MATHEMATICS HIGH SCHOOL

Sin77*sin88+cos77*cos88**HELP ASAP**

Note: Numbers next to functions are in degrees.

Answers

Answer 1
Answer:

Answer:

\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}

Step-by-step explanation:

To simplify the expression\sf sin(77) * sin(88) + cos(77) * cos(88), we'll use trigonometric identities.

The identity we'll use is the product-to-sum formula for cosine:

\boxed{\sf cos(A - B) = cos(A) * cos(B) + sin(A) * sin(B)}

Now, let A = 77 and B = 88

\sf cos(77 - 88) = cos(77) * cos(88) + sin(77) * sin(88)

Notice that 77 - 88 = -11 degrees.

\sf cos(-11) = cos(77) * cos(88) + sin(77) * sin(88)

Now, we know that cos(-x) = cos(x), so:

\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88)

Finally, since the cosine function is even (cos(x) = cos(-x)), we have:

\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88) = cos(-11)

Therefore:

\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}

See the attachmentfor trigonometric identities formula:

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How many degrees is 15/16pi radians?a. 84.375°
b. 93.75°
c. 168.75°
d. 3377.5°​

Answers

Answer:

192 Degrees

Step-by-step explanation:

I would say c. its the closest

Please help I’m stuck

Answers

Answer: your answer would be c (-12,-24)

Step-by-step explanation:    the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).

I hope this helps you out  stay safe.
C , just multiply by 6 because si getting bigger and the photo is dialated

Solve for m in E=1/2mv²+mgh

Answers

E= (1)/(2) mv^2+mgh\ /\cdot2\n\n2E=mv^2+2mgh\n\n2E=m(v^2+2gh)\ /:(v^2+2gh)\n\nm= (2E)/(v^2+2gh)
E= (1)/(2)mv^2+mgh \ \ / \cdot 2\n \n 2 \cdot (1)/(2)mv^2+ 2\cdotmgh = 2\cdot E\n \n mv^2+2mgh= 2E \n \nm(v ^2+2gh)= 2E \n \n m=(2E)/(v ^2+2gh)

a certain hose delivers 5 gallons of water in 24 seconds, how much water will the hose deliver in 10 minutes

Answers

The hose delivers 5 gallons of water in 24 seconds,
we know that 
1 min=60 seconds
10 min= 600 seconds

5 gallons of water.......................24 seconds
? gallons in ................................600 seconds

let x be the number of gallons of water we need to find out, and we use proportions
x=(5*600)/24=125 gallons 

Can someone answer q3

Answers

Step-by-step explanation:

(2x + 5)/(4) = 9x - 11

2x + 5 = 4(9x - 11)

2x + 5 = 36x - 44

36x - 44 = 2x + 5

36x - 2x = 5 + 44

34x = 49

x = 49/34

Answer:

x=49/34

Step-by-step explanation:

1.) Multiply both sides by 4

(4) 2x+5/4 = 9x-11 (4)

2x+5 = 36x-44

2.) Subtract 2x from both sides

2x+5 = 36x-44

    -2           -2  

5 = 34x-44

3.) Add 44 to both sides

5 = 34x-44

+44      +44

49=34x

4.) Divide by 34

49/34 = 34x/34

x=49/34

Two friends take a drive around the city. When they get home, they look at the odometer and their watches, and determine they traveled 54 miles in 72 minutes. What was their average speed in miles per hour?

Answers

x miles per hour means that  x miles / 60 minutes 
If they traveled 54 miles / 72 minutes, so:
72 minutes - 60 minutes = 12 minutes 
(12)/(60) = 0,2
60 minutes = 1 
12 minutes = 0,2  
1 + 0,2 = 1,2 hour
V = s/t 
v - velocity or speed
s - linear distance traveled 
t - time, so...
 we must divide 54 miles by 1,2 hour = 54:1,2= 45
Now, as we all know...
Their average speed was 45 miles per hour.
the question asks for the speed in miles per hour, so first thing we have to do is convert 72 minutes into hours by dividing by 60: 1.2 hours.
speed = distance / time
speed = 54 miles / 1.2 hours
speed = 45 miles/hour aka miles per hour aka mph
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