotenuse. Using basic algebra, we can alter the equation to find a leg using the hypotenuse and one other leg.
c^2 - b^2 = a^2
All I did was solve for one leg and it doesn't matter what leg you solve for. Let's plug in the numbers.
15^2 - 9^2 = a^2
225 - 81 = a^2
144 = a^2
Take the square root on both sides to get "a" by itself with raising it to the second power.
12 = a
So, the last leg is 12. Hope this helped and good luck!
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The function f(t) = t2 + 6t − 20 represents a parabola.Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150
C.) t + b less than or equal to 20 15t + 8b less than or equal to 150
D.) None of the systems shown represent this scenario.
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
Earning for tutoring per hour = 15$
Earning for bag boy per hour = 8$
We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.
Nick is only able to work up to 20 hours per week
t + b ≤ 20
But must earn at least $150 per week
15 t + 8 b ≥ 150
Option B is the correct answer.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230
Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150
Answers
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answers
Answer:
4 will be the coefficient
while X will be the variable
and the constant term is 11.
Answers
The distance from the base of the ramp to the base of the wall will be 67.5 inches.
What is the Pythagorean theorem?
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
By using Pythagoras' theorem
D² = 84² - 50²
D = √ 84² - 50²
D = √4556
D = 67.5 inches
Therefore the distance from the base of the ramp to the base of the wall will be 67.5 inches.
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Answer:
Answers
also they may not be an authority on the nutrition levels of citric products
B. p < 11/3
C. p < 12
D. p < –12
Answers
3 * p - 16 < 20
3 * p < 20 + 16
3 * p < 36 /3
p < 36/3
p < 12
The correct result would be C. p < 12.
The solution to the inequality is p < 12.
Option C is the correct answer.
We have,
To solve the inequality 3p - 16 < 20, you can follow these steps:
- Add 16 to both sides of the inequality:
3p - 16 + 16 < 20 + 16
3p < 36
- Divide both sides of the inequality by 3
(since the coefficient of p is 3 and we want to isolate p):
(3p)/3 < 36/3
p < 12
Thus,
The solution to the inequality is p < 12.
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