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KATRIN_1 [288]
3 years ago
15

How do I solve this problem

Mathematics
1 answer:
MrRa [10]3 years ago
4 0
Bisects means that it equally cuts through an angle
79 + 79 is 158
all u have to do now is solve 9x-4=158
x=18
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Samantha has a shelf that is 95/4 inches wide. How many books can Samantha arrange on the shelf if each book is 5/4 inches thick
4vir4ik [10]
Figure this out: 
A shelf that is 94/5 (23.75) inches wide could fit ? many 5/4 (1.25) inch thick books on its platform. 



23.75 divided by 1.25 is 19. (1.25 x 19 = 23.75)
Your answer would be 19 books. You're welcome.
 
5 0
3 years ago
Read 2 more answers
Please solve this question based on integeration chapter
Olenka [21]

Answer:  -ln |cos x| - ln |sin x| + C

<u>Step-by-step explanation:</u>

.\quad \int\dfrac{sin^2x-cos^2x}{sin\ x\ cos\ x}dx\\\\\\=\int \dfrac{sin^2x}{sin\ x\ cos\ x}dx-\int \dfrac{cos^2x}{sin\ x\ cos\ x}dx\\\\\\=\int \dfrac{sin\ x}{cos\ x}dx-\int \dfrac{cos\ x}{sin\ x}dx\\\\\\=\int tan\ x\ dx - \int cot\ x\ dx\\\\=-ln |cos\ x|-ln|sin\ x| + C

5 0
3 years ago
Simplify completely and find the restrictions on the variable.​
MatroZZZ [7]

Answer:

\displaystyle \frac{x + 2}{x + 9}, \ x \neq  -9, \ 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

<u>Algebra II</u>

  • Discontinuities
  • Domain Restrictions

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                           \displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}
  3. [Fraction] Divide:                                                                                              \displaystyle \frac{x + 2}{x + 9}

We know that <em>x</em> cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that <em>x</em> cannot equal 12 because it was canceled out when simplifying.

7 0
3 years ago
Find the volume of the composite solid.
OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

volume \:  \: of \:  \: (pyramid \:  + rectangular \:  \: prism)

volume of pyramid :

=》

\dfrac{l \times b \times h}{3}

=》

\dfrac{4 \times 5 \times 6}{3}

=》

\dfrac{120}{3}

=》

40

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

l \times b \times h

=》

4 \times 5 \times 2

=》

40

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0
3 years ago
Find the surface area of the rectangular prism<br> 4x2x3
Fittoniya [83]

Answer:

52

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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