In a hexagon, all but one of the angles have a measure of 110. What is the measure of the remaining angle?

Answer:

-16

Step-by-step explanation:

13+(-29) = 13-29  = -16

Answer: -16

Step-by-step explanation:

Try Subtracting 13 from positive 29. This will help you out!

Answer:A) n=-6

Step-by-step explanation:

Answer:

n = -6

Step-by-step explanation:

3n + 14 = -4

Subtract 14 from both sides

3n = -18

Divide both sides by 3

n = -6

Answer: A large cube consists of smaller cubes. The more small cubes, the greater the large cube.

Step-by-step explanation:

Answer: 2.66 hours

Step-by-step explanation:

Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.

Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.

Together in 1 hour they can paint 1/8 + 1/4 = 3/8

Total hours for painting is 3/8 or 2.66 hours

The answer is:

The will paint the same fence at the same time in 2.67 hours.

From the statement we know that Shawna can paint a fence in 8 hours while Kevin can paint the same in 4 hours, and we are asked to calculate how long will it take them to paint the fence working together, so, calculating we have:

For Shawna, we have:

[tex]ShawnaRate=\frac{FencePainted}{TimeToPaint}\\\\ShawnaRate=\frac{1fence}{8hours}[/tex]

For Kevin, we have:

[tex]KevinRate=\frac{FencePainted}{TimeToPaint}\\\\KevinRate=\frac{1fence}{4hours}[/tex]

So, the combined work for both Shawna and Kevin will be:

[tex]CombinedWorkRate=\frac{1fence}{8hours} +\frac{1fence}{4hours}\\\\CombinedWorkRate=\frac{4fence.hours+8fence.hours}{32hours^{2}}\\ \\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}\\\\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}=\frac{3fence}{8hours}[/tex]

Now, if the want to paint the same fence at the same time, we can calculate it by the following way:

[tex]\frac{3fence}{8hours}=\frac{1fence}{x(hours)}\\\\x=1fence*\frac{8hours}{3fence}=2.67hours[/tex]

Hence, the will paint the same fence at the same time in 2.67 hours.

Have a nice day!

Answer:

L=4a which means a = 36/4 = 9

The other vertices could be: (12, 5), (3, 14), (12, 14)

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

2/4 = 0.5

Answer:

well its not 1 cuz i got it wrong

Step-by-step explanation:

let me know in the comments

Answer:

(−5, 8), (5, 8)

d = 10

(−2, −9), (−2, 4)

d = 13

(−12, −4), (−6, −4)

d = 6

Step-by-step explanation:

Answer:

(−5, 8), (5, 8)

d = 10

(−2, −9), (−2, 4)

d = 13

(−12, −4), (−6, −4)

d = 6

Step-by-step explanation:

The question is not perfectly clear, but I assume you're asking something like this:

in a rectangle, the area is given by [tex]A=wl[/tex]

where A is the area, w is the width and l is the length.

So, if we know that the width is 7 and we let x be the length of the rectangle, we have

[tex]A=7x[/tex]

If you need to solve this for x, divide both sides by 7:

[tex]x=\dfrac{A}{7}[/tex]

The length of a rectangular computer screen can be determined by the equation x = A / 7.

To find the length of a rectangular computer screen given its area (A) and width (7 inches), you can use the formula for the area of a rectangle:

Area = Length × Width

Given:

Area = A square inches

Width = 7 inches

We need to find the length, denoted by x. By rearranging the area formula, we get:

x = Area / Width

Substitute the given values:

x = A / 7

Therefore, the length of the computer screen in inches can be found using the equation x = A / 7.

Answer:

[tex]V=1,800\pi\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=10\ units[/tex]

[tex]h=18\ units[/tex]

substitute

[tex]V=\pi (10)^{2}(18)[/tex]

[tex]V=1,800\pi\ units^{3}[/tex]

Answer:

What are the options?

Answer:

Step-by-step explanation:

A) The equation for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]

As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.

