Which statement is true about the given function?
fx) > 0 over the interval (-0,3).
f(x) > 0 over the interval (-:-).
f(x) <0 over the interval (-0,3).
f(x) <0 over the interval (- : -).

Answer:

B. 240

Step-by-step explanation:

We are given an equilateral triangle. By definition, each angle of this triangle is equal to 60 degrees and the sides are all congruent.

We would like to rotate the triangle clockwise so that A maps exactly onto C. Since the internal angles are 60 degrees, when we turn the triangle one time to the right so that B is now at the top, we have rotated the entire figure 60 degrees.

Already, A is actually on C; however, none of the answer choices matches 60 degrees, so we realise that we want a multiple of 60 that will still ensure our triangle maps A to C. We notice that if we rotate the triangle three more times after that first rotation (so that's another 60 degrees, 60 degrees, and 60 degrees), we will obtain a position that is exactly what we want: A is on C!

Thus, the number of angles is 60 + 60 + 60 + 60 = 240.

The answer is B.

~ an aesthetics lover

Answer:

240

Step-by-step explanation:

Since this is an equilateral triangle, we can divide the circle into 3 pieces and the figure will look the same

360/3 = 120

Every rotation of 120, and the figure is identical

120, 240 ,360 will give an identical figure

Since we need to move point A to C we can move it 240 counterclockwise and point A will be at point C

Answer:

Step-by-step explanation:

Answer:

1. B

2.B

3. B

4. B

Step-by-step explanation:

Answer:

S(t) = 2 - 0.25 t

Step-by-step explanation:

i am not explaining :> (me being lazy)

Answer:

y ≥ x - 2

Step-by-step explanation:

I'm pretty sure this will be the answer, a thanks a rating of a 5 star would be helpful :)

The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥  x - 2

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is an inequality, with the boundary line y = x-2

A solid line, and the shaded part is above the line.

y ≥  x - 2

Hence, The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥  x - 2

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Answer:

24.

Step-by-step explanation:

To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:

1234

1324

1432

1342

1243

1423

See? There are 6. You can do the same with these:

2341

2413

2314

2143

2134

2134

These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.

Answer:

65 degrees

Step-by-step explanation:

65 degrees

it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees

Answer:

115

Step-by-step explanation:

The total circle is 360 degrees.  The sum of the arcs of the circle is 360

Arc DC = 360 - Arc CB - Arc BC

DC = 360 -30-100

DC =230

Inscribed Angle =1/2 Intercepted Arc

<DBC = 1/2 CD

<DBC = 1/2 (230)

           = 115

Answer:

Step-by-step explanation:

P = 2w + 2l

l = 2w

48 = 2w + 2×2w

48 = 2w + 4w

48 = 6w

w = 48 : 6

w = 8 inches

l = 2w

l = 2×8inches

l = 16 inches

A = w×l

= 8in × 16in

= 128 inches²

Answer:

True

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

Vertical Angles are the angles opposite each other when two lines cross.

Any intersecting segments (chords or not) form a pair of congruent, vertical angles.

Answer:

5

Step-by-step explanation:

Answer:  

1.) The sum of 12 and x   12 + x   or   x + 12

2.) The product of 25 and p     25 × p    or  25p

3.) 24 increased by twice a number z    24 + 2z     or  2z + 24

4.) The quotient of a number x and 4   x ÷ 4 .  or   x/4

5.) 6 less than a number x     x - 6

6.) One-half of n squared       n² ÷ 2     or    n²/2    

Step-by-step explanation:  In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math.  As you advance into Algebra, the ÷ and × are rarely used in favor of  /  or fraction form like   [tex]\frac{x}{4}[/tex] and  [tex]\frac{x^{2} }{2}[/tex]  for division.  Parentheses replace × for multiplication, for example  (25)(p)=25p   to avoid confusion with x, commonly used as an unknown or variable.

Answer: (C) 9

Step-by-step explanation:

F+V-E = 2

F + 14 - 21 = 2

F = 9

Answer:170

Step-by-step explanation:

122+24+24=170

Answer:

The answer is 19

Step-by-step explanation:

I am not good at explainig at all and im not sure how to explain but I had this question

Cecilia is 19 m behind the Arman.

Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.

As arman crossed finish line Cecilia is at  = 90% of run covered by babken, 
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19

Thus, Cecilia is 19 m behind the Arman.

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Answer:

The area of a triangle is base * height / 2. In this case that is:

3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²

Answer:

3x-6 inches^2

Step-by-step explanation:

[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]

Answer:

y = 1/5x +7

Step-by-step explanation:

The equation of a line is given by

y = mx+b where m is the slope and b is the y intercept

y =1/5 x + b

Substitute the point into the equation

5 = 1/5 (-10) +b

5 = -2 +b

Add 2 to each side

7 = b

y = 1/5x +7

Answer:

L: y= -4x + 17

Step-by-step explanation:

For a line L to pass through two points, we use the slope formula to calculate the slope, m, where

m = (y2-y1) / (x2-x1)

= (9-1) / (2-4)

= 8 / -2

= -4

Next we use the point slope form to find the line equation:

L: (y-y1) = m (x-x1)

substitute (x1,y1) = (4,1)

L: y-1 = -4 (x-4)

Simplify:

L: y = -4x + 16 + 1

L: y= -4x + 17

Check: substitute (4,1)

y = -4(4)+17 = 1  checks

substitute (2,9)

y = -4(2)+17 = 9 checks

so

L: y= -4x + 17

Answer:

y is equal to 5 and x is equal to 11

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

C) 15.250

Step-by-step explanation:

[tex]Hypotenuse = 28\\Adjacent = y\\\alpha = 57\\Using -SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 57 = \frac{y}{28} \\0.5446 = \frac{y}{28} \\y = 0.5446 \times 28\\y = 15.2488\\y = 15.25[/tex]

Answer:

2) 49.5°

Step-by-step explanation:

From the above diagram, we are asked to calculate the measure of ∠C.

The formula to be used for this calculation is given as:

∠C = 1/2 (Far Arc - Near Arc)

∠BAD = 127° = Far Arc

∠EAF = 28° = Near Arc

The measure of ∠C = 1/2 (BAD - EAF)

= 1/2 ( 127° - 28°)

= 1/2 × 99°

measure of ∠C = 49.5°

Answer:

49.5

Step-by-step explanation:I took the test

Answer:

3) (x – 2)^2 + (y + 1)^2 = 16

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center, and r is the radius.

From the graph, we see the center is at (2, -1), so h = 2, and h = -1.

The radius is 4, so r = 4.

The equation is

(x - 2)^2 + (h - (-1))^2 = 4^2

(x - 2)^2 + (h + 1)^2 = 16

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

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Answer:

Step-by-step explanation:

Given,

R = 8 m

H = 15 m

Slant height :

[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]

[tex] = \sqrt{64 + 225} [/tex]

[tex] = \sqrt{289} [/tex]

[tex] = \sqrt{ {(17)}^{2} } [/tex]

[tex] = 17 \: m[/tex]

Now, Finding the surface area of the cone:

[tex]\pi \: r(r + s)[/tex]

Plugging the values:

[tex] = \pi \: \times 8(8 + 17)[/tex]

[tex] = 8\pi \: \times 25[/tex]

[tex] = 200 \: \pi[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Option (2)

Step-by-step explanation:

This question is incomplete; find the picture attached which makes this question complete.

Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).

Length of AB = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]

     = [tex]\sqrt{16+9}[/tex]

     = 5 units

Since AB = AC

AC = 5 units

Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]

BC = [tex]\sqrt{10}[/tex] units

Therefore, perimeter of the given triangle = AB + AC + BC

                                                                      = 5 + 5 + √10

                                                                      = (10 + √10) units

Option (2) will be the answer.

Answer:

b

Step-by-step explanation:

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

Answer:

The cross-section of the rectangular prism is a:

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Answer:

0.1875

Step-by-step explanation:

The geometric sequence is going down by 3/4 so just continue it on down

Hope this helps, though put some thought into it