Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Answer:
11679
Step-by-step explanation:
Increased by 229
First you need to find the 2%
So to find the 2%
2/100 * 11450=229
Now add 11450+229= 11679
Answer:
The answer is ten or Letter C
Step-by-step explanation:
You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = 
× Base × Height
Plugging values in formula, we get
20 = 
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
Answer:
1.445 × 10³
Step-by-step explanation:
Standard form is a way of writing a small number or a large number easily.
We should give the final answer in standard form.
1) (1.7 × 10⁴) × (8.5 × 10⁻²)
We enter this directly into the calculator to obtain a solution.
= 1445
We write this in standard form we have :
1.445 × 10³
