What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units? A. 10 units B. 20 units C. 24.7 units D. 29.2 units
Answers
the length of the hypotenuse is 25 units and the length of the other leg is 15 units
To find the length of one leg of a right triangle we apply Pythagorean theorem
(one leg)^2 = hypotenuse ^2 - other leg ^2
Let x be the length of one log
hypotenuse = 25
other log = 15
Take square root on both sides
x = 20
The length of one leg = 20 units
Related Questions
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?A. 3/7B. 7/3C. 10D. 21
PLEASE HELP! TRYING TO FINISH MATH EARLY! PLEASE ACTUALLY ANSWER, AND NOT JUST TAKE THE POINTS! Thank You! ;3(05.06 MC)Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y > −4x − 1 y is less than 3 over 2 times x minus 1Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically.
Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?
Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of A be?
Answers
You'd add 5 to both sides because when you add 5 to -5, they cancel out, therefore making it the right step.
2x= -15
Divide both sides by 2 because your goal is to try to get x by itself. The opposite of multiplying 2 and x is dividing x by 2.
Final Answer: x= -7.5
Answers
The number of hours that it will take for both Hannah and Destiny to paint the room when they are working together is 9 8/9 hours.
Based on the information given, the fraction that can be painted by Hannah in an hour will be 1/20.
The fraction that can be painted by Destiny in an hour will be 1/16.
Therefore, the formula to solve the question will be:
1/20x + 1/16x = 1/1
4x + 5x = 80
9x = 80
Divide both side by 9
9x/9 = 80/9
x = 8 8/9 hours.
Therefore, it'll take them 8 8/9 hours to paint the room.
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amount of room destiny can paint in an hour = 1/16
number of hours = x
1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)
4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check
The answers are not 80 and 83. I have tried that.
Answers
The kite is approximately 83.35 feet above ground.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.
Sin = opposite side / hypotenuse
Sin 40 = x/ 125
x = Sin 40 (125)
x = 125 (0.642)
x = 80.3
In order to find the height of kite off the ground, wewill add the height of Hudson to 80.35 feet as well as he is flying the kite.
80.3 + 3 = 83.3 ft tall
Hence, the kite is approximately 83.35 feet above ground.
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Answer:
83.3 ft tall
Step-by-step explanation:
Round to 80.3 and add Hudson's height
80.3 + 3 = 83.3ft tall
what is the value of p?
Answers
8 = 2p/7 - 11
8 + 11 = 2p/7
19 = 2p/7
19 × 7 = 2p
133 = 2p
133/2 = p
p = 133/2
The answer is: p = 133/2 or p = 66.5.
Answers
Answer: 12:2, 6:1, 24:4
Step-by-step explanation:
B) f(x)=(x-3)(x-1)^2
C) f(x)=(x-1)(x+1)(x+3)
D) f(x)=(x+1)^2(x+3)
Answers
or f(x) = 0
set the f(x)'s to 0
your answer is C
x-1=0 x+1=0 x+3=0
so x= -3, -1, and 1
Final answer:
The function that defines f on the xy-plane with x-intercepts at -3, -1, and 1 is f(x)=(x+1)(x-1)(x+3), which is option C in the given options.
Explanation:
The question asks about a function on the xy-plane that has x-intercepts at -3, -1, and 1. The function's x-intercepts are the values of x where the function crosses or touches the x-axis, which means the function's value at that point (y) is zero. The general form of a polynomial that has roots (x-intercepts) at a, b, and c is given by f(x) = k(x - a)(x - b)(x - c) where k is a constant.
In this case the x-intercepts given are -3, -1, and 1, so we need to replace a with -3, b with -1 and c with 1 in the equation. so the correct function could be f(x) = k(x - (-3))(x - (-1))(x - 1). Simplifying this further gives f(x) = k(x + 3)(x + 1)(x - 1), which matches option C. Hence, option C is the equation that defines f.
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