So,
The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w
We know that the perimeter is 2l + 2w.
2l + 2w = 130
2(5 + 2w) + 2w = 130
Distribute
10 + 4w + 2w = 130
Collect Like Terms
10 + 6w = 130
Subtract 10 from both sides
6w = 120
Divide both sides by 6
w = 20
The width is 20.
Since
l = 5 + 2w
Substitute
l = 5 + 2(20)
Multiply
l = 5 + 40
Collect Like Terms
l = 45
The length is 45.
Check
2l + 2w = 130
2(45) + 2(20) = 130
90 + 40 = 130
130 = 130
Width: 20 ft.
Length: 45 ft.
Answer:
1/3
Step-by-step explanation:
There are 6 numbers on a dice, you want one out of the 2 outcomes, so tat makes it 2/6 or 1/3 chance of rolling a 3, or a 5
Answer:
4x⁻¹
Step-by-step explanation:
4x + 20 25 - x²
_______ ÷ _______ ↷
x² - 5x [x - 5]²
4[x + 5] [-5 + x][5 + x]
_______ ÷ _______
x[x - 5] [x - 5][x - 5]
So what we did here was factor out ALL the Greatest Common Factors [GCFs] in each denominator and numerator, and since we are dividing vertically AND horizontally, according to this, ALL [x - 5] and [x + 5] cancel each other out and all you are left with is this:
4x⁻¹
OR

This, according to the Negative Exponential Rule [Reverse], is how you rewrite it as a fraction. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
Answer:
E and K are congruent because e and k are alternate exterior angles.
Step-by-step explanation:
The value of k is 735 feet.
<h3>What is a scale drawing? </h3>
A scale drawing is a smaller image in terms of dimensions of a bigger image / building / object.
The scale of the drawing = original dimensions / dimensions of the scale drawing
<h3>What is the value of k? </h3>
The value of k = height of the antenna / length of the antenna in the model
750 / 1..02 = 735 feet
To learn more about scale drawings, please check: brainly.com/question/980463