STP is a right, isosceles triangle.
The diagonals of a square cut the square itself in two equal right isosceles triangles. So, both diagonals cut the square in four right isosceles triangles.
STP is a right triangle because the two diagonal are perpendicular to each other, and it is isosceles because ST and TP are both half a diagonal, because the two diagonals intersect in their midpoint.
So, the angles of STP are 90, 45 and 45 degrees.
As for the lengths, SP is a side of the square, so let's call its length 
. The diagonals of a square are 
units long, and so 
The simple interest rate is $46,800
<h3>What is simple interest?</h3>
Simple interest serves as the interest that is based on the principal amount of a loan or in some cases the deposit in a savings account.
interest rate = 6.5%= 6.5/100= 0.065
time = 12 years
principal = $60,000
Simple interest formular =(Principal x Interest Rate x Time)/100
Simple interest = (12* 0.065* 60000)/100
=$46,800
Therefore, simple interest rate is $46,800
Learn more about simple interest at:
brainly.com/question/20690803
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Answer:
<h2>
y = -¹/₂x + 5</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
<h3>
y = -¹/₂x + 5</h3>
Answer:
<h2>slope = -10/7</h2>
<u>Step-by-step explanation:</u>
co-ordinates = (6,-2) (5,-4)
slope = (y² - y¹) / (x² - x¹)
slope = (-4 - 6) / (5 - (-2))
slope = (-10) / (5+2)
slope = (-10) / 7
slope = -10 / 7
Answer:
Use the vertical motion model, h = -16t^2 + 21 , t=1 second
h = -16(1) ^2 + 21
h = 5 feet
Step-by-step explanation:
Just plug in the time with t to get your answer in height
