Heres a math thingy because im slow and dk how to do it :)
2 answers:
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The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
- The length of the hypotenuse of the triangle is <u>26 cm</u>.
Reasons:
Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>
Learn more about Pythagoras's theorem here:
Answer:
23.41cm
Step-by-step explanation:
Using Pythagoras theorem
a²+b² = c²
Where a and b are sides of the triangle and c is the Hypotenuse.
If we substitute the values
B= 8 cm
A= 22 cm
22²+8² = c²
484 + 64= c²
√548 = c
C= 23.41
Hence, length AB is 23.41cm
CHECK THE ATTACHMENT
Answer:
y =5x
Step-by-step explanation:
(5 - 0) = m(1 - 0)
5 = m(1)
5 = m
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
Answer:
The effective interest rate, rounded to the nearest tenth, is 0.1%.
Step-by-step explanation:
The banker's rule is the simple interest formula.
The simple interest formula is given by:
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.
The effective interest rate is given by the following formula:
.
In this problem, we have that:
A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that .
So
The effective interest rate is
The effective interest rate, rounded to the nearest tenth, is 0.1%.