Length of the rectangle is 24.5 ft and width is 27.5 ft
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft
Perimeter = 2(length + width)
⇒ 104 = 2(x + x-3)
⇒ 104 = 2(2x - 3)
⇒ 104 = 4x - 6
⇒ 4x = 110
∴ x = 110/4 = 27.5
⇒ x - 3 = 24.5
Answer:
a1=1/2
r=3/4
n=5
Step-by-step explanation:
a1 is the first term in the geometric series
a1=1/2
r is the common ratio of the first and second term
r=(3/8)/(1/2)
r=3/4
where n is the no of the term in the geometric series
In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a direct polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.
The number multiplied at each stage of a geometric sequence is called its common ratio.
Answer:

Step-by-step explanation:
So we have the expression:

And we want to evaluate it for x=-2.
So, substitute -2 for x:

Multiply:

Subtract:

The absolute value of a negative is positive. So:

And we're done!
Answer:
angle B=120º
Step-by-step explanation:
15+45=60
We know that all triangles have angle measures that equal 180
So 180-60=120
angle B=120º
I don't know which one is underlined so I will write it out in words.
One million seven hundred and eleven thousand and seven hundred ninety-nine.
Hope I helped :)