Answer:
the ratio is 12:7 but im not 100% sure
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
Commission earned = $459.6
Step-by-step explanation:
40% of 1149 = 0.4 x 1149 = $459.6
Answer:
18 feet
Step-by-step explanation:
Basically what you need to do is draw 4 congruent rectangles and 2 comgriemt squares (The six sides of a rectangular prism). The sum of the area of these six quadrilaterals should equal 96. This would be my thought process.
Step 1: Sketch a Rectangular Prism
Step 2: Make some educated guesses on some possible side measurements for the quadrilaterals that form the prism.
Step 3: Guess and Check until the amount equals 96.
So we can guess that the sides of the rectangle might equal 2 and 3 units.
This would be 6 for the area. Times 4 for each of the 4 Rectangles. (24) and add the area of the ends of the prism (2*2*2) which is 8 and you will get 32.
Since we are looking for a surface area of 96 and not 32, we can assume that a 3*2*2 prism is not what we need. So we can try again with other values.
Let's try 6*3*3. 6*3*4 for the four rectangles plus 3*3*2 for the ends.
