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Phantasy [73]
3 years ago
7

Three expressions that are equal to 5/9 x 8

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

  • \frac{13}{9}+3
  • \frac{22}{9}+2
  • \frac{85}{9}-5

They all equal \frac{5}{9}*8 because they all give \frac{40}{9}

Step-by-step explanation:

  • \frac{13}{9}+3
  • \frac{22}{9}+2
  • \frac{85}{9}-5

They all equal \frac{5}{9}*8 because they all give \frac{40}{9}

Done by writing three equations with one random number and the desired result, \frac{40}{9}, returning the answers above.

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An acute triangle had two sides measuring 8cm and 10 cm what is the best representation of the possible range of values for tge
katrin2010 [14]
The third side must be >2 and < 18

To test if a triangle is acute, right or obtuse:
1) Square all 3 sides
2) Sum the squares of the 2 shortest sides
3) Compare this sum to side 3 squared
if sum > side 3 squared it is an acute triangle
if sum = side 3 squared it is a right triangle
if sum < side 3 squared it is an obtuse triangle

The shortest side 2 can be is "less than 2" so we'll say it is 2.00000001
three sides squared =
<span> <span> <span> 4.00000004 </span> </span> </span>
64
100
Summing the 2 shortest sides 4.00000004 + 64 = <span>68.00000004
</span><span>68.00000004 is less than 100 so it is an obtuse triangle no matter how long the third side is.

</span>
8 0
3 years ago
Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr
zhannawk [14.2K]
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=\sqrt{3}. Hence CM=GC+GM=3*\sqrt{3} /. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
AC^2=AM^2+GM^2=BM^2+GM^2=BC^2
Hence, we calculate from this that AC^2= 28, hence AC=2*\sqrt{7}=BC. Thus, the perimeter of the triangle is 2+4*\sqrt{7}.

3 0
3 years ago
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
3 years ago
Read 2 more answers
Factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)​
Fiesta28 [93]

Answer:

i think its 21/x-4

Step-by-step explanation:

sorry if im wrong

3 0
2 years ago
The difference 25(d−10)−23(d+6) is?
Nonamiya [84]
<h2>Answer:</h2><h2>2d - 388</h2><h2></h2><h2>Hope this helps!!</h2>

3 0
3 years ago
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