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AfilCa [17]
3 years ago
9

Verify cos(180+x)=-cosx Please note the 180 is in degrees.

Mathematics
1 answer:
inna [77]3 years ago
5 0
The angle sum identity for cosine says that

\cos(180^\circ+x)=\cos180^\circ\cos x-\sin180^\circ\sin x=-\cos x

because \cos180^\circ=-1 and \sin180^\circ=0.
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PLEASE HELP WITH WORK EXPLAINED (WILL GIVE BRAINLEST)
Inessa05 [86]
Ricks sporting good:

100% - 20% = 80% so the basketball is on sale for 80% of the original price so 24.95 x 0.80 = 19.96 ( sale price)

Sports Expert:
   100% - 25% = 75%
 so the basketball is on sale for 75% of the original price 25.80 x 0.75 = 19.35 (sale price)

19.35 is less than 19.96 so the better deal is from Sports Expert

8 0
4 years ago
William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.
slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = \frac{15}{100}*34

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = \frac{39.10}{4}

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0
3 years ago
Convert 5.82% to an equivalent decimal​
lisov135 [29]

5.82% = 0.0582 in decimal form.

7 0
3 years ago
Read 2 more answers
Jan 258:00:56 AM
horsena [70]

Answer:

The equation of the straight line in point-slope form

                            y - 4 = \frac{7}{9}  (x-0)

The equation of the straight line

                         7x -9y +36 =0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the points (0,4) and (-9,-3)

The slope of the line

         m = \frac{y_{2} - y_{1} }{x_{2}- x_{1}  } = \frac{-3-4}{-9-0} = \frac{7}{9}

<u><em>Step(ii):-</em></u>

    Equation of the straight line passing through the point (0,4) and having slope m = 7/9

          y - y_{1} = m (x-x_{1} )

         y - 4 = \frac{7}{9}  (x-0)

      9 y - 36 = 7x

              9y = 7x + 36

          y = \frac{7x}{9} +\frac{36}{9}

Slope - intercept form  

                            y = \frac{7x}{9} +4

<u><em>Final answer:-</em></u>

The equation of the straight line in point-slope form

                            y - 4 = \frac{7}{9}  (x-0)

The equation of the straight line

                         7x -9y +36 =0

           

   

8 0
3 years ago
the total cost to rent a pontoon boat for h hours can be represented by the expression 30h+65. if brianna can spend a maxium of
Fed [463]

Answer:

4 hours

Step-by-step explanation:

30(4)+65= 185

3 0
4 years ago
Read 2 more answers
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