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kozerog [31]
3 years ago
5

Points of discontinuity. y = cot x, [0, 2 \[\pi \] ]

Mathematics
1 answer:
Triss [41]3 years ago
5 0
<span>cotx = (cosx)/(sinx)
 Where is this function not defined?
i.e. where is sin(x)=0?
Because at this point, cotx will be undefined because you cannot divide by zero. So find all points from 0 to 2 pi where sinx is 0.</span>
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Rhombus EFGH is shown. What is the measure of ∠HGJ?
MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

3 0
2 years ago
The fastest that a seahorse can travel is 2640 feet per hour.what is its top speed in miles per hour
miv72 [106K]

Answer:

½ mph

Step-by-step explanation:

1 mi. = 5280 ft.

2640⁄5280 = ½

I am joyous to assist you anytime.

4 0
3 years ago
What is the value of In e^4<br> a.0<br> b.1<br> c.2<br> d.4
Zina [86]
\large\begin{array}{l} \textsf{Computing the value of }\mathsf{\ell n (e^4).}\\\\\\ \textsf{Using logarithg properties:}\\\\ \textsf{(logarith of a power)}\\\\ \mathsf{\ell n(e^4)}\\\\ =\mathsf{4\cdot \ell n\,e}\qquad\quad\textsf{(but }\mathsf{\ell n\,e=1}\textsf{)}\\\\ =\mathsf{4\cdot 1}\\\\ =\mathsf{4}\qquad\checkmark\\\\\\\ \textsf{Correct answer: d. 4.} \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2113397


\large\textsf{I hope it helps.}
</span>

Tags: <em>logarithm value compute power property natural log ln</em>

7 0
3 years ago
There is 12 apples 3/4 of he apples go missing how many apples are left
maria [59]
I think the answer might me 34
6 0
2 years ago
Read 2 more answers
Simplify x + 4x + 6x
Olenka [21]

answer:

11x

step-by-step explanation:

  • just add them since they are like terms

x + 4x + 6x

= 11x

3 0
3 years ago
Read 2 more answers
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