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3 years ago

There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer: The teacher will receive 96 pencils

Step-by-step explanation:

1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)

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Suppose that ? Is an angle with csc(?)=-12/5 and ? Is not in the third quadrant. Compute the exact value of Tan(?). You don’t ha

Damm [24]

Answer:

$tan(\theta)=-\frac{5}{\sqrt{119}}$

Step-by-step explanation:

The correct question is

Suppose that ∅ Is an angle with csc(∅)=-12/5 and ∅ Is not in the third quadrant. Compute the exact value of Tan(∅).

∅ Is not in the third quadrant

If csc(∅) is negative the angle lie in the III Quadrant or in the IV Quadrant

∅ Is not in the third quadrant ----> given problem

That means ----> ∅ Is in the fourth quadrant

step 1

Find the value of $sin(\theta)$

we have

$csc(\theta)=-\frac{12}{5}$

we know that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=-\frac{5}{12}$

step 2

Find the value of $cos(\theta)$

we know that

$sin^2(\theta)+cos^2(\theta)=1$

we have

$sin(\theta)=-\frac{5}{12}$

substitute

$(-\frac{5}{12})^2+cos^2(\theta)=1$

$\frac{25}{144}+cos^2(\theta)=1$

$cos^2(\theta)=1-\frac{25}{144}$

$cos^2(\theta)=\frac{119}{144}$

$cos(\theta)=\frac{\sqrt{119}}{12}$ ---> is positive (IV Quadrant)

step 3

Find the value of $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

substitute the values

$tan(\theta)=-\frac{5}{12} : \frac{\sqrt{119}}{12}=-\frac{5}{\sqrt{119}}$

4 0

3 years ago

Pls answer my question

Mariulka [41]

Answer:

hope this helps you

have a great day

4 0

3 years ago

How many times does 18 go into 50

MA_775_DIABLO [31]

18 will go into 50 2.77777777778.

6 0

3 years ago

Read 2 more answers

I need help solving 6*[(32-8)/4+2] apsp

nlexa [21]

Answer:

Step-by-step explanation:

6*[(32-8)/(4+2)]

| |

24 6

6* [24/6]

6*4 = 24

5 0

3 years ago

use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Dimas [21]

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

$\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]$

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

$A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]$

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

$A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]$

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

6 0

3 years ago