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3 years ago

Please show the steps taken to complete the problems:

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Answer:

Volume cylinder = 24501.42 m³

The surface area of the cone = 151.5 in²

The lateral area of the square pyramid = 352 in²

Step-by-step explanation:

∵ The volume of the cylinder = area base × height

∵ Its base is a circle

∴ V = πr² × h = 3.14 × (34/2)² × 27 = 24501.42 m³

∵ The surface area of the cone = 1/2 perimeter base × Slant height + area base

∵ Its base is a circle

∴ S.A = (1/2) × 2πr × <em>l</em> + πr²

∵ The slant height = $\sqrt{7^{2}+(\frac{8}{2})^{2}} =\sqrt{65}$

∴ S.A = 3.14 × (8/2) × √65 + 3.14 × (8/2)² = 151.5 in²

∵ The lateral area of the square pyramid = 1/2 perimeter base × slant height

∵ Its base is a square

∴ L.A = 1/2 × (8 × 4) × 22 = 352 in²

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HURRY I NEED A GOOD ANSWER FAST. Lucy has 14/6 a cup of yogurt for making fruit parfaits each parfait requires 2/6 of yogurt how

Fantom [35]

So she has $\frac{14}{6}$ cups of yogurt for making fruit parfaits, and each parfait requires $\frac{2}{6}$ cup of yogurt. This would imply that we would have to divide the first fraction by the second fraction to find out how many parfaits she can make.

Skip, switch, flip (I believe that's how the statement goes?) When you are dividing a fraction, you skip the first fraction, switch the division sign into a multiplication sign, and flip the second fraction so the denominator is the numerator, and the numerator is the denominator. That would make it :

$\frac{14}{6}$ × $\frac{6}{2}$ : And 14 × 6 is 84, and 6 times 2 is 12. That would mean that we divide $\frac{84}{12}$ .

84 divided by 12 is 7. She can make 7 parfaits.

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4 years ago

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Brian has six eggs. He needs 2/3 of the eggs to make an omelet. How many eggs does he have

IRISSAK [1]

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4 years ago

Select all the equations that have the same solution as 2x-5=15.

liberstina [14]

Step-by-step explanation:

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3 years ago

h(x) = x ^ 2 - 7x - 8 1) What are the zeros of the function? Write the smaller first, and the larger second smaller I largerx =

kramer

Answer:

The zeros are x = -1 and x = 8

The vertex is (3.5, -20.25)

Step-by-step explanation:

When we have a quadratic equation like:

y = a*x^2 + b*x + c

The zeros of the function are the values of x such that:

a*x^2 + b*x + c = 0

And the solutions are given by the Bhaskara's equation, which is:

$x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}$

And the vertex is at:

x = -b/2a

The y-value at the vertex is the function evaluated in that point.

In this case, we have the equation:

h(x) = x^2 - 7*x - 8

Then:

a = 1

b = -7

c= -8

Replacing these in the Bhaskara's equation we get:

$x = \frac{-(-7) \pm \sqrt{(-7)^2-4*1*(-8)} }{2*1} = \frac{7 \pm 9 }{2}$

Then the two solutions are:

x = (7 - 9)/2 = -2/2 = -1 (this is the smaller one)

and

x = (7 + 9)/2 = 16/2 = 8 (this is the larger one)

And we will have the vertex at:

x = -(-7)/2*1 = 7/2 = 3.5

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h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25

Then the vertex is the point:

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3 years ago

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nirvana33 [79]

Answer:

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