Answer:
180 square feet
Step-by-step explanation:
A rug that is geometrically similar to her room floor is one that has the same size as her room floor.
The floor has dimensions 12 feet by 15 feet.
The area of the floor and hence, the rug is:
A = 12 * 15 = 180 square feet
She should buy a rug that is 180 square feet
Part A:
There are 25 blocks for the length, and the length of each is 5.5 inches. 5.5x25=137.5
There are 9 blocks for the height, and each is 2.75 inches. 2.75x9=24.75
Since we're trying to find how much longer the length is to the width, we find the difference. 137.5-24.75=112.75
So part A answer is <em><u>112.75 (or 112¾)</u></em>
Part B:
We know the length is 137.5 and the height is 24.75. To find how many times longer the length is, we need to divide to see how many 24.75 can go into 137.5.
137.5÷24.75=5.55
So the answer to part B is <u><em>5.55. Given the context, the answer would probably be 5, because that's how many entire height can fit.</em></u>
<u><em /></u>
Sorry if it's wrong lol
The area of a rectangle is easy to compute.
Area = length times height
Area = 8 cm * 4 cm = 32 square centimeters
Answer:
d
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1
= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms
= - x³ - 3x² + 2x + 4 → d
Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
