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kkurt [141]
3 years ago
11

Okay guys I'm not very good at word problems, but here's my question:

Mathematics
1 answer:
allsm [11]3 years ago
8 0

Answer:

54 students

Step-by-step explanation:

331 - 7 = 324

324 divided by 6 = 54

Hope this helps :D

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Determine whether the triangles are similar. If there is sufficient information to determine that the triangles are similar, wri
schepotkina [342]

Answer: The triangles are similar. They are actually exactly the same.

Step-by-step explanation: (Statement) The reason I know these triangles are similar is because I flipped one up and realized they matched just opposite each other. Then I matched them up they were exactly the same

4 0
3 years ago
A snowmobile travels 32 miles in 2 1/3 hours. To the nearest tenth, what was the average speed of the snowmobile?
wolverine [178]
Average speed in general = total distance / total time.

2 1/3 hours = (7/3) hours

Average speed of snowmobile = 32 miles / (7/3) hours = 13.7 mi/hr
6 0
3 years ago
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side
lorasvet [3.4K]

Answer:

Step-by-step explanation:

1.

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

       =cot x (sec²x)²

       =cot x (1+tan²x)²     [ ∵ sec²x=1+tan²x]

       =  cot x(1+ 2 tan²x +tan⁴x)

       =cot x+ 2 cot x tan²x+cot x tan⁴x

        =cot x +2 tan x + tan³x        [ ∵cot x tan x =\frac{ \textrm{tan x }}{\textrm{tan x}} =1]

       =R.H.S

2.

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

 L.H.S =(sin x)(tan x cos x - cot x cos x)

          = sin x tan x cos x - sin x cot x cos x

           =\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}

           = sin²x -cos²x

           =1-cos²x-cos²x

           =1-2 cos²x

           =R.H.S

         

3.

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

         =1+\frac{{sin^2x}}{cos^2x}                       [\textrm{sec x}=\frac{1}{\textrm{cos x}}]

         =1+tan²x                        [\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]

         =sec²x

        =R.H.S

4.

\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}

L.H.S=\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}

       =\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}

      =\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}

     =\frac{\textrm{2sin x}}{sin^2 x}

      = 2 csc x

    = R.H.S

5.

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

        = sec²x-tan²x

        =\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}

        =\frac{1- sin^2x}{cos^2x}

        =\frac{cos^2x}{cos^2x}

        =1

     

       

8 0
3 years ago
What does 8 - d stand for as in, 8 less than d, or d less than 8
Nimfa-mama [501]

Answer:

it means d is less than 8.

Step-by-step explanation:

3 0
2 years ago
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Is -6.175 is an irrational number?
kipiarov [429]
No.

Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
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Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.
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