Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
Answer:
A
Step-by-step explanation:
Answer:
Since its distance do the distance formula which is d= square root of x2-x1 squared plus y2-y1 squared. Plug in the numbers. in the square root house, it will be (3-(-4)) squared plus (7-6). Since its two negatives....it will be (3+4) squared plus 1 since 7-6=1. Then it will be the square root of 7 squared plus 1. it soon will be the square root of 50. You need to break the 50 apart to a perfect square. So find a perfect number....which have 2 multiples beside itself and 1. So 25 times 2 will be it since 25 is a perfect square. 50 squared equals the square root of 25 times 2. Now break the 25. it will be 5 times the radical of 2.
7/3=L/9
⇒63=3L
⇒L=21
which mean the Length equal 21 tiles and width equal 9 tiles for the new rectangle.
We know that
scale factor=measure triangle DEF/measure triangle ABC
DE/AB=DF/AC=EF/BC
12/72=7/42=11/66-----> 1/6
the answer is
<span>the scale factor of ABC to DEF</span> is 1/6
