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3 years ago

The rectangle shown is dilated by a scale factor of 3.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

Given that the image was dilated by scale factor 3 then:
a] Length of the dilated side will be:
length/width=(original length/width)*(scale factor)
length=3*10=30 in
Width=3*6=18 in
thus the dimensions of the new image will be:
30 in by 18 in

b. The diagram below represent s the rectangle. 1 cm represent 10 inches

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Enter the patriot equivalent to Tan (A) <br><br> And<br><br> Enter the ratio equivalent to cos (B)

PolarNik [594]

Answer:

$(a)\ \tan A = \frac{5}{12}$

$(b)\ \cos B = \frac{5}{13}$

Step-by-step explanation:

Given

See attachment for triangles

Solving (a)

$\tan(A)$

The tan of an angle is:

$\tan(\theta) = \frac{Opposite}{Adjacent}$

From the given triangle.

$Opposite = 5$

$Adjacent = 12$

So, we have:

$\tan A = \frac{5}{12}$

Solving (b)

$\cos(B)$

The cos of an angle is:

$\cos(\theta) = \frac{Adjacent}{Hypotenuse}$

From the given triangle.

$Adjacent = 5$

$Hypotenuse = 13$

So, we have:

$\cos B = \frac{5}{13}$

3 0

2 years ago

Renting a car costs $35.50 per day, plus 40¢ per mile. If a customer paid $131 for a 2-day rental, how many miles was the car dr

qwelly [4]

Subtract the fee from the total:

131- 35.50 = 95.50

Now divide that by the price per mile:

95.50/ 0.40 = 238.75

They drove 238.74 miles

6 0

2 years ago

Read 2 more answers

Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.

Ilya [14]

Answer:

none of them

Step-by-step explanation:

Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.

line 1:

y – 1 = (x+2)

y = x + 3

slope of line 1 = 1

line 2:

y + 2 = –3(x – 4)

y + 2 = -3*x + 12

y = -3*x + 10

slope of line 2 = -3

m1*m2 = 1*(-3 ) = -3

They are not perpendicular

line 3:

y − 5 = 3(x + 11)

y − 5 = 3*x + 33

y = 3*x + 38

slope of line 3 = 3

m1*m3 = 1*3 = 3

They are not perpendicular

line 4:

y = -3x –

slope of line 4 = -3

m1*m4 = 1*(-3 ) = -3

They are not perpendicular

line 5:

y = x – 2

slope of line 5 = 1

m1*m5 = 1*1 = 1

They are not perpendicular

line 6:

3x + y = 7

y = -3x + 7

slope of line 6 = -3

m1*m6 = 1*(-3 ) = -3

They are not perpendicular

5 0

3 years ago

Read 2 more answers

The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the cor

Jet001 [13]

Answer:

A is f ", B is f, C is f '.

Step-by-step explanation:

Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.

8 0

3 years ago

Which of the following is an example of the difference of two squares

True [87]

Complete Question: Which of the following is an example of the difference of two squares?

A x² − 9

B x³ − 9

C (x + 9)²

D (x − 9)²

Answer:

A. $x^2 - 9$ .

Step-by-step explanation:

An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.

Thus, difference of two squares takes the following form: $a^2 - b^2 = (a + b)(a - b)$ .

a² and b² are perfect squares. Expanding $(a + b)(a - b)$ will give us $a^2 - b^2$ .

Therefore, an example of the difference of two squares, from the given options, is $x^2 - 9$ .

$x^2 - 9$ can be factorised as $x^2 - 3^2 = (x + 3)(x - 3)$ .

8 0

3 years ago