The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.
<h3>What is a factor of polynomial?</h3>
The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
Juanita begins to factor an expression as shown.
To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,
Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.
Learn more about factor of polynomial here;
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Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
Let's find the area of the base first:
7×7=49
The S stands for the sides of the base. Since you are multiplying them by each other, you are basically squaring them.
Let's now multiply the area of the base by the height.
49×12=588
Now, let's multiply by 1/3.
588×1/3 or 588÷3
196
So, the volume is 196 ft³.
The answer is approximately 11.18.
Answer:
The length of Ms. Ford's kitchen is 57.5 feet.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The kitchen is rectangular.
- Ms. Ford wants to buy 5 extra feet of wallpaper border.
- She buys a total of 62.5 feet of wallpaper border.
2. Therefore, to calculate the length of Ms. Ford's kitchen, you only need to substract 62.5 feet and the 5 extra feet of wallpaper border. Therefore, the result is:
