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evablogger [386]

3 years ago

6

Composite volcanoes are known for their beautiful, distinctive cone shape. A composite volcano called Mayon in the Philippines h

as a diameter of 20 km and a height of 2.46 km. Calculate the lateral area of the volcano. (JUSTIFY)

1 answer:

Grace [21]3 years ago

7 0

Answer: $77.283km^{2}$

Step-by-step explanation:

The formula for the lateral area of a cone $L.A$ is:

$L.A=\pi r h$

Where:

$r=10km$ is the radius of the circular base of the cone

As we know its diameter $d=20km$ , its radius is $r=\frac{d}{2}=10km$

$h=2.46km$ is the height of the cone

$L.A=\pi (10km)(2.46km)$

$L.A=77.283km^{2}$ This is the lateral area of the volcano with the shape of a cone

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-8.0 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number

grigory [225]

Answer:

Integer and Rational Number

Step-by-step explanation:

Natural numbers are positive numbers starting at 1 and going onward. Since -8.0 is not a positive number, it is not a natural number.

Whole numbers are natural numbers and 0 altogether. -8 is not greater than zero or positive, so it is not a whole number.

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. -8.0 can also be written as -8/1, so it is a rational number and an integer, since every integer is a number over 1 and also a rational number.

7 0

3 years ago

In the 2014 - 2015 school year, the mean score on the critical reading of the SAT was 490 with a standard deviation of 102 for j

bonufazy [111]

<u>Answer:</u>

The Ranking Percentile is (B) 97.5%

<u>Explanation :</u>

To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.

Formula to find the z-score

Z-score= $\frac{\text { scored obtained - mean }(\mu)}{\text { standard deviation }(\sigma)}$

Substituting the values in the above equation, we find

Z-score= $\frac{(694-490)}{102}$ =2

So, the Z-score is +2

Now, the corresponding value of Z-score 2 in the table is 0.9772

or the percentile score is 97.72 ~ 97.5 .

3 0

3 years ago

Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac

melomori [17]

Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ $b+c=20$
Equation [2] ⇒ $1.50b+5c=54.50$

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; $b$ and $c$ , that we need to solve, then this becomes a simultaneous equation problem.

First, rearrange Equation [1] to make either $b$ or $c$ the subject:
$b+c=20$
$b=20-c$

Then we substitute $b=20-c$ into Equation [2]
$1.50b+5c=54.50$
$1.50(20-c)+5c=54.50$
$30-1.50c+5c=54.50$
$5c-1.5c=54.50-30$
$3.5c=24.50$
$c=7$

Now we know the value of $c$ which is $c=7$ , substitute this value into $b=20-c$ we have $b=20-7=13$

Answer:
Numbers of books = 13
Numbers of CDs = 7

5 0

3 years ago

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

daser333 [38]

Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$

Step-by-step explanation:

The volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

The rate of change of volume means,

$\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}$

We have, $\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm$

So,

$\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s$

So, the volume is increasing at the rate of $502.65\ mm^3/s$ .

6 0

3 years ago

What do variables and functions have in common

klemol [59]

Answer:

A function is a mathematical relationship in which the values of a single dependent variable are determined by the values of one or more independent variables. Function means the dependent variable is determined by the independent variable(s).

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers