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3 years ago

What is the surface area of this cylinder?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

5 0

Answer:

$SA=703.36\ ft^2$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of a cylinder is given by the formula

$SA=2(\pi r^{2})+2\pi rh$

simplify

$SA=2\pi r(r+h)$

we have

$h=9\ ft\\r=7\ ft$

assume

$\pi=3.14$

substitute

$SA=2(3.14)(7)(7+9)=703.36\ ft^2$

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Find the value of x in the triangle shown below.<br> Choose 1 answer:

Ad libitum [116K]

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

7 0

3 years ago

Jane multiplies her number by three and subtracts 2.

katrin [286]

Answer:

Let the number they chose be 'x'.

Result of Jane = $3x -2$

Result of Elliot = $2x+3$

Given that,

The product of their result = 110

$or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}$