Find the measure of ∠BCD in degrees.

(Answer as fast as possible would be appreciated!)

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

Now to check

36-20=16

20*36=720

Answer:

Step-by-step explanation:

Remark

Complete the square for x and for y.

complete for x

x^2 + 2x + (2/2)^2

(x + 1)^2

Complete square for y

y^2 + 10y + (10/2)^2

(y + 5)^2

Now put these two together

(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2

(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1

(x + 1)^2 + (y + 5)^2 = 41

Answer

Center: (-1,-5)

radius: (sqrt(41) = 6.403

Answer:

276

Step-by-step explanation:

that's the correct answer

Answer:<3

Step-by-step explanation: 280 is right on acellus

Answer:

because it helps you feel happieness and your not feeling it

Step-by-step explanation:

Answer:

x is 600 and y is 128:

so the answer is 472!

Answer:

2b+8 is the simplify expression

Answer:

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

__________________________

another way

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

= b = [tex]\frac{8}{2} \\\\[/tex]

= b= 4

Ans: b= 4

Answer:

Step-by-step explanation:

15x13=?

15+15+1=31

so the answer is 31

Answer:

How much of a head start in miles did Mr. Smith have?

+d%5B1%5D+=+60%2A4+

+d%5B1%5D+=+240+ mi

------------------

Start a stopwatch when Mrs. Smith leaves. Let +t+

= the time on the stopwatch in hrs when Mrs. Smith

catches up with Mr. Smith.

Let +d+ = the distance in miles that Mrs. Smith

travels until she overtakes Mr. Smith

------------------

Mr. Smith's equation:

(1) +d+-+240+=+60t+

Mrs. Smith's equation:

(2) +d+=+80t+

-------------------

Substitute (2) into (1)

(1) +80t+-+240+=+60t+

(1) +20t+=+240+

(1) +t+=+12+

Mrs. Smith overtakes Mr. Smith in 12 hrs

-------------------

check:

(2) +d+=+80t+

(2) +d+=+80%2A12+

(2) +d+=+960+ mi

and

(1) +d+-+240+=+60t+

(1) +d+-+240+=+60%2A12+

(1) +d+=+240+%2B+720+

(1) +d+=+960+ mi

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Answer:

Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...

Step-by-step explanation:

Answer:

v= -4i-j

Step-by-step explanation:

we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.

Answer:

x10

y35

or

xxxxxxxxxx yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

2. 4.46

3. 12

Step-by-step explanation:

2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46

3.  [tex]\frac{4}{5} = \frac{x}{15}[/tex]

5 * x = 4 * 15

5x = 60

x = [tex]\frac{60}{5}[/tex] = 12

9514 1404 393

Answer:

  288 cm²

Step-by-step explanation:

The figure decomposes into two rectangles and a triangle.

It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.

The upper rectangle has an area of ...

  A = LW = (6 cm)(4 cm) = 24 cm²

The lower rectangle has an area of ...

  A = LW = (16 cm)(7 cm) = 112 cm²

The triangle has an area of ...

  A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²

__

Then the total area of the figure is ...

  24 cm² +112 cm² +152 cm² = 288 cm²

Answer:

30

Step-by-step explanation:

the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30

Answer: x= -2/7, y = 10/7

Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2

Multiply equation 2) by -3 and you get -9x -6y = -6.

Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:

3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7

Answer: A

Step-by-step explanation:

Answer:

x = 15.42

Step-by-step explanation:

cos 63° = 7/x

0.4540 x = 7

x = 15.42

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

Answer:

B. 21,704 cubic feet

Step-by-step explanation:

Hope this helped

Answer:

[tex]7.291(6)\frac{m}{s^2}[/tex]

Step-by-step explanation:

Firstly, there's definitely large friction with a sofa, so we cannot answer.

Assming there is no friction:

The acceleration is directly proportional to force and inversely proportional to mass (makes sense, right?)

[tex]a = \frac{F}{m}\\a = \frac{350kg}{48N} = \frac{350kg}{48\frac{kg\cdot m}{s^2}} = \frac{350}{48}\frac{m}{s^2} = 7.29166666\ldots\frac{m}{s^2}[/tex]

Answer:

35

Step-by-step explanation:

7!/ 4! 3! = (7 ·6 ·5) ÷ (3 · 2) = 7x5 = 35

Answer:

x=1/18

Step-by-step explanation:

19x-x=+1

18x=+1

x=1/18

Answer:

b) 270 ≥ 40.18d + 3.75

Step-by-step explanation:

Per day is a variable, so it's 40.18d

Per mile is also a variable so 0.05m

40.18d + 0.05m ≤ 270

40.18d + 0.05(75) ≤ 270

40.18d + 3.75 ≤ 270

Answer: 270 ≥ 40.18d + 3.75

9514 1404 393

Answer:

  $6903.47

Step-by-step explanation:

The principal due when there are 6 payments left can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.

Using the given information, you have ...

  $1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P

Then the principal P due at the time of interest is ...

  P = $1220/0.1757226 ≈ $6903.47

The balance 3 years from the end of the loan is $6903.47.

Answer:

SP = $32.89

Step-by-step explanation:

Given that,

CP of every scarf = $8.39

Profit = $24.50

We need to find the SP for each scarf. We can find it as follows :

SP = CP +profit

SP = 8.39+24.50

SP = $32.89

So, Priscilla sells each scarf for $32.89.

Answer:

x+3

Step-by-step explanation:

[tex]\huge{\mathbb{\tt {ANSWER↓}}}[/tex]

Factor the numerator and denominator and cancel the common factors.

[tex]\color{green}{\tt {x+3}}[/tex]

[tex]\huge{{\tt { STEPS↓}}}[/tex]

[tex] {x}^{2} + 9x \: + 18 \\ x + 6[/tex]

[tex]\color{red}{\tt { FACTOR \: x² + 9x +18: ( x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { (x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { x+6}}[/tex]

[tex]\color{black}{\tt{Cancel \: the \: common \: factor:}} \: \color{blue}{\tt( x+6)}[/tex]

[tex]\color{green}{\tt{ x+3}}[/tex]

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