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ira [324]
3 years ago
8

Find the radius and the center of the circle with the given equation x^2+y^2−8x−2y=48.

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Step-by-step explanation:

x²+y²−8x−2y=48

the radius => √[(8/2)² + (2/2)² +48] =

√(16+1+48) =√65

the center => (8/2, 2/2)

=> (4, 1)

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Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through
11111nata11111 [884]

Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

o = 5668 * sine 58.5

o = 5668 * 0.8526

o = 4833 m

She is 4833 m above the sea level

5 0
3 years ago
Write the ratio as a fraction in simplest form 35 girls: 15 boys
nika2105 [10]

Answer:

7:3

Step-by-step explanation:

think of it as a fraction

6 0
3 years ago
A term account earns 3.6%, compounded daily for 3 years. If the amount is $8411.02 at the end of the 3 year period, what was the
ValentinkaMS [17]

Answer:

7550

Step-by-step explanation:

AV=PV(1+\frac{i}{n} )^{nt}\\8411.02=PV(1+\frac{.036}{365})^{365*3}\\8411.02= PV*1.114\\PV= 7550

5 0
3 years ago
This stuff confuses me
Slav-nsk [51]
It's slope would be undefined.
6 0
3 years ago
Read 2 more answers
Can you help me find the measure of each angle? Diagram attached
never [62]

<u>Answer:</u>

5x = 100°

4x = 80°

<u>Step-by-step explanation:</u>

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

5x+4x=180

9x=180

x=\frac{180}{90}

x=20

Finding the measure of both the angles:

5x = 5(20) = 100°

4x = 4(20) = 80°

4 0
3 years ago
Read 2 more answers
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