Given that AABC~ ADEF, solve for x.​

Answer:

1

Step-by-step explanation:

Answer:

489.40 cm³

Step-by-step explanation:

Since the cross section is parallel to their respective bases, hence:

Area of the cylinder cross section = area of the circular base = πr²

where r is the radius of the cylinder base.

Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm

Since both cross sections have same area, hence:

Area of cylinder cross section = Area of rectangle base

πr² = 8.1 * 3.8

r² = 9.8

r = 3.1 cm

Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³

Answer:

C

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides

x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides

x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )

x² = 20y

Answer:

I think it is of the last option

Answer:

15×5 =75

Step-by-step explanation:

1 inch reprsnt 5

Answer:

x = 15 , x = 2

Step-by-step explanation:

[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]

x = 15 , x = 2

Step-by-step explanation:

B) opposite sides are congruent !!!!!!

Answer:

D

Step-by-step explanation:

notice how everything goes up by 3? that's a sequence.

Answer:

84%

Step-by-step explanation:

each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.

with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's

if you add another 3 liters, THEN it is 85%

add 12 liters in total and the final answer 84%

Answers:

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

Explanations:

8) Positive r values always go with positive regression slopes. The r value will likely not equal the slope, but they share the same sign.

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9) The data set isn't given so I'm not sure. But it seems like your teacher just wants to know a hypothetical situation in which r value will produce the best fit. That would be r = -0.95 since we're the furthest from zero. The closer you are to r = 1 or r = -1, the better the fit.

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10) The blue regression line, aka line of best fit, is fairly close to all of the data points. Also, the blue line has a positive slope. This means r is fairly close to 1. So that's why we go with r = 0.9

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11) The general equation is y = mx+b. We simply replace x,y with x1,y1.

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12) When considering y = mx+b, the m is the slope. I'm not entirely sure where the m comes from, but I've read some sources that say 'm' somehow represents 'mountain' which involves slopes. This could have simply been a memorization tool and not the actual reason why m was chosen to be the slope.

As an example, y = 2x+5 has slope 2.

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13) The b in y = mx+b is the y intercept. It's the initial value.

It always occurs when x = 0 since

y = mx+b

y = m*0+b

y = b

Meaning the point (0,b) is the location of the y intercept.

For example, y = 2x+5 has y intercept 5 located at the point (0,5).

Answer:

6cm

Step-by-step explanation:

Area of the trapezoid = Area of the square + Area of the triangle

Area of the square= Area of the trapezoid - Area of the triangle

Area of the square= 60 - 24

Area of the square= = 36 square metres

Since Area of the square= L²

L is the length of the side of the square

L² = 36

L = √36

L = 6cm

Hence the required length is 6cm

Answer:

i think 88

Step-by-step explanation:

(it's been a while since I've done this so I'm not too sure it's correct)

The formula we need to use is

2πr(angle/360)

we need the radius (r)

To get r we need angle AES

180-80= 100

using the equation from before

88=2πr*(100/360)

raidus: 50.42

Then to get the length CD we need angle DEC

180-80=100

2π*50.42*(100/360)=88

there probably was some kind of shortcut we could've used to figure this out faster but whatever

Answer:

I need more information to answer this. Please provide more context

Step-by-step explanation:

SOHCAHTOA

SIN: Opposite/hypo

COS: Adj/Hyp

TAN: Opp/Adj

Answer:

option c is the correct answer

Answer:

7/5 is the scale factor

Step-by-step explanation:

Answer:

Multiply the numerator by the numerator and the denominator by the demoninator.

