Given data
<span>sin (x+pi/2)=cos x
</span>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
<span>sin (x+pi/2)=cos x</span>
Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Answer:
392
Step-by-step explanation:
3 rectangular faces
7 x 16 = 112
7 x 16 = 112
7 x 16 = 112
2 triangular faces
1/2 x 7 x 8 = 28
1/2 x 7 x 8 = 28
Total surface area:
112 + 112 + 112 + 28 + 28 = 392
Answer:
28%
Step-by-step explanation:
We get 30% off the original price
The new price is (100-30) = 70$ of the original price
Let x = the original price
The new price is .7x
Now get get an additional 60% off. We pay (100-60) = 40 percent of the price
Take .7x * .4
The new price is .7*.4 x
.28x
This is 28 percent of the original price x
Answer:
to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