Now we can plug our value into the equation

[tex]V=\frac{4}{3} \pi (1.5)^{3}[/tex]

This would simplify to

V = 14.12716694 [tex] in^{3}[/tex]

B) The equation for the volume of a cylinder is [tex]V=d\pi h[/tex]

As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches

Now we can plug in our values into the equation

[tex]V = (3)(9)\pi[/tex]

This would mean that this equation would simplify to

[tex]V = [/tex] 27\pi [tex]in^{3}[/tex]

C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls

This would mean that the equation would look like this

[tex](27\pi)-(3(\frac{4}{3} \pi (1.5)^{3})) [/tex]

This would simplify to

42.41150082 [tex]in^{3}[/tex] of empty space.

Answer:

Step-by-step explanation:

Givens

First, we find the volum of each tennis ball.

Notice that they have spherical form, so their volume is defined by

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Where [tex]r=\frac{d}{2}=\frac{3 in }{2}=1.5in[/tex]

Replacing the radius and using [tex]\pi \approx 3.14[/tex], we have

[tex]V=\frac{4}{3}(3.14)(1.5in)^{3}=14.13 \ in^{3}[/tex]

Therefore, the volume of each tennis vall is 14.13 cubic inches, approximately.

Assuming that the diameter of each ball is congruent with the diameter of the can, we have the volume of a cylinder defined by

[tex]V=\pi r^{2}h[/tex]

Where, [tex]r=1.5in[/tex] and [tex]h= 3(3in)=9in[/tex], because each can has three balls, and the height is the sum of all three diameters.

Replacing, we have

[tex]V=3.14(1.5in)^{2} (9in)=63.59 in^{3}[/tex]

Therefore, the volume of each can is 63.59 cubic inches, approximately.

Now, notice that between the can and the tennis balls thereis empty space, because balls are spherical and cans are cylindric.

Let's find the difference between their volumes:

[tex]V_{empy}=63.59-14.13= 49.46 in^{3}[/tex]

Therefore, there are 49.46 cubic inches of empty space between the tennis balls and the cans.

I set up an equal proportion [tex]\frac{100}{0.25} = \frac{80}{x}[/tex]

cross multiply to get 80 * 0.25 = 100x

20 = 100x; divide both sides by 100

0.2 = x so the answer is choice B

Answer:

B. 0.2 meters.

Step-by-step explanation:

Let x represent meters of spring stretched by 80 newtons.

We have been given that a force of 100 newtons will stretch a spring 0.25 meters.

We will use Hooke's law, which states that the force needed to compress or extend a spring is directly proportional to the distance we stretch it.[tex]N=kx[/tex], where,

N = Force in Newtons,

k = The spring constant,

x = Amount of extension in meters.

Let us find spring constant by substituting [tex]N=100[/tex] and [tex]x=0.25[/tex].

[tex]100=k*0.25[/tex]

[tex]\frac{100}{0.25}=\frac{k*0.25}{0.25}[/tex]

[tex]400=k[/tex]

So, our equation would be [tex]N=400x[/tex].

Now, we will substitute [tex]N=80[/tex] in our equation to find x.

[tex]80=400x[/tex]

Upon dividing both sides of our equation by 400 we will get,

[tex]\frac{80}{400}=\frac{400x}{400}[/tex]

[tex]\frac{1}{5}=x[/tex]

[tex]0.2=x[/tex]

Therefore, the force of 80 newtons will stretch the spring 0.2 meters and option B is the correct choice.

27 multiplied by 8 is 216 so she would need a total of 216 cans. If each of the 23 students brings nine cans (multiple 23 by 9) then she has a total of 207. The difference is 9... so she needs 9 more cans

Answer:

Final answer is Volume = 60 cubic centimeters.

Step-by-step explanation:

Given that area of the base of the given picture = 10 square centimeters.

Given that height of the given picture = 6 centimeters.

Now we need to find the volume of the given solid.

So we just need to multiply the base area with the height to get the volume.

Volume = (Area of base) ( height)

Volume = (10 square centimeters) ( 6 centimeters)

Volume = 60 cubic centimeters

Hence final answer is Volume = 60 cubic centimeters.

