Answer:
Step-by-step explanation:
In the figure you can identify up to 3 straight triangles.
To solve the problem, write the Pythagorean theorem for each triangle.
<em>Triangle 1</em>
<em>Triangle 2</em>
<em>Triangle 3</em>
Now substitute equation 2 and equation 3 in equation 1 and solve for y.
substitute the value of y in the second equation and solve for z
Answer:
Top row: [1 0 0 1000]
Middle row: [0 1 0 300]
Bottom Row: [0 0 1 0]
Step-by-step explanation:
To put it in RREF form, you need to have only 1's in a diagonal and 0's both top and bottom of the 1's. To get to the forms, you need to multiply and add rows together to solve for RREF.
Answer:
2
Step-by-step explanation:
Since LCM of x and y is 161, this means x and y are factors of 161. The factors of 161 are:
1 , 7, 23, 161
Since x and y are prime numbers and it is given that x > y, the only possible solution for x and y is:
x = 23
y = 7
We have to find what is the remainder when x=23 is divided by y=7. We know that 7 times 3 = 21. This means, when 23 is divided by 7, the quotient is 3 and the remainder is 2.
Therefore, the answer to this question is 2.
Answer:
21.88
39.06
Step-by-step explanation:
For starters, we say
let the length of side of the square be x
We only that the area of a circle is πr² and we have a circumference of a circle, c = 2πr, so then, we say that
r = c/2π and c = (25 - 4x)
a = x² + π * [(25 - 4x)/2π]², opening the bracket, we have
a = x² + (25 - 4x)²/4π
This function then has a minimum at
x = 25/(4 + π)
x = 25 / 7.142
x = 3.5
substituting for x = 3.5, we have
a = 3.5² + (25 - 4*3.5)²/(4*3.142)
a = 12.25 + (25 - 14)²/12.568
a = 12.25 + 11²/12.568
a = 12.25 + 121/12.568
a = 12.25 + 9.628
a = 21.88
The area is 21.88
At x = 0 the area is just the circle
a = π * (25/2π)²
a = 625/4π
a = 625/12.568
a = 49.73
At x = 25/4 the area is just the square
a = 625/16 = 39.06
Answer:
C) 8
Step-by-step explanation: