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2 years ago

9

Find the value of x.

2 answers:

Zanzabum2 years ago

6 0

Answer:

x=3

Step-by-step explanation:

I guessed and checked which x value would make ABC proportional to DBE. If x=3, than DB=8 which is double BE. If x=3, than AB=14 which is double BC. Since it is proportional, It should be correct. I don't remember the actual way you solve this with a formula but this makes sense to me.

7nadin3 [17]2 years ago

6 0

Answer:

x=3

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

x+5 4

------------ = ---------------

x+5 +2x 4+3

Simplifying

x+5 4

------------ = ---------------

3x+5 7

Using cross products

7(x+5) = 4(3x+5)

Distribute

7x+35 = 12x+20

Subtract 7x from each side

35 = 5x+20

Subtract 20 from each side

15 = 5x

Divide by 5

3 =x

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3 years ago

A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4

zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box= $180m^3$

Volume of box= $lbh=s^2h$

$s^2h=180$

$h=\frac{180}{s^2}$

Cost of bottom=$40 per square m

Cost of sides =$30 per square m

Total cost= $C=40s^2+30(4sh)$

$C=40s^2+120s\times \frac{180}{s^2}$

$C(s)=40s^2+\frac{21600}{s}$

Differentiate w.r.t s

$C'(s)=80s-\frac{21600}{s^2}$

$C'(s)=0$

$80s-\frac{21600}{s^2}=0$

$80s=\frac{21600}{s^2}$

$s^3=\frac{21600}{80}=270$

$s=(270)^{\frac{1}{3}}=6.46$

Again,differentiate w.r.t s

$C''(s)=80+\frac{43200}{s^3}$

Substitute s=6.46

$C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0$

Hence, the cost is minimum at s=6.46

$h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31$

Side of square bottom=6.46 m

Height of box=4.31 m

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3 years ago

27 is 76% of what number?

DanielleElmas [232]

Answer:

36

Step-by-step explanation:

i think im right about this

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3 years ago

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What's the word form and value of 3.100

BlackZzzverrR [31]

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3 years ago

Select the correct answer from each drop-down menu.

kompoz [17]

Answer: B has greater spread than A.

Step-by-step explanation:

Since we have given that

Set A: {38, 12, 23, 48, 55, 16, 18}

Range of A = Highest - Lowest

Range of A = 55 - 12

Range of A = 43

Set B:{44, 13, 24, 12, 56}

Range of B = Highest - Lowest

Range of B = 56 - 12

Range of B = 44

Since Range of B is more than range of A.

Hence, B has greater spread than A.

6 0

3 years ago