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3 years ago

Surface area of a cylinder radius is 2 and height is 3

Mathematics

1 answer:

Lerok [7]3 years ago

6 0

Answer:

62.83 cm squared

Step-by-step explanation:

A = 2πrh+2πr^2

A = 2π(2)(3)+2π(2)^2

A = 2π(6)+2π4

A = 12π+8π

A = 20π

A = 20(3.14)

A = 62.83 cm squared

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Simplify the expression 3x + 14x + 35 + 2

IRINA_888 [86]

Answer:

17x + 37

Step-by-step explanation:

looked it up

8 0

3 years ago

The resistance for resistors of a certain type is a random variable Xhaving the normal distribution with mean 9 ohms and standar

Y_Kistochka [10]

Answer:

$P(8.6$

And using the normal standard distirbution or excel we got:

$P(-1$

Step-by-step explanation:

Let X the random variable that represent the resistance for resistors of a population, and for this case we know the distribution for X is given by:

$X \sim N(9,0.4)$

Where $\mu=9$ and $\sigma=0.4$

We are interested on this probability

$P(8.6$

And the z score formula is given by:

$z=\frac{x-\mu}{\sigma}$

Using this formula we got:

$P(8.6$

And using the normal standard distirbution or excel we got:

$P(-1$

3 0

3 years ago

Read 2 more answers

Find a & b if the point p(6,4)&q(2,3) lie on the graph of ax+by=20

Cerrena [4.2K]

Answer:

a = - 2 , b = 8

Step-by-step explanation:

Since the points p and q lie on the graph then they satisfy the equation

(6, 4 ) , substitute x = 6 , y = 4 into the equation

6a + 4b = 20 → (1)

(2, 3 ) , substitute x = 2, y = 3 into the equation

2a + 3b = 20 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate a

- 6a - 9b = - 60 → (3)

add (1) and (3) term by term to eliminate a

0 - 5b = - 40

- 5b = - 40 ( divide both sides by - 5 )

b = 8

Substitute b = 8 into either of the 2 equations and solve for a

Substituting into (1)

6a + 4(8) = 20

6a + 32 = 20 ( subtract 32 from both sides )

6a = - 12 ( divide both sides by 6 )

a = - 2

4 0

3 years ago

Read 2 more answers

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve. x = plus-or-minus i StartRoot 2 EndRoot an

Rom4ik [11]

Answer:

$x=\pm\sqrt{2}i\text{ (or) }x=\pm i$

Step-by-step explanation:

We have been given an equation $x^4 + 3x^2 + 2 = 0$ . We are asked to find the solutions of our given equation using u-substitution.

We can rewrite our given equation as:

$(x^2)^2+3x^2+2 = 0$

Let us assume that $u=x^2$ .

$u^2+3u+2 = 0$

$u^2+2u+u+2 = 0$

$u(u+2)+1(u+2) = 0$

$(u+2)(u+1) = 0$

$(u+2)=0\text{ (or) }(u+1) = 0$

$u=-2\text{ (or) }u=-1$

Upon substituting back the value of u, we will get:

$x^2=-2\text{ (or) }x^2=-1$

$x=\pm\sqrt{-2}\text{ (or) }x=\pm\sqrt{-1}$

$x=\pm\sqrt{-1\cdot 2}\text{ (or) }x=\pm\sqrt{-1}$

Now we will use imaginary unit i. We know that $i^2=-1$ .

$x=\pm\sqrt{i^2\cdot 2}\text{ (or) }x=\pm\sqrt{i^2}$

$x=\pm\sqrt{2}i\text{ (or) }x=\pm i$

Therefore, the solutions for our given equation are $x=\pm\sqrt{2}i\text{ (or) }x=\pm i$ .

5 0

3 years ago

Read 2 more answers

The diagonal of a square is x units. What is the area of the square in terms of x? square units square units 2x square units squ

STatiana [176]

For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

$l ^ 2 + l ^ 2 = x ^ 2$

Where:

l: It's the side of the square.

$2l ^ 2 = x ^ 2\\l ^ 2 = \frac {x ^ 2} {2}$

We know that the area of a square is given by:

$A = l ^ 2$

So, the area is:

$A = \frac {x ^ 2} {2}$

Answer:

$A = \frac {x ^ 2} {2}$

8 0

3 years ago

Read 2 more answers