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UkoKoshka [18]
3 years ago
15

Please help thank you :)​

Mathematics
2 answers:
Bad White [126]3 years ago
4 0

Answer:

ASA

Step-by-step explanation:

Hope it will help

plz brainlists

tamaranim1 [39]3 years ago
3 0

\:  \:  \:  \:  \:  \:  \red{ \underline{ \large{ \pink{ \tt{꧁ A \: N \: S \: W \: E \: R ꧂}}} }}

✧ \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }:

  • AC bisects \tt{ \angle BAD\:  \& \:  \angle \: BCD}

❀ \underline{ \underline{ \large{ \tt{ \purple{T \: O \:  \: F \: I\: N\: D}}}}} :

  • Congruence theorem which justifies ∆ ABC \cong ∆ ADC.

♕ \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}:

\begin{array}{ |c| c |  c |  } \hline \text{SN}& \text{Statement} &  \text{Reason}\\ \hline \\  \text{1 \: i.}& \sf{In \triangle} \:ABC \:    \& \:  \triangle \: ACD  \: \   \\ &  \tt{ \angle ACB=  \angle \: ACD(A)}\ &  \sf{AC \: bisects \angle \: BCD(Given)}   \\  \text{ii} \: &  \tt{AC= CA(S)}&  \sf{Common \: side} \\  \text{iii} \: &  \tt{ \angle \: BAC =  \angle \: CAD(A)}&  \sf{AC \: bisects \:  \angle \: BAD ( Given )}&  \\  \\ \hline 2& \tt{ \triangle} \: ABC  \cong  \triangle{ADC}&    \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\   \hline\end{array}

Hence , We can conclude :

  • ASA congruence theorem justifies ∆ ABC \cong ∆ ADC

ツ Hope I helped! ♡

♪ Have a wonderful day / night ! ✎

✎ \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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I want you to imagine as you read this or you can draw through the help of my explanation and see yourself:

1↪Draw triangle ABC where BC>AC

2↪D is any point on AC such that CD=CB

3↪Roughly drawing , you can assume CD=CB and and join BD

4↪SO triangle ABC which is a big triangle is divided into Triangles ABD and BDC

5↪See in triangle BDC ,CD=CB so, base angles of isosceles triangle are equal:
<CDB=<CBD = x (assume) which means x is acute angle since CDB and CBD are are in same triangle with same measure and there can't be any two obtuse angle in any traingle. So x must be acute.

6↪Now see in traingle ABD,

<ADB=180-<CDB=180-x=obtuse angle
...check yourself ...just subtract any acute angle from 180 you will get only obtuse angle (ie angle greater than 90)
That means in triangle ABD , one angle ADB is obtuse which means remaining <ABD and < BAD are acute. [PROVED]

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A standard oil drum is a cylinder with a volume of approximately 218.276 liters (or 0.218276 cubic meters). The cost of producin
Arte-miy333 [17]

Answer:

r = 2,85 feet

h = 8,56 feet

Step-by-step explanation:

Area of two circular caps (m ^(2)) : 2* pi* r^(2) (where  r is the radius of circular cap)     Area of wall (m ^(2))  is 2*pi*r*h (where h is the height of drum)

V= pi*r^(2)*h           so  h=V/pi*r^(2)   (1)

Cost in $:

Cost of wall 25 $/m^(2) plus 10% for manufacturing so:

C(w) = 27,5*2*pi*r*h $/square feet

Cost of (both top and bottom cap) = 2*40,97*pi* r^(2) so:

C(caps) = 257,29* r^(2) $/squaer feet

Total cost of cylnder = cost of wall + cost of caps

Total cost f cylinder: F(c)= 55*pi*r*h+257,29* r^(2)

F(c) = 172,7*r*h + 257,29*r^(2)         F(c)  is F(r)

Since from (1) we have h=218,276/pi*r^(2)  

F(r) = (172,7)*r*(69,514)/r^(2) +257,29*r^(2)           F(c) = 12005/r + 257,29*r^(2)

Taken the first dervative

F´(r)= -12005*(1)/r^(2) +2*257,29*r         F´(r) =  -12005*(1)/r^(2) +514,58*r

f F´(r) = 0          -12005*(1)/r^(2) + 514,58*r =0

-120005 + 514,58*^(3) = 0          514,58*^(3) = 12005      r =cubic root (23,32)

r = 2,85 ft

if we replace this value en F(r) we can see F(r) tend to infinite both when r tend to 0 and when r tends to infnite so there is a minimun for the functon

r = 2,85 ft    and   h = 8,56 ft

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