All categories

3 years ago

ABC ~ DEF and the scale factor from ABC to DEF is 1/2, what are the lengths of DE

Mathematics

1 answer:

Likurg_2 [28]3 years ago

6 0

Answer:

Step-by-step explanation:

ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.

In this case the scale factor is 1/2. That means DEF is half ABC.

Since AB = 26 then DE must be 26/2 = 13

You might be interested in

a trader bought some eggs at 64 per dozen and sold 2/3 of them at 240/= per tray and the other 1/3 at 225/= per tray.In so doing

Lena [83]

Answer:

<h3>i think 30×12(-64)</h3>

do this simplification

your answer will come

4 0

2 years ago

A rectangle sandbox has an area of 64 square yards. What might be the perimeter of the sandbox?

zubka84 [21]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Entering the expressway is a hazardous vehicle maneuver. true or false

ollegr [7]

<span>Entering the expressway is a hazardous vehicle maneuver.
</span>The answer is True

6 0

3 years ago

VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos

kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) = 50/158.36

(dh / dt) = 0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0

2 years ago

Read 2 more answers

For which pair A function is the exponential constantly growing at a faster rate than a quadratic over the interval zero less th

VashaNatasha [74]

Answer:

Here is the complete question:

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0<=X<=5.

Answer is C (the third option)

Step-by-step explanation:

Basically in exponential growth a quantity may increase over time. When a quantity increases of decreases by equal or same percent over equal period of times this means that the quantity increases or decreases exponentially. I have attached the image of the correct option.

4 0

3 years ago