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ruslelena [56]
3 years ago
8

Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

ation y = x + 1 intersect the circle with radius 6 and center (0, 1)?

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

  (3√2, 1+3√2) ≈ (4.243, 5.243)

Step-by-step explanation:

The line has a slope of 1 and goes through the center of the circle, so will intersect the circle at the point ...

  (6, 6)/√2 +(0, 1) = (3√2, 1+3√2) ≈ (4.243, 5.243)

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Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she gra
stiks02 [169]

Answer:

Mean = 30516.67

Standard deviation, s = 3996.55

P(x < 27000) = 0.0011518

Step-by-step explanation:

Given the data:

28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800

Mean, xbar = Σx / n = 366200 /12 = 30516.67

Standard deviation, s = [√Σ(x - xbar) / n-1]

Using calculator, s = 3996.55

The ZSCORE = (x - mean) / s/√n

Zscore = (27000 - 30516.67) / (3996.55/√12)

Zscore = - 3516.67 / 1153.7046

Zscore = - 3.048

P(x < 27000) = P(Z < - 3.049) = 0.0011518

3 0
3 years ago
Help I've got 5min to figure it out 20 points for 1st actual answer and brainlyist​
VARVARA [1.3K]
Chronological order
Hoped this help
4 0
2 years ago
The value of a boat is depreciating at a rate of 7% per year. In 2004 the boat was worth $180,000. Whats the value in 2009?​
ankoles [38]

Answer:

$117,000

Step-by-step explanation:

-0% 2004

-7% 2005

-14% 2006

-21% 2007

-28% 2008

-35% 2009

180,000 x 0.35 (35%) = 63,000

180,000 - 63,000 = 117,000

$117,000

7 0
3 years ago
1. tan a = cot(a + 10°)
Temka [501]

Answer:

a=40+90n

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So \tan(a)=\cot(90-a).

We have the equation:

\tan(a)=\cot(a+10)

Make the above replacement:

\cot(90-a)=\cot(a+10)

Since cotangent has period 180 degrees, we can also write this as:

\cot(90-a+180n)=\cot(a+10)

So solving the following will give us a set of solutions for a:

90-a+180n=a+10

Add a on both sides:

90+180n=2a+10

Subtract 10 on both sides:

80+180n=2a

Divide both sides by 2:

40+90n=a

Symmetric property:

a=40+90n

7 0
2 years ago
Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o
Sveta_85 [38]

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

49 students will be selected randomly.

8 0
3 years ago
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