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cluponka [151]
4 years ago
9

Without dividing , how can you decide whether the quotient 7.16 ÷ 4 will be less than or greater than 2 ?

Mathematics
2 answers:
slava [35]4 years ago
8 0

Answer and Step-by-step explanation:

Without dividing, I can decide whether the quotient (the number obtained after dividing one number—the numerator—by another—the denominator) of 7.16 ÷ 4 is either less than or greater than 2, by multiplying the denominator (which is 4) by 2, getting the product/result, and comparing the numerator (which is 7.16) with it:

I know that the product of 4 and 2 is 8; however, when comparing 7.16 with 8, I know that it is less than 8; thus I can quickly decide that the quotient of 7.16 ÷ 4 will be less than 2.

Free_Kalibri [48]4 years ago
3 0
How many times does 2 go into 7. find that out and you will know
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The line l is a tangent to the circle x^2+y^2=26 at the point A
vazorg [7]

Answer:

  65 square units

Step-by-step explanation:

Assuming point O refers to the origin, the segment OA has slope ...

  m = Δy/Δx = 5/1 = 5

Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.

The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  0 -5 = (-1/5)(x -1)

  25 = x -1 . . . . . . . multiply by -5

  x = 26 . . . . . . . add 1

This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...

  A = 1/2bh

  A = 1/2(26)(5) = 65 . . . . square units

Triangle OAP has an area of 65 square units.

6 0
3 years ago
3. The ratio of the width to the length of a rectangle is 4:5. If the area of the rectangle is 500 square centimeters, what is t
Maurinko [17]

Answer:

<h2>           25 centimeters​</h2>

Step-by-step explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle:  A = W×L

Therefore:

              500 = 4x×5x

               500 = 20x²

               50 = 2x²

                x² = 25

                x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm

8 0
3 years ago
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BabaBlast [244]
The correct answer for this question would be answer C. x +24
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3 years ago
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Answer:

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Step-by-step explanation:

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The shirt was $7.45 he pays with a $20 how much he getting back
nordsb [41]

Answer:

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