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yaroslaw [1]
3 years ago
4

Four students plan to share the cost for ordering pizza. Each student says how much of a whole pizza they want to eat as shown.

Abe=1/2 of a pizza, Becca=2/3 of a pizza, Cam=2/4 of a pizza and Kim 2/6 of a pizza. Abe and Becca only want pepperoni pizza. Cam and Kim only want cheese pizza. Cheese and pepperoni pizzas can only be ordered as whole pizzas. What is the minimum number of whole pizzas they must order so that each student has as much of the kind of pizza they say they want to eat?
Mathematics
1 answer:
aalyn [17]3 years ago
4 0
For pepperoni pizza, Abe wants 1/2, while Becca wants 2/3, which is a total of 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 and 1/6. Therefore at least 2 pepperoni pizzas are needed.
For cheese pizza, Cam was 2/4 = 1/2, while Kim wants 2/6 = 1/3. This is a total of 1/2 + 1/3 = 3/6 + 2/6 = 5/6. Therefore just 1 cheese pizza will be enough.

The total number of pizzas that must be ordered is 2 + 1 = 3.
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What is the angle of BTC, Angle TBC,Angle TCB
Goryan [66]

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

<h3>How to determine the angles of a triangle inscribed in a circle</h3>

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

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2 years ago
Aubrey, a pet store employee, wants to fit two fish tanks on one table. One fish tank is 1/6 of a foot wide and the other fish t
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1/1

Step-by-step explanation:

1/6+5/6 simple adding with fractions its would be 1 foot

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4 years ago
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Veseljchak [2.6K]

Answer:

8 - 8\sqrt{3}

Step-by-step explanation:

For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.

For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is 8\sqrt{3. Since this really can't be simplified after y is subtracted from x, the final answer is just 8 - 8\sqrt{3}.

7 0
3 years ago
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