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2 years ago

Verify the identity. sin (x+pi/2)=cos x

1 answer:

4 0

Given data
sin (x+pi/2)=cos x
now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

sin (x+pi/2)=cos x

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Last month Jim drove his car 2,718.3 miles. That brought the car’s total mileage to 87,416. What was the car’s mileage before la

stich3 [128]

To solve this problem you must apply the proccedure shown below:

1. You have that Jim drove the car 2,718.3 miles for a total mileage of 87,416.

2. Then, to calculate the mileage before last month, you only need to substract the total mileage given in the exercise above and the mileage drove last month, as following:

$87,416miles-2,718.3miles=84,697.7miles$

Therefore, the answer is: 84,697.7 miles.

3 0

3 years ago

Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

$35x+10y=385$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

7 0

2 years ago

Read 2 more answers

Can anyone help with this quiz???

makvit [3.9K]

The answer is quadrant 2!!!

8 0

2 years ago

Read 2 more answers

Expression. 3(4x + 3)

SVETLANKA909090 [29]

3(4x+3) simplified as an expression is: 12x+9

5 0

2 years ago

Troy’s canoe is 18 feet long. Ariel’s canoe is 5\6 the length of Troy’s canoe.

sukhopar [10]

5/6 = .83333333333333333333333333.... It goes on...
.833333333333333333 * 18 = 15
15 is your answer

Another way you could do it is 18/6 = 3
3+3+3+3+3 = 15

3 being 1/6th of 18 *Hope This Helps...*

6 0

2 years ago