simplify this please

Answer:

Step-by-step explanation:

Opposite angles are supplementary:

Find x:

Find D:

Find B:

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:

the first option

Step-by-step explanation:

equilateral triangles are also equiangular which means each of the three angles is 60°

but you can have an acute triangle with angle measures that are all acute (for example, 59°, 85°, and 36°) that is not equilateral

Answer:

12.5 !!!!

Step-by-step explanation:

Answer:10

Step-by-step explanation:

In fraction,

(1/100)^(-1/2)

Equivalent to 1/((1/100)^(1/2))

Power 1/2 is basically square root

So we have 1/(1/10) after applying square root to 1/100

so final step

1 divide (1/10) = 10

Answer:

2/3+2/3=4/3 or 1 1/3

Step-by-step explanation:

I figured it out!!

it should be greater than. the reasoning for this is if you equally split a rectangle into 3 pieces and then also split the same sized rectangle into equal pieces then which pieces would be bigger? the Rectanhle that is split into 3! this is because you have less pieces to split the rectangle into so the less you have too split the rectangle to larger the pieces are!!

Answer:

2/3+2/3 is greater than 1 1/4, so Edward does not have enough oil

Step-by-step explanation:

2/3+2/3=4/3, or 1 1/3

So now it's is 1 1/3 greater than or less than 1 1/4, which is just a matter of if 1/3 is greater than 1/4. 1/3 is 0.33 repeating, and 1/4 is 0.25, so 1/3 is greater than 1/4

1 1/4 is the amount of oil he has, and 1 1/3 is the amount required, which is more than he has so therefore he can't make 2 batches

Answer: -15

Step-by-step explanation:

f(-8) is the value of y / f(x) when x = -8 in the function f(x)

f(-8) = -5

g(4) is the value of y / f(x) when x = 4 in the function g(x)

g(4) = 5

-1 * f(-8) - 4 * g(4)

Substitute -5 for f(-8) and 5 for g(4)

-1 * -5 - 4 * 5 (evaluate, note: remember order of operations)

5 - 4 * 5

5 - 20

-15

Answer:91 years

Step-by-step explanation:

Answer:

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

Step-by-step explanation:

Given [missing from the question].

The dimensions are:

Length =(x + 6), Width = (x - 2) and Height = (x -1)

Required

Represent the volume as a polynomial

Volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

So:

[tex]Volume = (x + 6) * (x - 2) * (x - 1)[/tex]

Expand

[tex]Volume = (x + 6) * (x^2 -2x -x +2)[/tex]

[tex]Volume = (x + 6) * (x^2 -3x +2)[/tex]

Expand

[tex]Volume = x^3 -3x^2 +2x +6x^2-18x +12[/tex]

Collect like terms

[tex]Volume = x^3 -3x^2+6x^2 +2x -18x +12[/tex]

[tex]Volume = x^3 +3x^2 -16x +12[/tex]

Answer: B

About half of her students plan to take time off this summer.

Step-by-step explanation:

The generalization that can be made by the piano teacher is about half of her students plan to take time off this summer.

A survey is when a particular group of people are asked about their preferences or opinion on a particular subject matter. The piano teacher asked students from the classes on Monday through to Saturday if they would take time off.

The result was that 50% of the students would take time off. Thus, it can be generalized that about half of her students plan to take time off this summer.

To learn more about probability, please check: brainly.com/question/11234923

#SPJ2

Answer:

Step-by-step explanation:

x=1.6w and 2w+2x=34.

Simply substitute for x in the perimeter equation, and solve for w. Now compute x.

Answer:

u will have a 100 meaning a A+

Step-by-step explanation:

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

Answer:

y=x/2 (x divided by 2)

Step-by-step explanation:

2/1=1,4/2=2,8/2=4,10/2=5,16/2=8

ANSWER:

= 158 square inches

STEP BY STEP:

okay! so basically I like to ignore the net figure (just my personal opinion)

so we know that the rectangular prism has six sides (one top, one bottom, one front, one back, and two on each side)

so using that information, we can solve for the surface area!

FRONT AND BACK AREA:

- to solve for this area, we are going to take the 8" and multiply it by 5" to find the surface area of the front and the back panels

8*5 = 40 BUT WE HAVE TWO PANELS WITH THIS AREA

40*2 = 80

TOP AND BOTTOM AREA:

- to solve for this area, we are going to take 3" and multiply it by 8" to find the surface area of the top and bottom panels

3*8 = 24 BUT WE HAVE TWO PANELS WITH THIS AREA

24*2 = 48

SIDE AREA:

- to solve for this area, we are going to take 3" and multiply it by 5" to find the surface area of both the left and right sides

3*5 = 15 BUT WE HAVE TWO PANELS WITH THIS AREA

15*2 = 30

So now we have all of our areas and we will just add them together!

80+48+30

= 158 square inches

I hope this helped :)

Answer:

158

Step-by-step explanation:

its the right answer trust me I just can't be asked to explain it

5

Step-by-step explanation:

5 because if you need them between and they need to be smaller it would be 5

Answer:

The length must be less than 20, and greater than 6.

6 < L < 20

Answer:

13

Step-by-step explanation:

2(5) = 10, +3 = 13 years old,, just use order of operations and plug in jillians age for the x

Answer:

7

Step-by-step explanation:

2x2 = 4+3=7 so her brother is 7

These points can be described the following double inequality:  -3≤x≤13.

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, ≤, > and ≥.

When the variable x is between the both extremes, the inequality will be called double inequality. Therefore, the double inequality can be written in the form below .

As the interval is represented by a closed dot, your interval inequality must be represented by signs ≤ or ≥.

Thus, the points of this question can be described as: -3≤x≤13.

Read more about the double inequality here:

https://brainly.com/question/13707794

Answer: y-int is 0, 250, slope is -1/3

Step-by-step explanation:

Answer:

Question 1:  70 mins

Question 2: R

Step-by-step explanation:

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Answer:

X=9

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

5a+12b+30c

5(3)+12(2)+30(1)

15+24+30

39+30

69

Hoped this helps!

9514 1404 393

Answer:

  yes, it is a function

Step-by-step explanation:

A graph represents a functional relationship if no vertical line intersects the graph in more than one point. A horizontal line passes this "vertical line test," so represents a function.

Answer:

Step-by-step explanation:

Answer:

s=5c+20

Step-by-step explanation:

hope this helps