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Burka [1]
3 years ago
9

Write an equation for the n th term of the arithmetic sequence then find a10 -6,-9,-12,-15

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer: a_{10} = -33

Step-by-step explanation:

-6, -9, -12, -15

The common difference is -3

d = common difference

Arithmetic sequence formula:

a_{n} = a_{1} + (n - 1) d

a_{10} = -6 + (10 - 1) -3

a_{10} = -6 + 9 × -3

a_{10} = -6 - 27

a_{10} = -33

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A local restaurant purchased 45 pounds of flour at a total cost of $38.25 determine the unit cost per pound
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38.25/45= .85
TO CHECK
.85 times 45 equals 38.25
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3 years ago
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Look at the street map. What street intersects with Polk Street?
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Answer:

Geary street :D

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4 0
2 years ago
Please help! ~Find the volume of the triangular prism~
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Answer:

23.04 m^2

Step-by-step explanation:

The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).

The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.

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7 0
3 years ago
Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel
sergij07 [2.7K]

This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel

Kindly find attached the appropriate attachment necessary to solve this question.

The attachment was sourced online

Answer:

a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X

Step-by-step explanation:

From the above question, we are given two shapes: Cone W and Square Pyramid

Cone W: Radius = 8cm, Height = 5cm

Volume of a Cone = 1/3 πr²h

Where π = 3.14

Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

Volume = 1/3 × Base Area × Height

Base Area of Cone W = Base Area of square pyramid X = πr²

Where π = 3.14

Base area = 3.14 × 8² = 200.96cm²

Height of Square pyramid X = Height of Cone W = 5cm

Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.

Option a, is the correct answer.

4 0
3 years ago
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Answer:

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There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

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3 years ago
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