In triangle ABC , angle A is a right angle and angle B = 45. If AB = 19 feet, what is BC?
Answers
If both non right angles are 45° we have an isosceles right triangle and AC is also 19 feet.
So now we can use the Pythagorean theorem to find the missing side.
a² + b² = c² and we are looking for BC - the hypotenuse of the triangle
19² +19² = c² 361+361 = c² 722= c² and c=√722 or about 26.87
Final answer:
In triangle ABC, if angle A is a right angle and angle B is 45 degrees, it is a 45-45-90 special right triangle. Given that AB = 19 feet, BC will also be 19 feet due to the properties of 45-45-90 triangles.
Explanation:
In triangle ABC, since angle A is a right angle and angle B is 45 degrees, we are dealing with a 45-45-90 triangle which is a special right triangle. In a 45-45-90 triangle, the sides are in the ratio of 1:1:√2.
Given that AB = 19 feet, because of the special properties of a 45-45-90 triangle, we know that in these triangles, the two legs are of equal length. So the length of BC, which is the other leg of the triangle will also be 19 feet.
Learn more about 45-45-90 Triangle here:
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Related Questions
The ages of amit and archana are in ratio 4:5. If amit is 4 years 8 months old, find the age of archana
Let n = 5. What is the value of 4n − 3?A. 8B. 17 C. 20 D. 23
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 10 pennies into his bank, how many pennies does Tara put into her bank? Answer options with 4 options
1234552°447°m/1 =m/2 =m/3=m/4=m/5=
23 + 18w = -21 + 14w
Answers
23+18w = -21+14w
18w-14w = -21-23
4w = -44
w = -11
Try to bring w values in one side, and non-w for other side.
23 + 18w = -21 + 14w
Solving
23 + 18w = -21 + 14w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-14w' to each side of the equation.
23 + 18w + -14w = -21 + 14w + -14w
Combine like terms: 18w + -14w = 4w
23 + 4w = -21 + 14w + -14w
Combine like terms: 14w + -14w = 0
23 + 4w = -21 + 0
23 + 4w = -21
Add '-23' to each side of the equation.
23 + -23 + 4w = -21 + -23
Combine like terms: 23 + -23 = 0
0 + 4w = -21 + -23
4w = -21 + -23
Combine like terms: -21 + -23 = -44
4w = -44
Divide each side by '4'.
w = -11
Simplifying
w = -11
Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations? (5 points)
One solution
Two solutions
No solution
Infinitely many solutions
Answers
y=2x+6
y=2x+2
Solve y=2x+6 for y
Substitute 2x+6 for y in y=2x+2
y=2x+2
2x+6=2x+2
Add -2x to both sides
2x+6-2x= 2x+2-2x
6=2
Add -6 to both sides
6-6=2-6
0=-4
No Solution
Answer:
both have a slope of 2 yet have different y intercepts meaning on a graph they never collide therefore there are no solutions.
Answers
Answers
Answer:
Average cost per ball: $22.2
Step-by-step explanation:
Cost per ball: $22
Cost of 300 balls: 300 × 22 = $6600
Total No. of Orders: 3
Delivery fee per order: $20
Total Delievery fee: 20 × 3 =$60
Total cost including delivery cost: $6600 + $60 = $6660
3(x+1)
3(x)+3(1)
3x +3
A) associative B) commutative C) distributive D) identity
Answers
b. t < –5 and t must be a positive number
c. t > –5 and t may be a negative number
d. t > –5 and t must be a positive number
Answers
so you know the sign will have to be t<-5 degrees Fahrenheit now you are left with is t a positive or negative number a positive number would automatically be greater than -5 degrees Fahrenheit so there is no way it can be a positive number thus leaving you with one option.
Answer: a