Can someone help me on this one

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

Answer    "v = 1.2s"

Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..

Answer:

-2x²+490x+2500

Step-by-step explanation:

Given that,

Demand, D(x) = 500-2x

The price for the product, P(x) = x+5

We need to find the revenue for the product. The formula for the revenue is given by :

Revenue = price × demand

Substitute all the values,

R = (x+5)(500-2x)

= 500x -2x² + 2500 -10x

= -2x²+490x+2500

So, the expression for the revenue function is "-2x²+490x+2500".

Answer:

○ B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Answer:

C

Step-by-step explanation:

3(8+5)=39

3(13)=39

or

3(8)+3(5)=39

Answer:

b. 9

Step-by-step explanation:

if c = 8 and d = - 5

3( c + d)

= 3( 8 + (-5))

= 3 * 3

= 9

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

Answer:

9,160,000 tons

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer:

A) = m

Step-by-step explanation:

3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

Answer:

the answer qould be 4x if you are just simplifying

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

Answer:

86

Step-by-step explanation:

Answer:

64 quarts of maple syrup needed

Step-by-step explanation:

There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables

16 * 2 = 32 quarts of maple syrup

Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.

32 * 2 = 64 quarts of maple syrup needed

Answer:

4 Quarts

Step-by-step explanation:

You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.

There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.

Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.

16÷2=8

The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.

8÷2=4

The owner needs 4 quarts of maple syrup to fill the bottles.

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

I don't know sorry but I recommend using quizlet

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56

Answer:

The population of city A is 6,300,000.

Step-by-step explanation:

1,800,000 × 3[tex]\frac{1}{2}[/tex]

3[tex]\frac{1}{2}[/tex] is equal to 3.5

Plug in 1,800,000 × 3.5 into your calculator

= 6,300,000

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

Answer:

1. half angle

2. x

Step-by-step explanation:

The missing parts of the proof is the variable x.

Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.

Given,

sin² (x) = [1 - cos (2x)] / 2

We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

First, we have

sin² (x) = [1 - cos (2x)] / 2

Substituting x/2 in place of x, we get,

sin² (x/2) = [1 - cos (2x/2)] / 2

sin² (x/2) =  [1 - cos (x)] / 2

sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]

Taking square root on both sides,

sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

Hence it is proved.

Learn more about Trigonometric Functions here :

https://brainly.com/question/6904750

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Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

Answer: 48

Step-by-step explanation:

big square is 64, shaded square is 16

64-16= the unshaded region