<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Ok i will try to answer but i really dont have that much of a clue right now
Good evening ,
Answer:
<h2>x = 3 or x = -21</h2>
Step-by-step explanation:
x²+18x=63 ⇌ x²+18x+81 = 63 + 81
⇌ (x+9)² = 144 ⇌ (x+9)² = 12² ⇌ (x+9-12)(x+9+12) = 0
⇌ (x-3)(x+21) = 0
⇌ x=3 or x=-21.
:)
1/125 or 0.008
fraction or decimal
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube = 
inch
Therefore, volume of the cube = 
inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box = 
= 
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
