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Shtirlitz [24]
3 years ago
10

-12.166 divided by (-1.54)

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Step-by-step explanation:

=-12.166/-1.54 [if - is in both numerator and denominator then they are cancled out]

=12.166/1.54

=7.9

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A store donated a percentage of every sale to. The total sales were ​$6.740 so the store donated ​$337. What percent of ​$6,740
Irina-Kira [14]
Answer - 5%

6740=100%
337= x
Criss cross so do 100x337 and then divide by 6740 and you’ll get 5 which you can check by doing 5/100 of 6740
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Jerome has a job that requires a clean shirt every day. It cost $1.25 to have a shirt washed and ironed. What is the cost for cl
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$6.25

Step-by-step explanation:

1.25 x 5 = 6.25

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3 years ago
1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
slava [35]

Step-by-step explanation:

1.

\tan \beta  =  \frac{1}{ \cot \beta }  =  -  \frac{3}{2 \sqrt{10} }  =  -  \frac{3 \sqrt{10} }{20}

\csc \beta  \tan \beta  =  \frac{1}{ \cos \beta  }  =  \sec \beta

Therefore,

\sec \beta  = ( \frac{7}{3} )( -  \frac{3 \sqrt{10} }{20} ) =  -  \frac{7 \sqrt{10} }{20}

2.

\csc y =  \frac{1}{ \sin y}  =  -  \frac{ \sqrt{6} }{2}

=  >  \sin y =  -  \frac{ \sqrt{6} }{3}

Use the identity

\cos y =   \sqrt{1 -  \sin ^{2} y}    \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \\ =  \sqrt{1 -  {( -  \frac{ \sqrt{6} }{3}) }^{2} }  =  -  \frac{ \sqrt{3} }{3}

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

\tan \beta  =  \frac{ \sin y}{ \cos y} =( -  \frac{ \sqrt{6} }{3} )( -  \frac{3}{ \sqrt{3} } ) =  \sqrt{2}

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

\sin x =   \sqrt{1 -  \cos ^{2} x} =  \sqrt{ \frac{11}{6} }

Solving for tan x:

\tan x =  \frac{ \sin x}{ \cos x}  =  (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) =  \frac{ \sqrt{66} }{5}

5 0
3 years ago
What is the lateral surface area of the pyramid?
Delicious77 [7]

Answer:

1,536 square centimeters

Step-by-step explanation:

The formula for the Lateral surface area of the pyramid =

1/2 × perimeter of the square base × slant height

Square base = 32cm

Slant height = 24cm

Perimeter of the square base = (4 × length of the square base side)

4 × 32cm = 128cm

Lateral Surface Area = 1/2 × 128cm × 24cm

= 1,536 square centimeters

6 0
3 years ago
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