An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units

Answer:

165

Step-by-step explanation:

we solve this by sum over the possible symmetry groups of the colorings.

1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.

2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.

All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.

so, total number of boards= 5+10+150= 165.

Answer:

Levers of the factor are High dosage , Low dosage and Placebo.

Step-by-step explanation:

Levels of the factor refer to the number of variations of factor that are used in the experiment. The effect of the factor can be evaluated by these levels.

Here the factor is the experimental drug.

The first group received a low dosage of an experimental drug,

The second group received a high dosage of the drug,

The third group received a placebo.

It can be observed from above three statements that there are 3 levels of factor. These three levels can be used to assess the effect of the experimental drug on 780 participants suffering from high blood pressure.

The factor experimental drug has three levels that are:

High dosage

Low dosage

Placebo

Hey there! I'm happy to help!

BOTTOM CIRCLE

First, let's find the area of the bottom circle. We will use 3.14 for pi.

A=3.14×r²

A=3.14×25²

A=3.14×625

A=1962.5

TOP CIRCLE WITH OPENING

The top circle has the same area as the bottom one but the area of the opening is subtracted from it. Let's find the area of this circular opening with a radius of 14 cm.

A=3.14×14²

A=3.14×196

A=615.44

Now, we subtract this from the area of the 25 cm radius circle.

1962.5-615.44=1347.06

RECTANGLE

A cylinder is made up of a rectangle wrapped around a top and bottom circle. One side of that rectangle is the height of the cylinder and the other side is the circumference of the circle, as the top side of the rectangle wraps completely around the circle.

Let's find the circumference of the circle.

C=3.14×d

Diameter is twice the radius, so diameter is 50 cm.

C=3.14×50

C=157

We multiply this by the height.

157×1.5=235.5

TOTAL SURFACE AREA

We now combine the areas of the bottom circle, top circle with opening, and rectangle to find the surface area.

1962.5+1347.06+235.5=3545.06

Therefore, the surface area of the tank is 3545.06 m².

Have a wonderful day! :D

Answer:

304(pi) g

Step-by-step explanation:

First we find the volume of the hollow ball. Then we find the mass using the volume and density.

Let R = exterior radius = 3 cm

Let r = interior radius = 2 cm

volume = exterior volume - interior volume

volume = (4/3)(pi)R^3 - (4/3)(pi)r^3

volume = (4/3)(pi)(R^3 - r^3)

volume = (4/3)(pi)(3^3 - 2^3) cm^3

volume = (4/3)(pi)(27 - 8) cm^3

volume = (76/3)pi cm^3

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 12 g/cm^3 * (76/3)pi cm^3

mass = 304(pi) g

Answer: 304(pi) g

Answer:

m=(76π/3 )(12)=304πg

Step-by-step explanation:

volume of sphere=(4πr³)/3

V=4π(2)³/3=32π/3 of the interior

V of exterior=4π(3)³/3=36π

Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π

m=V*D ( volume * density)=

m=(76π/3 )(12)=304πg

Answer:

  [tex]\dfrac{3(6)-1}{2(6)+1}[/tex]

Step-by-step explanation:

For ...

The expression (r/s)(6) is ...

  [tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

With this one, you can just plug in 3 into each of the equations until the answer is 1.

When u plug 3 into x for solution A.

(1/3)×3=1

1^2=1

Answer:

[tex]\boxed{ \mathrm{A} }[/tex]

Step-by-step explanation:

The point is given (3, 1)

x = 3

y = 1

y = (1/3x)²

Plug x as 3 and y as 1.

The equation should be equal.

1 = (1/3(3))²

1 = 1²

1 = 1 True

Answer:

E. x = -1.

Step-by-step explanation:

The rational expression will only be undefined when a number is divided by 0. In this case, the expression will be undefined when the denominator equals 0. So, when x + 1 = 0.

x + 1 = 0

x = -1

E. -1 is your answer.

Hope this helps!

Answer:

D. -2 and B. -5

Step-by-step explanation: you can't have a negatie denominator/

Answer:

14 cards

Step-by-step explanation:

70 - 15 = 55

55/4 = 13.75

Therefore, the highest number of cards someone is able to get is 14.

Answer:

14

Step-by-step explanation:

add!

Answer:

Step-by-step explanation:

There are the same angles in similar triangles but sides not necessarily.

In congruent triangles there are the same angles and the same sides.

Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

Answer:

C. x, x/2, x/4, x/8, ...

Step-by-step explanation:

I'm late but it's correct on edg, just did it myself. Hope it helps!

Answer:

[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]

This can be expressed in 2 parts as

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 10 ( divide both sides by 3 )

x = [tex]\frac{10}{3}[/tex]

and

[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )

2y = 15 ( divide both sides by 2 )

y = [tex]\frac{15}{2}[/tex]

Thus

[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )

[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]

Answer:

= 4/9

Step-by-step explanation:

2/3 to the averall of 2/3 ans we got 5/y

sp ab- x/5 = 4/9

Answer:

y-x

Step-by-step explanation:

I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.

