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inessss [21]
3 years ago
9

Select the correct answer. Which statement is true?

Mathematics
1 answer:
Kay [80]3 years ago
7 0
The correct answer is letter C
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Determine the center and radius of the following circle equation:
ioda

Answer:

C(5,-9) and r=8.

Step-by-step explanation:

C(p, q) - center

r=radius

k:x^2 +y^2 +dx+ey+f=0

x^2+y^2 - 10x+18y+42=0

d=-10, e=18, f=42

p=-d/2=-(-10)/2=10/2=5

q=-e/2=-18/2=-9

r^2 =p^2+q^2-f

r^2 =5^2 +(-9)^2 - 42

r^2=25+81-42

r^2 =106-42

r^2 =64

r=sqrt(64)

r=8

C(p,q)=C(5,-9) r=8

5 0
3 years ago
Find the perimeter of the polygon if angle B is congruent to angle D.
UkoKoshka [18]

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

8 0
3 years ago
If the outliers are not included, what is the mean of the data set?
Aleksandr-060686 [28]
The mean of the data without the outliers will be B 65.
6 0
3 years ago
Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
Mandarinka [93]

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

7 0
3 years ago
Can u help me please
kow [346]

Answer:

where's the number?

Step-by-step explanation:

4 0
3 years ago
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