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3 years ago

How much degrees is 1/360

Mathematics

1 answer:

Kisachek [45]3 years ago

7 0

Answer:

90 degrees

Step-by-step explanation:

A circle has 360 degrees. One degree of a circle, therefore, is 1/360. 1/4 of a circle would equal 90 degrees (1/4 of 360 = 90).

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

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3 years ago

What is the surface area of the rectangular pyramid below?

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2 years ago

If there are 3 line, the 1st and 2nd line are parallel to each other, the third line are parallel to the 2nd line, does that mea

Semenov [28]

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2 years ago

Write the slope-intercept form of the equation of the line that is parallel to and passes through Point X. Show all work for ful

ycow [4]

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3 years ago

Read 2 more answers

Zara has forgotten her 4-digit PIN code. She knows the first digit is a prime number and the 4 digits make a number divisible by

vredina [299]

Answer:

2,500 different sets

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Let 4-digit PIN code be WXYZ

As first digit is a prime number

So, W = 1, 2, 3, 5, 7

n(W) = 5

X and Y are number from 0 - 9

So, n(X) = 10 & n(Y) = 10

Z makes the whole number divisible by 2.

So, Z must even number

So, Z = 0,2,4,6,8 or n(Z) = 5

We can calculate the number of different sets by using following formula,

n(W) × n(X) × n(Y) × n(Z)

By putting the value, we get

5 × 10 × 10 × 5 = 2,500

6 0

3 years ago