Answer:

The domain is all real numbers but x ≠15/14

Step-by-step explanation:

The domain is the numbers that are allowed for x

f(x) = 50 / (14x-15)

The denominator is not allowed to go to zero or we are dividing by zero

14x-15 cannot equal zero

14x-15≠0

Add 15 to each side

14x ≠15

Divide by 14

x ≠15/14

The domain is all real numbers but x ≠15/14

Real numbers are those that can be shown on a number line.

Answer:

[tex]\boxed{\frac{15}{14} }[/tex]

Step-by-step explanation:

The domain of a function is the set of all possible values for x.

If the denominator of the function equals 0, then the output is undefined.

Put up an equation to solve for x.

14x - 15 = 0

Add 15 to both the sides.

14x = 15

Divide both sides by 14.

[tex]\displaystyle \frac{14x}{14} =\frac{15}{14}[/tex]

x = [tex]\displaystyle \frac{15}{14}[/tex]

Answer:

$620

Step-by-step explanation:

Answer:

8 inches

Step-by-step explanation:

3/4+(3/4*2)=3/4+6/4=9/4=2 1/4

2 1/4+6=8 1/4=8.25

Answer: 8.25 inches

Step-by-step explanation:

Step-by-step explanation:

Only Q4 has clear details

therefore, solving Question 4,

1 euro = $1.17

then,  €20.46 =20.46×1.17 = $23.93.

1 pound =1.28 dollars.

then,  £12.60 = 12.60×1.28 =$16.128

therefore, MP3 in pound is cheaper in dollar by $7.81.

Answer:

66666699999

Step-by-step explanation:

An appropriate name for EHC and CHJ is alternate interior angles.

Alternate interior angles are the angles formed when a transversal intersects coplanar strains. They lie on the inner side of the parallel lines but on the opposite facets of the transversal.

Except the exchange indoors vertical angles are 90° then they may no longer upload as much as 180°. If the exchange indoors angles are obtuse, then adding them collectively will bring about quite a number higher than 180°. consequently, if the alternate interior angles are acute, then including them together will bring about various beneath 180°.

Learn more about alternate interior angles here https://brainly.com/question/20344743

#SPJ2

Answer:

335

Step-by-step explanation:

536/336 = x/210

We're assuming all horizontal lines are parallel. Let x be the distance between A and B

[tex]\dfrac{x}{536}=\dfrac{210}{336}[/tex]

Cross multiply

[tex]336x=536 \times 210[/tex]

Simplifying and solving for x gives us:

[tex]x=335[/tex]

Now, add the distance between A and B and the distance between B and C to find the distance between A and C:

[tex]335+536=871[/tex]

The answer is choice C. Let me know if you need any clarifications, thanks!

Answer:

y =8

Step-by-step explanation:

34=3(y+6)-8

Add 8 to each side

34+8=3(y+6)-8+8

42 =3(y+6)

Divide by 3

42/3 = 3(y+6)/3

14 = y+6

Subtract 6 from each side

14-6 = y+6-6

8 = y

Answer:

y = 8

Step-by-step explanation:

Add 8 to both sides.

42=3(y+6)

Divide 3 from both sides.

14=y+6

Subtract 6 from both sides.

8 = y

Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 ​households, and the data collected today will be used to determine  the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

Answer:

b

Step-by-step explanation:

rise over run

Answer: b

Step-by-step explanation:

Answer:

k=5

a= -5

Step-by-step explanation:

if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a

Solution

x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a

We have,

(4k-25+16-2k)x+[10-k(8-k)] = x+a

(2k+9)x + (10-8k+k^2)=x+a

2k-9=1

2k=1+9

2k=10

Divide both sides by 2

2k/2=10/2

k=5

And

10-8k+k^2=a

10-8(5)+(5^2)=a

10-40+25=a

-5=a

Therefore, a=-5

x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5

Answer:

300.8 degrees

Step-by-step explanation:

in a circle full angle is [tex]2\pi[/tex] radian

In degrees the value of angle is 360.

Thus

[tex]2\pi[/tex] radian is same as  360 degrees

thus

[tex]2\pi[/tex] radian= 360 degrees

dviding both side by  [tex]2\pi[/tex]

[tex]2\pi[/tex] / [tex]2\pi[/tex] radian= 360/[tex]2\pi[/tex] degrees

1 radian= 360/[tex]2\pi[/tex] degrees

multiply both side by 5.25

1*5.25 radian= (360/[tex]2\pi[/tex])  * 5.25 degrees

using value of  [tex]\pi[/tex] as 3.14 we have

5.25 radian= (360/2*3.14)  * 5.25 degrees  = 300.8 degrees

Answer:

2

Step-by-step explanation:

2.5/5

Answer:

2.5 hours

Step-by-step explanation:

2.5 hours = work time

4boys+5boys working together same job.

Ans: 2.5 hours.

Answer:

Step-by-step explanation:

v = πr²h

To make h the subject divide both sides by πr²

So we have

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

when

π = 22/7

r = 7

v = 616

We have h as

[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]

[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

inequality is a equation with |x|

a inequality equation is like this..

|x|>7

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

Answer:

69.7° (corrected to 3 significant figures)

Step-by-step explanation:

Use the cosine formula to solve for x.

[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]