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2 years ago

Find the 2 angles coterminal to 1490 that have the smallest absolute value

Mathematics

1 answer:

tino4ka555 [31]2 years ago

4 0

Check the picture below.

360°+360°+360°+360°+50° = 1490°

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Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining mone

stellarik [79]

Answer: 11.78

Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.

6 0

3 years ago

Read 2 more answers

On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adult

amid [387]

Answer:

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

3 0

3 years ago

The equation of the function is Y=4x+5.Find the value of y when<br> x=3<br> x=-2

natita [175]

The equation of the function is y = 4x + 5. Find the value of y when

x = 3

x = -2

<h3>Given:-</h3>

y = 4x + 5 [Equation]

The value of y when x = 3 , x = -2

<h2>Solution:-</h2>

y = 4x + 5 [Given equation]

$\therefore$ When x = 3 ,

y = 4 × 3 + 5 [Value of x is 3]

y = 12 + 5

<h3>y = 17 [Answer]</h3>

Again, when x = -2 ,

y = 4 × (-2) + 5 [Value of x is -2]

y = -8 + 5

<h3>y = -3 [Answer]</h3>

8 0

3 years ago

The statement the sum of x and 7% of x is at least 30"

tigry1 [53]

Answer:

x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

In consideration of the above, you have ...

x plus 7% of x is at least 30

x + 0.07x ≥ 30 . . . . . using math symbols

5 0

3 years ago

(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

7 0

3 years ago