Answer:

Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
The measure of acute angle A to the nearest tenth of a degree is 51.2°
<h3>Measure of angles</h3>
From the given information, we are to determine the measure of the angle.
The angle we are to determine its measure is acute angle A
From the given information, we have that
sin A = 0.7793
Thus,
A = sin⁻¹(0.7793)
Using calculator
A = 51.1965°
A ≅ 51.2°
Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°
Learn more on Calculating measure of angles here: brainly.com/question/9171516
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Original Equation: 4x - 2(x+1) = 3x + 10
Step 1: Use Distributive Property
4x - 2x - 2 = 3x + 10
Step 2: Combine Like Terms
2x - 2 = 3x + 10
Step 3: Solve
2x - 2 = 3x + 10
- 2x -2x
--------------------------------
-2 = x + 10
-10 -10
------------------------
-12 = x
Answer:
The total budget is $1260
Step-by-step explanation:
Given


Required
Determine the total budget
Since all budgets was spent on Props and Costumes only.
We have that.




In other words, 55% was spent on Props
Let the total budget be x, we have:

Make x the subject


Hence, the total budget is $1260