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3 years ago

Solve for x in the diagram.

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

Using Pythagorean Theorem

=> $c^2 = a^2+b^2$

Where c= x, a = 12, b = 9

=> $x^2 = (12)^2+(9)^2$

=> $x^2 = 144+81$

=> $x^2 = 225$

Taking sqrt on both sides

=> x = 15

storchak [24]3 years ago

5 0

12^2-9^2 =63
Square root of 63 is 7.93725...
Answer is 7.94 rounded up

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Check my answer. I think it C but i really don't know.

Tamiku [17]

Answer:

Step-by-step explanation:

The correct answer is A.

Try breaking the shape into other shapes that you can find the area for and then adding them together.

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4 years ago

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Find the volume of the following solid. The solid between the cylinder f(x,y)equals=e Superscript negative xe−x and the region

PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy$

Now evaluate,

$\int_{0}^{ln(6)}e^{-x}dx$

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

$\int_{-6}^{6}\frac{5}{6}dy = 10$

So,

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10$

7 0

3 years ago

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?

schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

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3 years ago

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Ivenika [448]

Answer:

See attachment

Step-by-step explanation:

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3 years ago

What is the sum of 7 3/16+3/4

muminat

Answer:

7 15/16

Step-by-step explanation:

find the same denominator which is 16

3/4x4/4 = 12/16

7 3/16+12/16= 7 15/16

probably bad explanation but hope it helps.. :)

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3 years ago

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