Answer:

m∠BPD = 120

mBC + mAD = 120°

Step-by-step explanation:

according to intersecting chord theorem: The measure of the angle formed by two chords  that intersect inside the circle is [tex]\frac{1}{2}[/tex] the sum of the chords' intercepted arcs.

m∠BPD = [tex]\frac{1}{2}[/tex] (M∠BD + M∠CA)

             = [tex]\frac{1}{2}[/tex]  (70 + 170)

             =  [tex]\frac{1}{2}[/tex] (240)

m∠BPD = 120

We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°

mBC + mAD = 360 - ( 70 + 170 )

                     = 360 - 240

mBC + mAD = 120°

Answer:

0.36

Step-by-step explanation:

Percentage of boys = 60%

Percentage of girls = 100 - 60 = 40%

Percentage of boys that arrive by car

= 20% of 60%

= 0.2 x 60 = 12%

Percentage of girls that arrive by car

= 60% of 40%

= 0.6 x 40

= 24%

Total Percentage of children arrive by car

= 12 + 24

= 36%

P(Arrive by car)

= 36%

= 0.36

Answer:

The vertex is (2,-16)

Step-by-step explanation:

The given function is [tex]f(x)=(x-6)(x+2)[/tex]

We expand to obtain;

[tex]f(x)=x^2+2x-6x-12[/tex]

[tex]f(x)=x^2-4x-12[/tex]

We complete the squares to obtain;

[tex]f(x)=x^2-4x+(-2)^2-12-(-2)^2[/tex]

[tex]f(x)=x^2-4x+(-2)^2-12-4[/tex]

[tex]f(x)=(x-2)^2-16[/tex]

The vertex form is [tex]f(x)=(x-2)^2-16[/tex]

Comparing this to

[tex]f(x)=a(x-k)^2+k[/tex]

The vertex is (h,k)= (2,-16)

Final answer:

The vertex of the quadratic function f(x) = (x - 6)(x + 2) is found by expressing the function in vertex form. After completing the square, the vertex of the function is determined to be at the point (2, -16).

Explanation:

To find the vertex of the quadratic function f(x) = (x
– 6)(x + 2), we first need to express the function in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Multiplying out the factors gives us f(x) = x² - 4x - 12. Completing the square allows us to transform this equation into vertex form.

First, Factor out the leading coefficient (which is 1 in this case, so this step is not needed), and then rewrite the function isolating the terms with x:

f(x) = x² - 4x + ____ - 12 + ____.

We complete the square by finding the value that makes x² - 4x + ____ a perfect square trinomial. This value is (-4/2)² = 4, so we add and subtract 4 inside the function:

f(x) = x² - 4x + 4 - 12 - 4.

Now we have f(x) = (x - 2)² - 16. Thus, the vertex form of the function is y = (x - 2)² - 16, and the vertex of the parabola is at the point (2, -16).

Answer:

Correct choice is D)(4, -5).

Step-by-step explanation:

We have been given a graph of two functions which intersect at some points. Using that graph we need to approximate one of the solutions to the system of equations graphed below. where given choices are:

A)(-3, -3)

B)(0, 5)

C)(3, 0)

D)(4, -5)

From graph we can see that given graphs of red curve and blue curve intersect at two points (-2,0) and (4,-5).

Hence correct choice is D)(4, -5).

Answer: Last Option

[tex]y> | x + 1 | +3[/tex]

Step-by-step explanation:

First we must identify the function shown in the graph.

It is a function of absolute value whose vertex is in the point (-1, 3)

The absolute value parent function is:

[tex]h(x) = | x |[/tex]. And it has its vertex in (0, 0)

The function shown in the graph is the function h(x) displaced 1 unit to the left and 3 units to the top.

Therefore the function shown in the graph [tex]f(x) = h (x + 1) +3[/tex]

[tex]f (x) = | x + 1 | +3[/tex].

