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N76 [4]
3 years ago
14

Simpfy 4 1/2+ 1 3/5 help

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

4 1/2 + 1 3/5 = 6 1/10 or 61/10

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Select the solutions of the equation. <br> 2x2-3x-5=0
meriva

Using the Quadratic formula

your answer would be A and C

5 0
3 years ago
Read 2 more answers
Sam found that 25% of the 236 patients he saw in a week were near-sighted. How many of the patients Sam saw were near-sighted?Sa
iris [78.8K]

Answer:

59 patients

Step-by-step explanation:

Total patients Sam saw in a week = 236

Percentage of patients near-sighted = 25%

How many of the patients Sam saw were near-sighted?

Number of patients near-sighted = 25% of 236

= 25/100 × 236

= 0.25 × 236

= 59

Number of patients near-sighted = 59 patients

The number of patients Sam saw in a week that were near-sighted is 59 patients

7 0
3 years ago
Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe
9966 [12]
Answer:  117.6° ;  32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.   
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1:  m∡1 = (8x) ;

Angle 2:  m∡2 = (2x + 3) ;

Angle 3:  m∡3 = 30.
______________________________________
We are asked to find:  "m∡1"  and " m∡2" .
______________________________________
Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
________________________________________
   So, " m∡1 + m∡2 + m∡3 = 180 " . 
________________________________________
Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation;  then solve for "x" ;  then substitute that solved value for "x" into the given expressions for BOTH  "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ; 
___________________________________________
 
                m∡1 + m∡2 + m∡3 = 180  ; 
___________________________________________
             8x + (2x + 3) + 30 = 180 ;
___________________________________________
             8x + 2x + 3 + 30 = 180 ;
___________________________________________
  Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
            +8x + 2x = +10x ;
___________________________________________
              +3 + 30 = +33 ; 
___________________________________________
  Rewrite the entire equation, as:
___________________________________________
         10x + 33 = 180 ; 
___________________________________________
 Now, subtract "33" from EACH SIDE of the equation:
___________________________________________
         10x + 33 − 33 = 180 −<span> 33 ;
___________________________________________
 to get:
___________________________________________
         10x    =   147 ;  
____________________________________________
   Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" : 
____________________________________________
         10x / 10 = 147 / 10 ; 
____________________________________________
   to get: 
____________________________________________
              x = 14.7 ;
___________________________________________
    Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m</span>∡1" and "m∡2";  as follows:
________________________________________________

Angle 1:  "(8x)" = 8*(14.7) =  117.6° ; 
________________________________________________
Angle 2:  "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question:   117.6° ;  32.4° .
<span>____________________________________</span><span>
 Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m</span>∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
   m∡1  +  m∡2  +  m∡3 = 180 ; 
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
______________________________________________
   → 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
   → 117.6 + 32.4 = 150  ;   → 150 + 30 =? 180 ?  Yes!
______________________________________________
4 0
3 years ago
What is an equation of the line that passes through the point (2, 4 and is perpendicular to the line whose equation is 3y = 6x 3
Maru [420]
Perpendicular line always have slopes that are negative reciprocals of one another.  Mathematically,

m1*m2=-1

So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...

3y=6x ?3 (not sure what you wanted to type there)

anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.

So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:

y=-x/2 +b, we can now you the point given to solve for b

4=-2/2 +b

4=-1+b

b=5 so

y=-x/2 +5 or more neatly

y=(10-x)/2
3 0
3 years ago
How to prove this using trig identities?
Pavlova-9 [17]

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

                        = (1/cosB)(1/sinB)

 

                        = (secB)(cscB)

7 0
3 years ago
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