Step-by-step explanation:

Answer:

Nope, to multiply two fractions = numerator × numerator / denominator × denominator

Step-by-step explanation:

For Example:

[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]

Multiply 5 by 8

40

Multiply 3 by 2

6

Result: [tex]\frac{40}{6}[/tex]

Finally Simplify

[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line

Answer:

Barb is correct she won by 10 points

Darius's=480

Barb=490

Answer:

a. P(x = 5) = 0.24

b. P(x ≥ 6) = 0.43

c. P(x < 4)= 0.14

Step-by-step explanation:

According to the Question,

⇒We use Binomial Probability Formula

[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]

Where, p=0.52 & n=10

a. The probability that the number of U.S. adults who have very little confidence in newspapers is ​exactly​ five . So, (x=5)

Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]

On Solving Above Equation we get,

P(5)=0.2441 ≈ 0.24

b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)

Then,

P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)

P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]

On solving above equation we get,

P(x≥6) =  0.4270 ≈ 0.43

c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)

Then,

P(x < 4)=P(3) + P(2)+P(1)+P(0)

P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]

On solving we get,

P(x < 4)= 0.1410 ≈ 0.14  

3/5×(-3)/10 + 1/15 - 3/5×1/5 =  -7/30 ≅  -0.2333333

I hope this helps!

Answer:

c=13 and a=20

Step-by-step explanation:

Here you need to use the Pythagoras theorem :

c²=a² + b²

c = √a² + b²

c = √(12)²+(5)²

c= √144+25

c = √169

c = 13

2) c²=a²+b²

    b= √c²-b²

    b= √(29)²-(21)²

    b = √400

    b = 20

In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation

The graph of the function f ( x ) = x² - 2x + 3 is plotted

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as A

Now , the value of A = f ( x )

f ( x ) = x² - 2x + 3   be equation (1)

Now , the function is a parabolic equation with the vertices at ( 1 , 2 )

Therefore , the function is f ( x ) = x² - 2x + 3  and the graph is plotted

Hence , the parabolic function is f ( x ) = x² - 2x + 3

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Answer:

C. 8

Step-by-step explanation:

Options

A. 5

B. 6

C. 8

D. Can't say without knowing the number of participants

Number of sweet distributed = Total number of sweets - left over sweets

= 1025 sweets - 1 left over sweet

= 1024 sweets

Number of participants = Number of sweets distributed / number of sweets given to each participant

A. 5

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1024 /5 Sweets

= 204.8 participant

B. 6

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1024/6

= 170.67 participant

C. 8

Number of participants = Number of sweets distributed / number of sweets given to each participant

= 1,024/8

= 128 participant

D. Can't say without knowing the number of participants

From the options given, the number of sweets given away to each participant could be 8

Number of sweets given to each participants is 32.

Since, A sports teacher had 1025 sweets and he had one sweet left after distributing.

So, number of sweets he distributing is, [tex]1025-1=1024[/tex]

Since, distributing these equally amongst all the participants

Therefore, number of sweets given to each participants is, [tex]=\sqrt{1024}=32[/tex]

So, total number of participants is 32 and number of sweets given to each participants is 32.

Learn more about square root here:

https://brainly.com/question/11388449

Answer:

True

Step-by-step explanation:

The formula to convert Fahrenheit degrees to Celcius degrees is [tex]C=5/9*(F-32)[/tex]

Answer:

I don't know.

Answer:

It's (-3, -2)

I did the math, don't worry

Answer:

1:1 because they ate the same amount both weeks

Answer:

The population of town A = 18,000

The population of town B = 15,000

The population of town C = 20,000

Step-by-step explanation:

Given;

A:B = 6:5

B:C = 3:4

total population = 53,000

A + B + C = 53,000

[tex]\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000[/tex]

Now solve for A and C;

[tex]A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000[/tex]

Answer:

Step-by-step explanation:

let the speed of Landon=x

speed of Eduardo=x+9

5x+5(x+9)=135

divide by 5

x+x+9=135/5=27

2x+9=27

2x=27-9

2x=18

x=18/2=9

speed of Landon=9 mph

speed of Eduardo=9+9=18 mph

Answer:

D

8x^2-12x+5

thanx for youer sug

Answer:

[tex]8x^2-12x+5[/tex]

Step-by-step explanation:

This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.

h(x) = 4x+1                                           Plug in g(x) equation for x

h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex]                Distribute the 4 and simplify

h(g(x)) = [tex]8x^2-12x+5[/tex]