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3 years ago

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need helpA triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(

0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?

1 answer:

iogann1982 [59]3 years ago

7 0

Answer:

2.5

Step-by-step explanation:

The dilation is 2.5. Using the point b(0,4) and B' (0,10), divide 10/4 you get 2.5.

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URGENT. WILL GIVE BRAINLIEST.

galben [10]

Answer:

A. Miguel has the greatest spread.

B. Considering the middle 50% of the training time, the person with the least spread is Adam.

C. Miguel is inconsistent with the time set for training compared to that of Adam.

Step-by-step explanation:

The spread of a data shows the range of the data.

Using the range to determine the spread of the given data:

A. The range of the two persons can be determined by:

Range = highest value - lowest value

So that:

Adam's range = 106 - 91

= 15

Miguel's range = 105 - 86

= 19

Comparing the range of the two, Miguel has the greatest spread.

B. Considering the middle 50% of the training time;

Adam - 103 105 104 106 100

Miguel - 88 86 89 93 105

Adam's 50% range = 106 - 100

= 6

Miguel's 50% range = 105 - 86

= 19

Considering the middle 50% of the training time, the person with the least spread is Adam.

C. The answers to parts 2(a) and 2(b) shows that; there is a wide variation (much inconsistency) in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.

8 0

3 years ago

An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid

Nadusha1986 [10]

Answer:

8.3

Step-by-step explanation:

hopeee this helpss outt !!

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3 years ago

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A gas is said to be compressed adiabatically if there is no gain or loss of heat. When such a gas is diatomic (has two atoms per

Tems11 [23]

Answer:

The pressure is changing at $\frac{dP}{dt}=3.68$

Step-by-step explanation:

Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.

We know that the volume is decreasing at the rate of $\frac{dV}{dt}=-4 \:{\frac{cm^3}{min}}$ and we want to find at what rate is the pressure changing.

The equation that model this situation is

$PV^{1.4}=k$

Differentiate both sides with respect to time t.

$\frac{d}{dt}(PV^{1.4})= \frac{d}{dt}k\\$

The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:

$\frac{d}{{dx}}\left( {f\left( x \right)g\left( x \right)} \right) = f\left( x \right)\frac{d}{{dx}}g\left( x \right) + \frac{d}{{dx}}f\left( x \right)g\left( x \right)$

Apply this rule to our expression we get

$V^{1.4}\cdot \frac{dP}{dt}+1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}=0$

Solve for $\frac{dP}{dt}$

$V^{1.4}\cdot \frac{dP}{dt}=-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}\\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}}{V^{1.4}} \\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}$

when P = 23 kg/cm2, V = 35 cm3, and $\frac{dV}{dt}=-4 \:{\frac{cm^3}{min}}$ this becomes

$\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}\\\\\frac{dP}{dt}=\frac{-1.4\cdot 23 \cdot -4}{35}}\\\\\frac{dP}{dt}=3.68$

The pressure is changing at $\frac{dP}{dt}=3.68$ .

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3 years ago

What is 55% of 38<br> A) 20.4<br> B)1767<br> C)2090<br> D)20.9<br> E) none of these

andrew-mc [135]

Answer:

e

Step-by-step explanation:

yes

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3 years ago

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A cylinder has radius r and height h. a. How many times greater is the surface area of a cylinder when both dimensions are multi

kondor19780726 [428]

To find it directly

A = 2 pi r h

A is proportional to rh

factor 2

A is multiplied by 2 * 2 = 4

factor 3

3 * 3 =9

factor 5

5 * 5 = 25

factor 10

10 * 10 = 100

(b) the increase in A by factor x is x^2

c(20)^2 = 400

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3 years ago