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Black_prince [1.1K]
2 years ago
6

D. 9x-X+5x =260 Bx= 200

Mathematics
1 answer:
yan [13]2 years ago
8 0

Answer:

We first must solve for x

9x-x+5x=260\\13x=260\\x=30

When we have x, we put it in to the second equation

Bx=200\\\\B=\frac{200}{x} \\\\B=\frac{200}{30}\\\\B=\frac{20}{3}

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Please please help me on how to do congruent figures!
AlexFokin [52]

Answer:

x = 5

Step-by-step explanation:

Since both triangles are similar hence;

m<CAB = m<CDE

Given theta

m<CAB = 50degrees

m<CDE = 10x

Substitute the given angles

50 = 10x

Swap

10x = 50

Divide both sides by 10

10x/10 = 50/10

x = 5

Hence the value of x is 5

7 0
3 years ago
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0
3 years ago
An expression is given.
Katyanochek1 [597]

9514 1404 393

Answer:

  34

Step-by-step explanation:

Maybe you want to evaluate ...

  16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

  16 -14÷2 +5²

Then the exponential term.

  16 -14÷2 +25

The division is evaluated next.

  16 -7 +25

Finally, the sum is evaluated.

  = 9 +25

  = 34

____

Your calculator can do this arithmetic for you.

5 0
3 years ago
Is xy=yx distributive property
Molodets [167]
No, xy = yx is not distributive property, Hope this helps
7 0
3 years ago
Read 2 more answers
G(x) = x3 + 6x2 + 12x + 8 Determine the function’s value when x = −1
slava [35]

A function is denoted as y = g (x), where x is the argument or input of the function. We know that x=-1, this means that in order to get g(-1) we should replace x with -1.

g(-1)=(-1)^3+6(-1)^2+12*(-1)+8= (-1)+6*1+(-12)+8=-1+6-12+8=5-12+8=-7+8=1

g(-1)=1

7 0
3 years ago
Read 2 more answers
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