we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
How to find the dimensions of the large rectangle?
First, we know that the large rectangle is the smaller rectangle rescaled, with a scale factor k = 4.
This means that each dimension of the smaller rectangle must be multiplied by 4 to get the correspondent dimension on the larger rectangle.
The dimensions of the smaller rectangle are:
l₁ = 12in
w₁ = 8in
Then the correspondent dimensions of the large rectangle are:
l₂ = 4*12in = 48 in
w₂= 4*8in = 32in
Now, the area of the large rectangle is given by the product between the two dimensions, we will get:
A₂ = 48in*32in = 1,536 in^2
Then, we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
If you want to learn more about rectangles:
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In order to figure this out, we can set up a proportion and simplify using cross multiplication.
One grapefruit costs
89 cents.
Answer:
(B)(negative 2) (4)
Step-by-step explanation:
The arrow on the number line ended at negative 8 (-8).
Given the options:
(A) (negative 3) (4) =(-3)(4)=-12
(B)(negative 2) (4) =(-2)(4)=-8
(C) (2)(4)=8
(D)(3)(4)=12
The expected product is -8 since that is where the arrow ended. Therefore, the product that is modeled by the number line is that which gives a result of -8. The correct option is B.
(B)(negative 2) (4) =(-2)(4)=-8
Answer: A = 4 P = π PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4
Answer:
1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.
Step-by-step explanation:
Given that the scale of the map is 
inches = 
miles ....... (1)
Now, we have to convert this map scale to a unit rate.
And the unit rate is the number of inches per mile.
As the scale is constant, therefore from the the relation (1) we get
1 mile = 
inches.
Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)
