Answer:
(5.9 , 1)
Step-by-step explanation:
(1 , 0) (1 , 2) length = 2
Third vertex ( x , y)
(x - 1)² + (y - 0)² = 5²
(x - 1)² + (y - 2)² = 5² isosceles triangle
(y - 2)² - y² = 0
-4y + 4 = 0
y = <u>1</u>
(x - 1)² + (1 - 0)² = 5²
(x - 1)² = 24
x - 1 = ± 2√6
x = 1 + 2√6 or x = 1 - 2√6
X in the 1st quadrant x = 1+2√6 = <u>5.9</u>
Answer:
lenght: 192
Width 128
Height: 64
Step-by-step explanation
if every other thing is times height then height is x so you would do x+2x+3x = 384 and solve from there to get 384/6x= 64
and since width is 2 times that then 64 times 2 is 128 and times 3 is the lenght
Answer:
7.45
Step-by-step explanation:
We are given a right triangle with one side length known and an angle know so we can use some trigonometry.
You need to find the hypotenuse so you are going to use either sine or cosine.
Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,
cos(20) = 7/h
=>h = 7/cos(20)
=> 7.44924
=> 7.45
Answer:
he is not correct cuz none of the x factors repeat :)
Volume of a rectangular prism = l × w × h.
In this case,
V = 270 cubic feet
l = 15 feet
w = 4 ft
h = ?
Plug our values into the volume formula.
270 cubic feet = 15 feet × 4 feet × h.
Simplify the right side
270 = 60 × h.
Divide each side by 60.
4.5 = h
The height is 4.5 feet.
