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TEA [102]
3 years ago
8

Break up the denominator and write the product of two fractions see image belows

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

9514 1404 393

Answer:

  1/sec(x) · 1/tan(x)

Step-by-step explanation:

The breakup can be accomplished any of several ways.

  \dfrac{1}{\sec(x)\tan(x)}=\dfrac{1}{\sec(x)}\times\dfrac{1}{\tan(x)}=\dfrac{\cos(x)}{1}\times\dfrac{\cos(x)}{\sin(x)}

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Given the inequality below:<br><br> 3x-y&gt;4<br><br> Which is the graph of the solution set?
OLga [1]

Answer:

A shaded region below a dashed line (y <3x-4)

Step-by-step explanation:

For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.

Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.

In this case what we have here is an open region, as the graph below shows.

3x-y>4 =-y>4-3x∴y<3x-4

Setting a value for x

3x-4=0

3x=4

3x/3=4/3

x=4/3 (slope)

(4/3,0)

6 0
4 years ago
Corinna has $88. She wants to buy a $275 plane ticket. She will save up her earnings from working at the museum where she earns
m_a_m_a [10]

Answer:

275 = 17x + 88 \\ - 88 = 17x - 88 \\ 187 = 17x \\ 187 \div 17 \\ x = 11 \: hours

8 0
3 years ago
Write the equation of a line in slope intercept form that has a slope of -½ and contains (4, –5)
evablogger [386]

Answer:

Step-by-step explanation:

y + 5 = -1/2(x - 4)

y + 5 = -1/2x + 2

y = -1/2x - 3

6 0
3 years ago
A swimming pool has a length of 25 ft, a width of 15 fr, and a depth of 4 ft. What is the volume of the water in this pool when
timofeeve [1]

Answer:

1312.5 cubic feet

Step-by-step explanation:

Let the swimming pool be a rectangular prism

The volume of a rectangular prism is:

Volume = length * width * depth

Length = 25 (given)

Width = 15 (given)

The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is

4 - 1/2 = 3.5 feet

So, we can say

Depth = 3.5 (found)

Hence, the volume would be:

Volume = 25 * 15 * 3.5 = 1312.5 cubic feet

8 0
3 years ago
What is the estimate 5% of 59
fomenos
3 is roughly 5% of 59

hope this helps
3 0
3 years ago
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