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2 years ago

The graph of y = cosine (x + pi/2) is the graph of the y = cos(x) shifted in which direction?

Mathematics

2 answers:

kap26 [50]2 years ago

5 0

Answer:

pi/2 units to the left

Step-by-step explanation:

Kono Dio Da!!!!

Viktor [21]2 years ago

3 0

Answer:

pi/2 units left

Step-by-step explanation:

f(x + c) is obtained by shifting the graph of f(x) c units towards left

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Original price:30 End price:45

oksian1 [2.3K]

Profit=15

Because-

45-30=15

3 0

3 years ago

Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

2 years ago

Which word describes the slope of the line? positive negative zero undefined

Sophie [7]

Answer:

Negative slope

Step-by-step explanation:

It is negative.

8 0

1 year ago

(18 months). hi I'm gothy and I just needed help with this problem. you don't have to include the answer but I'd appreciate it

natulia [17]

Answer:

$93.68

Step-by-step explanation:

Price of computer:

$1486.25

Warranty

$199.99

Total

$1486.25 + $199.99 = $1686.24

Payment per month:

$1686.24/ 18 = $93.68

8 0

3 years ago

An appliance company uses the function f

inessss [21]

Fh. = 40h + 120, fh. = $200

200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h

h = 2 hours.

7 0

3 years ago