<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
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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
Answer:
$1800
Step-by-step explanation:
First, rewrite out the information you already have:
-for 4 hrs-cost $850
-for 7 hrs-cost $1300
-for 12 hrs-$?
Next, we have to find out the amount of cost for hire per hour, so we can multiply that by 12 hrs:
-start by subtracting $850 from $1300:
1300-850=$450
-now subtract 4 hrs from 7 hrs:
7-4=3 hrs
In doing this, we see that the cost for 3 hrs hire is $450. Now, to find the unit cost per hr hire, divide $450 by 3 hrs:
450÷3=$150/hr
It costs $150 per hr hire.
Now, we have to find the cost for 12 hrs hire, so just multipy the unit cost by 12:
150*12=$1800 for 12 hrs hire
It costs $1800 for 12 hrs hire.
Answer:
Step-by-step explanation:
Answer:
D, 344
Step-by-step explanation:
5x6 = 30x2 = 60
6x10 = 60
5x10 = 50x4 = 200
4x6=24 (dont need to divide by two since theres two triangles)
24+60+60+200= 344
