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leva [86]
3 years ago
7

Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake

.
Which statements are true about the number of cups of sugar Finn needs?

Select each correct answer.

Finn needs 6 cups of sugar for 4 cakes.

Finn needs 4 cups of sugar for 6 cakes.

Finn needs 1 cup of sugar for 1 1/2 cakes.

Finn needs 1 1/2 cups of sugar for 1 cake.



99 points for the answer

Mathematics
2 answers:
FrozenT [24]3 years ago
5 0

The correct answer is Finn needs 6 cups of sugar for 4 cakes.

Hope this helped!! :)

Serhud [2]3 years ago
3 0

Note that it is proportional. The graph is given to you, in which the line includes all the points that can be answers. Find the point that is also given as a choice, and it is your answer.

Finn needs 6 cups of sugar for 4 cakes. is your answer

Note that it is in (x,y) format, and that y = cups of sugar, and x = cakes

hope this helps

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Help me solve it please
snow_tiger [21]

Answer:

\fbox{\begin{minipage}{5.8 em}x =5.97 cm\end{minipage}}

Step-by-step explanation:

(1) As definition, the area (A) of a circle is calculated by:

A = \pi x r^{2} with r is radius of circle.

(2) The relation between radius (r) and diameter (d_{1}) of a circle is:

d_{1} = 2 x r

(3) Applying the Pythagorean theorem for a square with sides of length x,

the relation between side x and diagonal d_{2} is:

x^{2} +x^{2}  = d^{2} \\or\\2x^{2} = d^{2}

=> The diagonal (d_{2}) of that square is calculated by:

d_{2} = x\sqrt{2}

(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.

Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.

In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.

It means that the diagonal BD is coincide with a diameter of circle.

=> d_{1} = d_{2}

or 2 x r = x\sqrt{2}

or r = x\frac{\sqrt{2} }{2}

Substitute r back into original formula used for calculating the area of circle:

=> A = \pi x (x\frac{\sqrt{2}}{2})^{2} = \pi x \frac{x^{2}}{2}

=> x^{2}  = A x \frac{2}{\pi }

=> x = \sqrt{A} x \sqrt{\frac{2}{\pi } } = \sqrt{56} x \sqrt{\frac{2}{\pi } } = 5.97 cm

Hope this helps!

:)

4 0
3 years ago
Help it’s due today and i haven’t done it since wensday
yawa3891 [41]

Answer:

135

Step-by-step explanation:

:)

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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