Then, the region shaded in the graph are all the values of y that are above the graph of [tex]f (x) = | x + 1 | +3[/tex]

That is, the region is formed by all values where y is greater than [tex]f (x) = | x + 1 | +3[/tex]

Then the inequality is:

[tex]y> | x + 1 | +3[/tex]

Answer:

-17y+16x

Step-by-step explanation:

-3(3y -2x) +2(5x-4y)

Distribute

-9y +6x +10x -8y

Combine like terms

-9y -8y+ 6x+10x

-17y+16x

Answer:

-17y+16x

Step-by-step explanation:

I think the rule might be x-9

Answer:

  0.5 < t < 2

Step-by-step explanation:

The function reaches its maximum height at ...

  t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)

The function can be factored to find the zeros.

  f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)

The factors are zero for ...

  x = -1 and x = +2

The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.

Answer:

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

we know that

In the diagram

[tex]tan(\theta)=\frac{m}{1/2}=2m[/tex]

[tex]tan(\theta)=\sqrt{3}[/tex]

Equate

[tex]2m=\sqrt{3}[/tex]

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Answer:

B

Step-by-step explanation:

Option B on edge

Answer:

12.25 ounces

Step-by-step explanation:

There are 7 toys, each weighs 1 3/4 ounces.You do 1 3/4 times 7 to get the total weight.

Answer:

The bag would weigh 12 1/4 ounces.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The given equation y = 2x^2 -12x - 32 can be factored as follows:

y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2).  Then its roots are x = -2 and x = 8.

Since d > e and 8 > -2, we conclude that d = 8 and e = -2.

We need to find the minimum of y = 2x^2 -12x - 32.

We can do this by finding the vertex:                  b

The equation of the axis of symmetry is x = - ----------

                                                                                2a

                                 -12

which here is x = - --------- = 3

                                 2(2)

so f = 3.

Answer choice B is correct.

Answer:

Tama sya Ayan yung lumabas na sagot

Answer:

-4y -7

Step-by-step explanation:

−4y−4+(−3)

The terms -4 and -3 are the like terms.  When we add them together we get

-4 +-3 = -7

-4y + -7

or -4y -7

Final answer:

To combine like terms in the expression −4y−4+(−3), you combine the constants −4 and −3 to get −4y - 7.

Explanation:

To combine the like terms in the expression −4y−4+(−3), let's first identify the like terms. Here, since we only have one variable term −4y, it doesn't combine with any other, but we do have constant terms that we can combine: −4 and (−3).

When combining these constants, we treat the parentheses as a multiplication by -1 due to the negative sign in front of the 3. Thus, the expression becomes:

−4y − 4 − 3

Now we simply combine the constants:

−4y - 7

So the equivalent expression after combining like terms is −4y - 7.

Number 2 is the answer

Answer: C) 44

======================================

Work Shown:

P = 2*(L+W)

P = 2*(13+9) ... plug in given length and width

P = 2*22

P = 44

Answer:

Step-by-step explanation:

Answer:

The graph in the bottom right (The circle) is not a function

Step-by-step explanation:

As the circle has multiple y values for each x value, it is not a function. In other words, that graph fails the vertical line test.

Answer:

IV graph

Step-by-step explanation:

Function: It is relation between x and y.For each x, there is  a unique value of y.

Only one output for one input.

One value of x cannot have more than one images.

Vertical line test:

When we draw a vertical line passing through any given  value of x and cut the curve more than one  points then, the curve does not represents the function.

When a vertical line cuts the curve at one point then, the curve represents the function.

In I graph, We can see that

Image of 1 is 2.

Image of 2 is 1.

Image of -2 is 1.

There is only one output for input.

Hence, it represents the function.

In II graph,

By vertical line test, when we draw a vertical line x=1 then it cuts the graph at one point only.

Hence, it represents the function.

In III graph,

Image of 1 is 1.

Image of 0 is 2.

Image of -1 is 3.

Image of -2 is 4.

There is only one output for 1 input.

Hence, it represents the function.

In IV graph,

When we draw a vertical line x=1 then , it cuts the curve at two points.

Therefore, given circle does not represents the function.

Answer:

Step-by-step explanation: