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masha68 [24]
4 years ago
6

Work out 1 3/4 x 4 1/6

Mathematics
1 answer:
sattari [20]4 years ago
8 0

Convert mixed number to improper fraction:

1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}\\\\4\dfrac{1}{6}=\dfrac{4\cdot6+1}{6}=\dfrac{24+1}{6}=\dfrac{25}{6}\\\\1\dfrac{3}{4}\times4\dfrac{1}{6}=\dfrac{7}{4}\times\dfrac{25}{6}=\dfrac{7\times25}{4\times6}=\dfrac{175}{24}=\dfrac{168+7}{24}=7\dfrac{7}{24}

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A circle has a circumference of 3600 pi. what is the diameter of the circle
Angelina_Jolie [31]
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Formula
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Circumference = πD

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Find Diameter
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3600π = πD
D = 3600 ← Divide by π on both sides

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Answer: Diameter = 3600 unit
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3 0
3 years ago
1. Calculate the H.C.F of a 2 b 5 and a 3 b 3 .
harkovskaia [24]

Answer:

Step-by-step explanation:

Problem is HCF:

        Of;

                               a²b⁵      and     a³b³

The highest common factor, HCF is used to factor expressions in order to simplify them.

H.C.F is a factor that is common to both expressions.

       here we have

           a²b⁵    and      a³b³

     a²b⁵   = a x a x b x b x b x b x b

     a³b³  =  a x a x a x b x b x b

In both expressions, for a:

                        a x a            and   b x b x b x b x b

                        a x a x a      and    b x b x b

                    common factors are a and b

both entities contains a and b

  Highest common factor H.CF;

                          a²                and b³

               this makes   <em><u>a²b³     </u></em>      

<em><u>a²b³  </u></em> is common to both of them and it is the highest term that can be factored from the the two.    

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4 years ago
Help. Geometry. Branliest!!
Ierofanga [76]

1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.

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2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.

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3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.

Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.

4 0
3 years ago
What number is 21% more than 5/11?
mr Goodwill [35]

Answer:

Step-by-step explanation:

21% more then 5/11...

5/11 + 21% of 5/11 = 5/11 + 0.21(5/11) = 5/11 + (21/100 * 5/11) =

5/11 + 21/220 = 11/20 <===

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
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