Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements
Answers
d=AS+SB=AS+SB'=√(AB"²+B'B"²)
AB"²=12²-2²=140
d=√(140+8²)=√204=14.283 miles
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Related Questions
If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime
40 cm ___ 4 m A : > B : < C : =
A man's shoe size is related to his foot length and can be modeled by the equation s = 1.7f - 7.2, where s is shoe size and f is foot length,in inches. What is the shoe size of a man whose foot measures 9 inches?
I will upvoteWhat is the 12th term in the sequence? Note: Use the explicit rule. a_n=−16+2n Enter your answer in the box. a_12=
Answers
180 - 65 - 57 = 58
The measure of the third interior angle is 58°.
Now, the largest side of triangle is opposite its largest interior angle; that means the largest side of this triangle is the side opposite the angle that measures 65° - the side representing swim distance. This is true for the middle and smallest sides as well - they're opposite the middle and smallest interior angles. The following shows the sides from largest to smallest as they correspond to angle measures from largest to smallest.
65° = swim
58° = bike
57° = run
Now to finally determine which statement is true.
Statement A is false because run distance is the smallest distance of all three distances.
Statement B is false because, as we've said, run distance is the smallest distance.
Statement C is false because swim distance is greater than bike distance.
That means that the correct answer is D - the bike distance is greater than the run distance.
b. {2,2,4}
c. (1,2, sqrt of 3 wouldn't it be B because it has all even numbers?
Answers
The only set of numbers that could be the sides of a right triangle is **(b) {2, 2, 4}**.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, in order for a set of numbers to be the sides of a right triangle, the following equation must hold:
hypotenuse^2 = leg1^2 + leg2^2
Let's check each of the given sets:
(a) {2, 3, √13}
hypotenuse^2 = √13^2 = 13
leg1^2 = 2^2 = 4
leg2^2 = 3^2 = 9
13 ≠ 4 + 9
Therefore, {2, 3, √13} cannot be the sides of a right triangle.
(b) {2, 2, 4}
hypotenuse^2 = 4^2 = 16
leg1^2 = 2^2 = 4
leg2^2 = 2^2 = 4
16 = 4 + 4
Therefore, {2, 2, 4} can be the sides of a right triangle.
(c) {1, 2, √3}
hypotenuse^2 = √3^2 = 3
leg1^2 = 1^2 = 1
leg2^2 = 2^2 = 4
3 ≠ 1 + 4
Therefore, {1, 2, √3} cannot be the sides of a right triangle.
Therefore, the only set of numbers that could be the sides of a right triangle is **(b) {2, 2, 4}**.
Learn more about sides of a right triangle here:
#SPJ6
Final answer:
The set of numbers that could be the sides of a right triangle is {2,3, sqrt of 13}.
Explanation:
To determine whether a set of numbers could be the sides of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check each set of numbers:
a. {2,3,√13}
b. {2,2,4}
c. (1,2,√3)
For set a, the sum of the squares of 2 and 3 is 13, which is equal to the square of √13. Therefore, set a could be the sides of a right triangle.
For set b, the sum of the squares of 2 and 2 is 8, which is not equal to the square of 4. Therefore, set b could not be the sides of a right triangle.
For set c, the sum of the squares of 1 and 2 is 5, which is not equal to the square of √3. Therefore, set c could not be the sides of a right triangle.
Therefore, the set of numbers that could be the sides of a right triangle is a. {2,3,√13}.
Learn more about right triangle here:
#SPJ12
Answers
$50 dollars in bills → 50 coins of one dollar
Estimate the mass of one dollar coin
Solving:
50 coins → 405 grams
1 coin → x
The rule of three
50*x = 405*1
50x = 405
We have:
if asked to simplify the answer would be 8 grams per coin
Answers
Answer:
Second Option (10° Celsius)
Step-by-step explanation:
There is a formula to convert the temperature which is in degree Celsius into degree Fahrenheit and vice versa. The formula to convert the temperature in degree Fahrenheit into degree Celsius is:
C° = (F° - 32) * 5/9.
It is given that the temperature is 50° Fahrenheit. Therefore, F° = 50°. Substituting F° = 50° in the formula gives:
C° = (50° - 32) * 5/9.
Further simplification results in:
C° = 18 * 5/9. Therefore, C° = 10°.
So the correct answer is 10° Celsius!!!
Answer:
its b
Step-by-step explanation:
Answers
Answer:
We are calculating the Hypotenuse of a right triangle.
Step-by-step explanation:
Distance Formula: When working on a coordinate plane, you can always find the distance between two points (or the length of a line segment) by creating a right triangle and using the Pythagorean Theorem. Draw a right triangle such that the distance between the two points is the hypotenuse.
Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.
We could also see from the figure attached.
bananas cost
$350, How much
would I pound
cost?