According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take

Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where

Step-by-step explanation:

3 0

3 years ago

Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been

koban [17]

Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

1 dime = 10 cents

1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47 Eqn 1

10x+25y=950 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480$

Dividing both sides by 15

$\frac{15y}{15}=\frac{480}{15}\\y=32$

Putting y=32 in Eqn 1

$x+32=47\\x=47-32\\x=15$

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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7 0

3 years ago

on field day, 1/10 of the students in Mrs. Brown's class competes in jumping events, 3/5 of the student competes in running even

hjlf

1/10 + 1/10 = 2/10
10 / 5 = 2
3/5 = 6/10
2/10 + 6/10 = 8/10
10/10 - 8/10= 2/10

6 0

3 years ago

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