What are the vertices of A'B'C if ABC is dilated by a scale factor of 1/6?

Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

The actual roots of the function P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45 are its real roots

The actual roots ordered from least to greatest are -3 and 3

From the complete question, the polynomial function is:

P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45

Expand the above equation

P(x) = x^4 - 4x^3 + 5x^2 - 9x^2 + 36x - 45

Factorize the equation

P(x) = x^2(x^2 - 4x + 5) - 9(x^2 - 4x + 5)

Factor out x^2 - 4x + 5

P(x) = (x^2- 9)(x^2 - 4x + 5)

Express x^2 - 9 as a difference of two squares

P(x) = (x + 3)(x - 3)(x^2 - 4x + 5)

The expression (x^2 - 4x + 5) cannot be factorized.

So, we have:

P(x) = (x + 3)(x -3)

Equate to 0

(x + 3)(x -3) = 0

Expand

x + 3 = 0 or x - 3 = 0

Solve for x

x = -3 or x = 3

Hence, the actual roots ordered from least to greatest are -3 and 3

Read more about polynomial functions at:

https://brainly.com/question/2833285

Answer:

answer in picture

Step-by-step explanation:

Answer:

[tex]Y=-\frac{1}{3} + 6[/tex]

Hope This Helps! :) Please Mark Brainliest!

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:

2 1/2 x 4 = 10

answer: D. 10

Answer:

20times bc u times 5 by 10 then divide 8 u get 6.2

Answer:

[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Step-by-step explanation:

[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Answer:

Midsegment = 3√13

Step-by-step explanation:

The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

Answer:

f−1(x)=x5+45

Step-by-step explanation:

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:

[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]

4/13 is our final simplified answer

I hope this helps!

Answer:

2.054

Step-by-step explanation:

put the value of x in f(x)

Answer:

Below in bold.

Step-by-step explanation:

z = 87 degrees ( vertical angles)

9x - 87 = 180 - z   ( adjacent angles are supplementary)

9x - 87 = 180 - 87  

9x = 180

x = 20 degrees.

Answer:

I think it is B) 1/5, but I am not sure.

The sale price for the snowboard after the trade and loyalty discount of 15% and 4% will be 351.01 dollars.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Then the price of the snowboards will be

⇒ $ 395 × 0.85 × 0.96

⇒ $ 322.32

Its markup on selling price percentage on all snowboards is 21%, then we have

⇒ $ 322.32 × 1.21

⇒ $ 390.01

At the end of the season, any leftover snowboards are marked down by 10%, then we have

⇒ $ 390.01 × 0.90

⇒ $ 351.01

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

Answer:

for the first one it will be 0.021

the second one it's 0.009

and for the third one it will be 0.015

5x-9 means

9 less than the product of a number and 5

5 times x minus 9

the product of 5 and a number minus 9

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

1 Shirt and 185cm remaining cloth

Step-by-step explanation:

2m and 15cm = 215cm

40m = 400cm

400/215=1.860465116

A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:

1.860465116-1

=860465116

215*860465116=185cm

Answer:

1.98Gal

Step-by-step explanation:

Randy soda total is 1.5 gal + 2.25 Gal = 3.75 Gal

Andy soda total is 1.15 + 0.62 Gal = 1.77 Gal

3.75-1.77=1.98Gal

1.98

Step-by-step explanation:

1.5+2.25=3.75

1.15+0.62=1.77

3.75-1.77=1.98

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]

[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]

Answer:

27 inches

Step-by-step explanation:

the formula for the circumference is 2 × pi × r

so: 2 × pi × r = 84.78

so 84.78/2pi = r

r = 13.5

we want the diameter which is 2 x r

so the diameter is 27

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320

Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

[tex]m = 1[/tex]

Step-by-step explanation:

[tex]2x + m = 7[/tex]

insert x=3 into the equation

[tex]2(3) + m = 7[/tex]

multiply

[tex]6 + m = 7[/tex]

subtract 6 on both sides

[tex]6 - 6 + m = 7 - 6[/tex]

[tex]m = 7 - 6[/tex]

simplify

[tex]m = 1[/tex]