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3 years ago

Jessica is playing a game with the two spinners shown below.

Mathematics

2 answers:

myrzilka [38]3 years ago

4 0

The question is asking to choose among the following choices that states the possible outcomes in which jessica wins the game and base n my research and further investigation about the said question, the answer would be {16, 18, 24, 32}. I hope you are satisfied with my answer and feel free to ask for more

Norma-Jean [14]3 years ago

3 0

Answer:

The possible outcomes are: {16,18,24,32}

Step-by-step explanation:

We are given that Jessica will win the game if the product of two spinners is an even number greater than 12.

in first option none of the outcome is greater than 12.

in second option we do not have all of the outcomes greater than 12.

in third we have some of the outcomes less than 12.

and the possible outcomes such that the product is greater than 12 is:

{16,18,24,32}.

Hence, option D is correct.

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3 years ago

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Solve- cbb to work it out

zloy xaker [14]

<h3>Answers: </h3>

➝ Hypotenuse of triangle ( a ) = 21.63 mm

➝ Hypotenuse of triangle ( b ) = 150 mm

➝ Hypotenuse of triangle ( c ) = 111.80 mm

$\quad\rule{300pt}{1.5pt}\quad$

<h3>Solution:</h3>

We have to find the length of hypotenuse in the given 3 triangles, which can be done by using Pythagoras theorem.

Pythagoras theorem states that :

" In a right angled triangle, the square of hypotenuse side is equal to the sum of square of other two sides "

$\qquad \bull \:{\pmb{\mathfrak{ h^2 = b^2 + p^2}}}$

And we have to convert the answer to the units indicated in red i.e, in mm.

Since 1cm = 10 mm, we will convert the given values of length of side in mm before putting the values in the formula

For triangle ( a )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{ h =\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{h=\sqrt{ (12)^2 + (18)^2 }}$

$:\implies\qquad \sf{ h= \sqrt{144 + 324}}$

$:\implies\qquad \sf{ h = \sqrt{468}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{ h = 21.63 mm}}}}$

For triangle ( b )

$:\implies\qquad \sf{ h^2 = b^2 + p^2}$

$:\implies\qquad \sf{h =\sqrt{b^2 + p^2} }$

$:\implies\qquad \sf{ h = \sqrt{(90)^2+(120)^2}}$

$:\implies\qquad \sf{ h=\sqrt{8100+14400}}$

$:\implies\qquad \sf{ h =\sqrt{22500}}$

$:\implies\qquad\underline{\underline{\pmb{ \sf{h = 150mm}}} }$

For triangle ( c )

$:\implies\qquad \sf{h^2 = b^2 + p^2 }$

$:\implies\qquad \sf{ h=\sqrt{b^2 + p^2}}$

$:\implies\qquad \sf{ h =\sqrt{(100)^2)+(50)^2}}$

$:\implies\qquad \sf{ h=\sqrt{10000+2500}}$

$:\implies\qquad \sf{ h =\sqrt{12500}}$

$:\implies\qquad \underline{\underline{\pmb{\sf{h = 111.80mm}}} }$

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2 years ago