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german
3 years ago
8

At an opening of a new art gallery called Zayrelyn's, the owner hired Jarone as caterer to serve light snacks. The owner created

a budget for 100 people to attend the opening, with a per person food cost of $3.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?
Mathematics
1 answer:
stira [4]3 years ago
7 0
5.07

Explaination: math is Repetitive
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The sum of three consecutive integers is forty -two. find the three numbers
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Answer:

13, 14, 15 right?

Step-by-step explanation:

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Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
  2. \overline{AB} \cong \overline{BC} (tangents drawn from a common external point are congruent)
  3. \angle BAO \cong \angle BCO (right angles are congruent)

Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

7 0
1 year ago
What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
Fraction has a fraction in the<br> numerator, denominator, or both
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A fraction is numerator over denominator, most of the time whole numbers
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3 years ago
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