3 years ago

What is the maximum value of Sinx+cosx

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

The answer is 2 since both

$\sin(x),\cos(x)\in[0,1]$

The maximum value of $\sin(x)$ is 1 and the same for cosine. The sum becomes 1 + 1 which evaluates to 2.

Hope this helps.

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What is the area of a rectangle with a length of 9 and a width of 17?

ikadub [295]

Answer:

153 units squared

Step-by-step explanation:

To solve, multiply your length by your width.

$A=lw\\A=9(17)\\A=153$

5 0

3 years ago

Read 2 more answers

For the equation, complete the solution. 8x + y = −7 <br> (x, y) = , 1

butalik [34]

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

8x + y = −7

for y = 1

8x + 1 = -7

subtract 1 from boh sides

8x = -8

divide bot sides by 8

x = -1

(x, y) = (-1, 1)

7 0

2 years ago

Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.

ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0

2 years ago

Please help!! Write in simplest radical form: √7/8 Show how you figured it out

12345 [234]

Given expression: $\sqrt{\frac{7}{8}}$ .

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt{7}}{\sqrt{8}}$

$\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}$

$\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}$

$=\frac{\sqrt{14}}{4}$

$=\frac{\sqrt{14}}{4}$ .

3 0

3 years ago

Find the measure of the hands of a clock at 12:38

Vinvika [58]

I would say 12 hours and 38 min

8 0

3 years ago