What is the scale factor in the dilation?

9966 [12]

First of all get rid of the parentheses,so it will be 3G-6g-5=-3g-5 I hope that I answered correctly

5 0

3 years ago

2) A girl starts from a point A and walks 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m fr

adelina 88 [10]

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B) ...............1

307² = 285² + x² - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) = $\frac{187.84}{307} \times sin(78)$

sin (θ) = 0.5985

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here negative bearing of A from C so - 65.24°

7 0

3 years ago

Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your wo

vazorg [7]

Answer:

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠C = ∠A = 45°

AB = y

BC = x = adjacent side

AC = 8 = hypotenuse

To Find:

x = ?

y = ?

Solution:

In Right Angle Triangle ABC by Cosine Identity we have

$\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

substituting the above given values we get

$\cos 45 = \dfrac{BC}{AC}=\dfrac{x}{8}$

$\dfrac{1}{\sqrt{2} } =\dfrac{x}{8}\\\therefore x=\dfrac{8}{\sqrt{2} } \\Rationalizing\ we\ get\\\therefore x=\dfrac{8}{\sqrt{2}}\times \dfrac{\sqrt{2} }{\sqrt{2}}}\\\therefore x=4\sqrt{2}=4\times 1.4142=5.6568\ units$

As The triangle is 45 - 45 - 90

It is an Isosceles Right triangle

$x=y$ ..... Isosceles Triangle property

$\therefore y=4\sqrt{2}=4\times 1.4142=5.6568\ units$

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

8 0

3 years ago

What is the value of n?

Paladinen [302]

Answer:

A

Step-by-step explanation:

180-133= 47

180-142= 38

47+38= 85

180-85= 95

If the inside of n is 95, n has to be 85

8 0

3 years ago

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D(m)=264m. When he w

ratelena [41]

Answer:

B(m)=A(m)-D(m)

B(m)=176m

Step-by-step explanation:

we are given

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function

D(m)=264m

When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function

A(m)=440m

B is the distance, in feet, that Roberto would travel on the moving sidewalk in m minutes if he were standing still

moving sidewalk distance = standstill distance + walking distance

A(m)=D(m)+B(m)

so, we get

B(m)=A(m)-D(m)

now, we can plug values

B(m)=440m-264m

B(m)=176m

7 0

3 years ago