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3 years ago

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at 7 p.m. the temperature is 72 degrees F at 10 p.m. it is 52 degrees find the average rate of change in temperature

1 answer:

mart [117]3 years ago

4 0

We will assume that we have a function relating between the time and the temperature. Any point in this function can be expressed as (x,y) where x is the time and y is the temperature (any point is expressed as (time, temperature)).

We have two points given:
<span>At 7 p.m. the temperature is 72 degrees F: First point is (7,72)
</span><span>At 10 p.m. the temperature is 52 degrees F: Second point is (10,52)

The rate of change is simply the slope of this function, this slope can be calculated as:
rate of change = (y2-y1) / (x2-x2)
we have y2= 52, y1= 72, x2= 10 and x1= 7

Substituting in the equation, we can calculate the rate of change as follows:
rate of change = (52-72) / (10-7) = -6.667 degrees/hours
Note: The negative sign indicated a DECREASE in the temperature.</span>

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Anna35 [415]

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So it's D.

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3 years ago

Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

Set the height of 37°-53°-90° triangle as x
Set the height of 50°-40°-90° triangle as y
The horizontal side both triangles share = 35

To find x To find y

$tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...$ $tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...$

To find the height of the building, add the x-value and y-value:

$x+y=26.3744+41.7114=68.0858$

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3 years ago

A horse is galloping for 15 minutes and runs a distance of 5 miles. How many minutes would it take the horse to run 23 miles?

Blababa [14]

Answer:

A runner ran 20 miles in 150 minutes. If she runs at that speed,

Step-by-step explanation:

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2 years ago

Write the numbers -|-2|, -(8), |-3|, -7 in order from smallest to largest.

andreyandreev [35.5K]

Answer:

The order is -(8), -7, -|-2|, |-3|

Step-by-step explanation:

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3 years ago

The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

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2 years ago