Answer: 72
We can use ratios
117 inches / 13 inches = 9
The corn cast shadow is 9 times bigger than the example we are given.
9 * 8 = <u><em>72</em></u>
closed dot is if the number is part of the solution so if it is equal to
and
use open if it is not part of solution as in if it is greater than or less than
so for your picture x greater or equal to -2 it would be a closed dot
Commutative property of multiplication is two numbers being multiplied either way,example 1x2 = 2x1.
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
Answer:
a
Step-by-step explanation:
Given
u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is
u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )
Then
v • w
= (5 × 9) + (- 4 × - 2) + (4 × 7)
= 45 + 8 + 28
= 81 → a
