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2 years ago

PLEASE ANSWER PROPERLY The law of cosines is used to find the measure of Z.

1 answer:

3 0

16² = 18² + 19² - 2(18)(19)cos(z)

256 = 324 + 361 - (684)cos(z)

256 = 685 - (684)cos(z)

-429 = -684cos(z)

cos(z) = -429/-684

z = cos⁻¹ (0.627)

z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]

z = 51

In short, Your Answer would be: 51

Hope this helps!

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STALIN [3.7K]

Answer:

Step-by-step explanation:

circle A is

x²+y²+6x-4y-12=0

x²+6x +y²-4y =12

think (a+b)² = a²+2ab+b² we have a=x, b= 3

and (a-b)² = a²-2ab+b² so we have a=y, b=2

x²+6x +9 +y²-4y+4 = 12-9-4

(x+3)² +(y-2)²= -1

compare to the general equation of a circle (x-h)²+(y-k)² =r²

the center is at (-3,2) and the radius is √-1 =i

Circle B has center (0, -4) and radius 3 so the equation is

(x-0)²+(y-(-4))² =3²

x² +(y+4)² = 9

point (√8, -3) is on the circle if it verifies the equation

√8² +(-3+4)² = 9

8+1 =9 true so the point is on the circle

Circle A and circle B are not similar because they do not have the same center and radius

4 0

2 years ago

PLEASE HALP MEH

Dmitry_Shevchenko [17]

Answer:

A.The scale factor is 0.25 ⇒ True

B.The scale factor is 4 ⇒ False

Step-by-step explanation:

See the attached figure.

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation that creates a smaller image is called a reduction.

As Shown, two right triangles, The first triangle is dilated to form the second triangle.

We can deduce that the second image is a smaller than the first triangle.

The hypotenuse of the first triangle = 4.4

The hypotenuse of the second triangle = 1.1

So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25

We will check the options:

A.The scale factor is 0.25 ⇒ True

B.The scale factor is 4 ⇒ False

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2 years ago

Read 2 more answers

Help!!!!! Identify KPN

o-na [289]

M<KPN = 1/2(90+50) = 140/2=70

answer D. 70 (last choice)

5 0

2 years ago

A realtor predicts that the value of a $70,000 home will increase by the same percentage each year, and will increase by 8% ever

mina [271]

Answer:

$f(n)=70,000(1.08)^{0.25n}$

3 0

2 years ago

A passenger train has tickets available for 12 window seats and 8 aisle seat the next person to buy a ticket will be randomly as

Ivan

Answer:

0.4

Step-by-step explanation:

Total seats:

12 + 8 = 20

P(aisle seat) = 8/20 = 0.4

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2 years ago