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3 years ago

If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

6 0

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

babunello [35]3 years ago

4 0

The area of the figure will change by a factor of 2.25

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Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represen

malfutka [58]

Answer:

0.513 = 51.3% probability of being a female.

Step-by-step explanation:

We are given the following formula:

$P(F \cup C) = P(F) + P(C) - P(F \cap C)$

In which:

Event F: Female

Event C: Red-green color blindness.

Probability of a Female

We have to find P(F), which is given by:

$P(F) = P(F \cup C) + P(F \cap C) - P(C)$

We are given by:

$P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548$

$P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513$

0.513 = 51.3% probability of being a female.

5 0

3 years ago

Let C = C1 + C2 where C1 is the quarter circle x^2+y^2=4, z=0,from (0,2,0) to (2,0,0), and where C2 is the line segment from (2,

trapecia [35]

Not much can be done without knowing what $\mathbf F(x,y,z)$ is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

$C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)$
$C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)$

where $0\le t_1\le\dfrac\pi2$ and $0\le t_2\le1$ . You have

$\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1$
$\mathrm d\mathbf r_2=(1,3,3)\,\mathrm dt_2$

and so the work is given by the integral

$\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r$
$=\displaystyle\int_0^{\pi/2}\mathbf F(2\sin t_1,2\cos t_1,0)\cdot(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1$
${}\displaystyle\,\,\,\,\,\,\,\,+\int_0^1\mathbf F(2+t_2,3t_2,3t_2)\cdot(1,3,3)\,\mathrm dt_2$

5 0

3 years ago

Complete the following statement of congruence: A. TRS B. RTS C. STR D. RST

Aliun [14]

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

4 0

2 years ago

Evaluate the expression for the given value of the variable(s).

Lesechka [4]

The answer to what you have there is -55 using order of operations. 5 times -6 is -30. 5 times -5 is -25. add. You get -55.

3 0

3 years ago

Read 2 more answers

Find the area of the trapazoid for me please :)

Doss [256]

Answer:

A = 14 m^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h where b is the length of the bases and h is the height

A = 1/2 (2+5) *4

A = 1/2(7)4

A = 14 m^2

6 0

4 years ago