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exis [7]
3 years ago
11

Plsss helpp mathhh and thank u if u answer

Mathematics
1 answer:
kompoz [17]3 years ago
7 0

Answer:

a. 60 centimeters

b. 67 centimeters

Step-by-step explanation:

a.

12 × 4 = 48

(6 × 4) ÷ 2 = 12

48 + 12 = 60

b.

7 × 10 = 70

(2 × 3) ÷ 2 = 3

70 - 3 = 67

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How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?
Sliva [168]

Answer:

49

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x

and

b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q

Express q:

q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}

Solve this equation. Cross multiply:

(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=the%20%5C%3A%20angle%20%5C%3A%20of%20%5C%3A%20measure%20%5C%3A%20%20%5Cfrac%7B31%5Cpi%7D%7B6%7
Yakvenalex [24]

Answer:

3rd quadrant

Step-by-step explanation:

  • First we just convert the angle from radians to degrees
  • \frac{31\pi radians }{6}*\frac{180degrees}{\pi radians}  =\frac{31*180}{6} degrees=930degrees
  • Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
  • 930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees  
  • Now in which quadrant it 210 degrees?
  • 0 degrees to 90 degrees is 1st quadrant
  • 90 degrees to 180 degrees is 2nd quadrant
  • 180 degrees to 270 degrees is 3rd quadrant
  • 270 degrees to 360 degrees is 4th quadrant
  • So our answer is the 3rd quadrant.
7 0
3 years ago
Which way is better?
Liono4ka [1.6K]

Answer:

the best way is to follow the law, sales tax is not subject to discount by the seller.

Step-by-step explanation:

both ways result in the same outcome:

improper way, discount after tax

$50+$5(tax)=$55, after discount $55-$11(20%)=$44

proper way, discount before tax

$50-$10(20%)=$40+$4(tax)=$44

3 0
3 years ago
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours
Wewaii [24]
1 hour and 7 1/2 minutes per picture
2 1/4 = 60 * 2 = 120 + 15 = 135/2= 67.5 = 1 hour and 7 1/2 minutes
3 0
3 years ago
What is the following product ?
AfilCa [17]

Answer:

The correct answer is option B). 7x² -12x√14 + 72

Step-by-step explanation:

I<u>dentity</u>

(a - b)² = a² - 2ab + b²

Find the product

It is given that ( x√7 - 3√8)(x√7 - 3√8)

(x√7 - 3√8)(x√7 - 3√8) =  (x√7 - 3√8)²

(x√7 - 3√8)² =  (x√7)² - 2*x√7*3√8 +(3√8)²

 = 7x² - 6x√56 + 72

 = 7x² - 6x*2√14 + 72

 = 7x² - 12x√14 + 72

Therefore the correct answer is option B).  7x² - 12x√14 + 72

8 0
3 years ago
Read 2 more answers
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