Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)? Explain the process you used (in words) and include the work you did to find this answer.
2 months ago
Solution 1
2 months ago
This would be a 90° arc.
To find this, we can find the measure of the central angle that intercepts the arc.
The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.
Since the slope is 0, this tells us it is a horizontal line.
The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.
These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.
The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.
To find this, we can find the measure of the central angle that intercepts the arc.
The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.
Since the slope is 0, this tells us it is a horizontal line.
The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.
These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.
The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.
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Solution 1
Yes:
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-13x -13x
_______________
6y = -13x + 10
Divide 6y, 13x, and 10 by 6
y = -13/6x + 10/6
Simply 10/6 by finding the least common multiple of the numerator and denominator, which is 2. 10 divided by 2 is 5, and 6 divided by 2 is 3. 10/6 = 5/3
Solution:
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_______________
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y = -13/6x + 10/6
Simply 10/6 by finding the least common multiple of the numerator and denominator, which is 2. 10 divided by 2 is 5, and 6 divided by 2 is 3. 10/6 = 5/3
Solution:
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To find one year, here's the equation:
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We can make it smaller:
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You can make $8000
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What does 3P2 equal?
Solution 1
No one has mentioned, so I will. What you are looking for is the permutation of 3 things taken 2 at a time. In other words, how many different unique ways are there to arrange 3 items, say colored balls, taking 2 of them for each group. By unique, I mean that 1 red and 1 blue is the same as 1 blue and 1 red,
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Solution 1
It would be pi over 6, 5 pi over 6, and 3 pi over 6.
Solution 2
Im not saying its right but I got 0,2π3,4π3,and2π f(x)=2cos2x−cosx−1=0
Solve this quadratic equation for cos x.
Since a + b + c = 0, use shortcut.
One real root is cos x = 1 and the other is cosx=ca=−12.
Trig table and unit circle -->
a. cos x = 1 --> arc x = 0, and arc x=2π
b. cosx=−12 --> arc x=±2π3
The arc −2π3 is co-terminal to the arc: 4π3
Answers for (0,2π):
0,2π3,4π3,and2π
Solve this quadratic equation for cos x.
Since a + b + c = 0, use shortcut.
One real root is cos x = 1 and the other is cosx=ca=−12.
Trig table and unit circle -->
a. cos x = 1 --> arc x = 0, and arc x=2π
b. cosx=−12 --> arc x=±2π3
The arc −2π3 is co-terminal to the arc: 4π3
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Evaluate 3P4, I didn’t understand this question but if you know it would great if you could explain!!! 15,120
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Solution 1
The thing is 3,024 my dude
Solution 2
Answer:
3,024
Step-by-step explanation:
Question
How many times do 12 go into 30
Solution 1
2 times with 6 left over because you would see how many times without going over and that would be 2 because 2x12 equals 24 amd 3x12 equals 36 bit that is ocer thirty then 30-24 equals 6. 6 is your remainder. Your full answer is 2 r4
Question
determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.
Solution 1
Equation for one year:
0.0725(400)
But we have 7 years:
7(0.0725(400))
Multiply in the parentheses
7(29) = 203
400 + 203 = 603
You now have $603, and made $203
0.0725(400)
But we have 7 years:
7(0.0725(400))
Multiply in the parentheses
7(29) = 203
400 + 203 = 603
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Question
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?
Solution 1
The maximum height at the moment is 266.0625 ft.
Projectile's height
The equation for a projectile's height versus time is
h = 2
V = 130
Substitute these values into the function
Take the first derivative
Equate the derivative with zero .
Solve the equation -32 t + 130=0
32 t = -130
t = -130 /(-32)
= 4.0625(s) .
Find the maximum height at the moment
t = 4.0625 (s)
h(4.0625)
= - 264.0625+528.125+2
= 266.0625 ft.
Therefore, the maximum height at the moment is 266.0625 ft.
To learn more about projectile's height
#SPJ2
Solution 2
For this case we must use the projectile equation for this problem.
We have then:
h (t) = - 16t ^ 2 + Vt + h
Where,
V: initial speed
h: height
For the tennis ball we have:
h (t) = - 16t ^ 2 + 130t + 2
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2
We have then:
h (t) = - 16t ^ 2 + Vt + h
Where,
V: initial speed
h: height
For the tennis ball we have:
h (t) = - 16t ^ 2 + 130t + 2
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2
Question
Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5% on the first 10 suits he sells. If he sells more than 10, he earns another 3% on the additional suits. Last weekend Juan sold 13 suits priced at $250 each. What was his commission? A. $185.00
B. $260.00
C. $147.50
D. $210.40
Solution 1
C. $147.50
the first 10 suits would sell at 250 each totaling 2500 which means he earns 5% of $2500, which is 0.05 x 2500 = $125. The next 3 suits which also sold at 250 which totals $750, he makes 3% of that amount which is 0.03 x 750 = $22.50. Together is makes 125 + 22.50 = $147.50 in commission.
the first 10 suits would sell at 250 each totaling 2500 which means he earns 5% of $2500, which is 0.05 x 2500 = $125. The next 3 suits which also sold at 250 which totals $750, he makes 3% of that amount which is 0.03 x 750 = $22.50. Together is makes 125 + 22.50 = $147.50 in commission.
Question
URGENT!!!! 100 POINTS!!! Data is shown from a random selection of bamboo plants on a bamboo farm. The number of days since the plant appeared above the soil and the height of the plant are shown. Days Since Plant Showed Above Soil l Height of Bamboo Plant in Centimeters
2 l 6.5
10 l 35.2
12 l 39.9
8 l 26.4
5 l 18.5
17 l 59.4
7 l 26.6
26 l 91.3
23 l 83.1
28 l 95.0
15 l 52.4
13 l 45.4
32 l 110.1
10 l 35.8
18 l 65.0
15 l 52.7
Which of the following lines of best fit represent the data if x is the number of days since the plant appeared and y is the height of the plant? (You might/might not need to make a scatter plot! Depends on the understanding of the question.)
y = –3.5x + 0.7
y = –0.7x + 3.5
y = 0.7x + 3.5
y = 3.5x + 0.7
Solution 1
Y=3.5x+0.7 is the answer.
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