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3 years ago

What is the lateral area of the cone? 10 yd and 12.1 yd

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

= $\pi r L$

On substituting the values, we get

= $\frac{22}{7}\times 10\times 12.1$

= $\frac{22}{7}\times 121$

= $380.28 \ yd^2$

0r,

= $381 \ yd^2$

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Tiwa spent 1 1/2 hours setting up her computer. It took her 3 times as long to install the software. How long did it take Tiwa t

MrRissso [65]

Answer:

Total time spent by Tiwa to set up the computer and install software = 6 hours

Step-by-step explanation:

Given:

Time spent by Tiwa to set up her computer = $1\frac{1}{2}\ hours$

Time spent to install the software is 3 times the time she took to set up the computer.

To find the total time Tiwa took to set up her computer and install the software.

Solution:

Time spent by Tiwa to install the software can be given as:

⇒ $3\times 1\frac{1}{2} \ hours$

In order to multiply mixed numbers we first change them to fractions.

We multiply the denominator to the whole number and add the numerator to it. Then we write the number as numerator of a fraction with the same denominator.

So, $1\frac{1}{2}=\frac{3}{2}$

So, we have:

⇒ $3\times \frac{3}{2}\ hours$

⇒ $\frac{9}{2}\ hours$

Total time spent by Tiwa to set up the computer and install software can be given as:

⇒ $\frac{3}{2}\ hours+\frac{9}{2}\ hours$

Since denominators are same, so we simply add the numerators.

⇒ $\frac{3+9}{2}\ hours$

⇒ $\frac{12}{2}\ hours$

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4 0

3 years ago

Two roller coasters are vying for the title of the steepest drop the first ride has a hill that drops 140 feet in a 40 foot run

muminat

Answer:

They have the same slope

Step-by-step explanation:

Given

Coaster 1:

$Drops = 140ft$

$Run = 40ft$

Coaster 2:

$Drops = 105ft$

$Run = 30ft$

First, we calculate the slope (m) of both coasters

$m = \frac{Rise}{Run}$

$m = \frac{Drops}{Run}$

For coaster 1:

$m = \frac{140ft}{40ft}$

$m = \frac{140}{40}$

$m = 3.5$

For coaster 1:

$m = \frac{105ft}{30ft}$

$m = \frac{105}{30}$

$m = 3.5$

$m = m=>3.5 = 3.5$

By comparison, they have the same slope

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3 years ago

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Shkiper50 [21]

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3 years ago

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kondaur [170]

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Alex73 [517]

Problem

Solution